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Magnitude and units describe it."},{"text":"A scalar needs no value because its direction describes it fully.","correct":false,"explanation":"A scalar must have a numerical value or magnitude to be meaningful. Direction does not replace the value and is not required."}]},{"id":"270935a7-61bf-4779-99d5-b54933ec50f5","cardType":"basic","points":1,"front":"Give six examples of scalar quantities.","back":"

Mass
Time
Temperature
Speed
Distance
Energy

","mcqOptions":[{"text":"

Mass
Time
Temperature
Speed
Distance
Energy

","correct":true,"explanation":"Mass, time, temperature, speed, distance and energy are scalars because each is described by magnitude and units, without a direction."},{"text":"

Force
Time
Temperature
Speed
Distance
Energy

","correct":false,"explanation":"Force is a vector because it has magnitude and direction. The scalar examples are mass, time, temperature, speed, distance and energy."},{"text":"

Mass
Velocity
Temperature
Speed
Distance
Energy

","correct":false,"explanation":"Velocity is a vector because its direction matters, unlike speed. The six scalar examples include mass, time, temperature, speed, distance and energy."},{"text":"

Mass
Time
Acceleration
Speed
Displacement
Energy

","correct":false,"explanation":"Acceleration and displacement are vectors because both have direction. The scalar list contains temperature and distance instead of these vector quantities."}]},{"id":"242736ff-6313-41aa-80a5-21b3961d03be","cardType":"basic","points":3,"front":"What is the difference between speed and velocity?","back":"Speed is a scalar; velocity is a vector.","mcqOptions":[{"text":"Speed is a scalar; velocity is a vector.","correct":true,"explanation":"Speed gives how fast an object moves and has magnitude only. Velocity also specifies direction, so it is a vector."},{"text":"Speed is a vector; velocity is a scalar.","correct":false,"explanation":"This reverses the definitions. Speed is a scalar with magnitude only, whereas velocity is a vector with magnitude and direction."},{"text":"Speed is a scalar; velocity is a scalar.","correct":false,"explanation":"Speed is correctly identified as a scalar, but velocity includes direction as well as magnitude and is therefore a vector."},{"text":"Speed is a vector; velocity is a vector.","correct":false,"explanation":"Velocity is a vector, but speed is not. Speed measures only how fast something moves and has no direction."}]},{"id":"70f881d8-574f-4949-8ee8-7cca6362d005","cardType":"basic","points":1,"front":"What two features distinguish a vector quantity?","back":"A vector has both magnitude and direction.","mcqOptions":[{"text":"A vector has both magnitude and direction.","correct":true,"explanation":"A vector quantity is defined by two features: its magnitude, which gives its size, and its direction, which gives the way it acts."},{"text":"A vector has both magnitude and units.","correct":false,"explanation":"Units are needed for both scalars and vectors, so they do not distinguish vectors. A vector specifically has magnitude and direction."},{"text":"A vector has both direction and units.","correct":false,"explanation":"A vector also requires magnitude. Units alone do not distinguish it, because scalar quantities have units too."},{"text":"A vector has both speed and direction.","correct":false,"explanation":"Speed is a scalar quantity, not a general feature of every vector. Vectors are distinguished by having magnitude and direction."}]},{"id":"e7e21ebc-68f1-4ef4-924e-e0140e119774","cardType":"basic","points":2,"front":"Why can two vectors with equal magnitudes still be different?","back":"The direction matters because vectors with the same magnitude but different directions are different vectors.","mcqOptions":[{"text":"The direction matters because vectors with the same magnitude but different directions are different vectors.","correct":true,"explanation":"Vectors are defined by both magnitude and direction. Changing the direction changes the vector even when its numerical size remains unchanged."},{"text":"The units matter because vectors with the same magnitude but different directions are different units.","correct":false,"explanation":"Changing direction does not change the units. Vectors differ because their directions differ, while units describe how their magnitudes are measured."},{"text":"The magnitude matters because vectors with the same magnitude but different directions are the same vectors.","correct":false,"explanation":"Equal magnitudes do not make vectors identical when directions differ. Both magnitude and direction are needed to identify a vector."},{"text":"The speed matters because vectors with the same magnitude but different directions are different speeds.","correct":false,"explanation":"Speed is a scalar and does not identify a vector's direction. Vectors with equal magnitudes differ because their directions are different."}]},{"id":"0c542f91-c183-41ae-8b6a-db4db9ebb27b","cardType":"basic","points":1,"front":"Give six examples of vector quantities.","back":"

Force
Velocity
Acceleration
Displacement
Momentum
Weight

","mcqOptions":[{"text":"

Force
Velocity
Acceleration
Displacement
Momentum
Weight

","correct":true,"explanation":"Force, velocity, acceleration, displacement, momentum and weight are vectors because each has both a magnitude and a direction."},{"text":"

Mass
Velocity
Acceleration
Displacement
Momentum
Weight

","correct":false,"explanation":"Mass is a scalar and has no direction. Force should replace mass in this list of vector quantities."},{"text":"

Force
Speed
Acceleration
Displacement
Momentum
Weight

","correct":false,"explanation":"Speed is a scalar because it has magnitude only. Velocity, rather than speed, is the vector quantity in this group."},{"text":"

Force
Velocity
Temperature
Displacement
Momentum
Weight

","correct":false,"explanation":"Temperature is a scalar and has no direction. Acceleration should be included instead because it is a vector."}]},{"id":"ca350401-b4ba-43db-a54f-e20daf707c64","cardType":"basic","points":2,"front":"What is missing from the description “a force of $15\\ \\text{N}$”?","back":"The description is incomplete: it gives only the magnitude, not the direction.","mcqOptions":[{"text":"The description is incomplete: it gives only the magnitude, not the direction.","correct":true,"explanation":"A force is a vector, so its description must include both magnitude and direction. The value $15\\ \\text{N}$ gives magnitude only."},{"text":"The description is incomplete: it gives only the direction, not the magnitude.","correct":false,"explanation":"The value $15\\ \\text{N}$ gives the force's magnitude, not its direction. A direction such as upwards or to the right is also needed."},{"text":"The description is incomplete: it gives only the unit, not the direction.","correct":false,"explanation":"The newton is the unit and 15 is the numerical magnitude. The missing information is the force's direction."},{"text":"The description is incomplete: it gives only the vector, not the magnitude.","correct":false,"explanation":"A force is the vector quantity being described, but 15 N already gives its magnitude. The missing part is its direction."}]},{"id":"395eda76-f1c6-4280-aa40-773905fa871f","cardType":"basic","points":2,"front":"Why are a $10\\ \\text{N}$ force right and a $10\\ \\text{N}$ force left different vectors?","back":"A force of $10\\ \\text{N}$ to the right differs from one of $10\\ \\text{N}$ to the left because their directions are opposite.","mcqOptions":[{"text":"A force of $10\\ \\text{N}$ to the right differs from one of $10\\ \\text{N}$ to the left because their directions are opposite.","correct":true,"explanation":"Both forces have the same magnitude, 10 N, but one acts right and the other left. Opposite directions make them different vectors."},{"text":"A force of $10\\ \\text{N}$ to the right differs from one of $10\\ \\text{N}$ to the left because their magnitudes are different.","correct":false,"explanation":"The magnitudes are equal at 10 N. The vectors differ because their directions are opposite, not because their magnitudes differ."},{"text":"A force of $10\\ \\text{N}$ to the right differs from one of $10\\ \\text{N}$ to the left because their units are different.","correct":false,"explanation":"Both forces use newtons and have the same unit. Their opposite directions make them different vectors."},{"text":"A force of $10\\ \\text{N}$ to the right differs from one of $10\\ \\text{N}$ to the left because their values are unequal.","correct":false,"explanation":"The numerical values are both 10 N, so they are equal in magnitude. The difference comes from their opposite directions."}]},{"id":"fe6e9214-9a32-416d-8315-618e29054fca","cardType":"basic","points":3,"front":"What do scalars and vectors both have, and what does only a vector have?","back":"Both scalars and vectors have magnitude and units; only vectors also have direction.","mcqOptions":[{"text":"Both scalars and vectors have magnitude and units; only vectors also have direction.","correct":true,"explanation":"Every physical quantity has a magnitude and a unit. Vectors additionally require direction, whereas scalars are fully described without it."},{"text":"Both scalars and vectors have direction and units; only vectors also have magnitude.","correct":false,"explanation":"Both types have magnitude, and only vectors have direction. Units apply to both, so this option reverses the distinguishing feature."},{"text":"Both scalars and vectors have magnitude and direction; only vectors also have units.","correct":false,"explanation":"Scalars do not have direction as a defining feature, and both types have units. Vectors alone have direction in addition to magnitude and units."},{"text":"Both scalars and vectors have magnitude only; only vectors also have units and direction.","correct":false,"explanation":"Units are associated with both scalars and vectors, not vectors alone. Vectors have magnitude, units and direction, while scalars lack direction."}]},{"id":"cd66754f-ef2a-4c9e-94fa-9bd6683341d7","cardType":"basic","points":1,"front":"In a vector arrow, what does the arrow's length represent?","back":"The arrow's length represents the vector's magnitude.","mcqOptions":[{"text":"The arrow's length represents the vector's magnitude.","correct":true,"explanation":"When a vector is drawn to scale, its arrow length represents the magnitude. The arrowhead separately indicates the direction."},{"text":"The arrow's width represents the vector's magnitude.","correct":false,"explanation":"Arrow width is not used to represent a vector's size. In a scaled diagram, the arrow's length shows magnitude."},{"text":"The arrow's arrowhead represents the vector's magnitude.","correct":false,"explanation":"The arrowhead shows direction, not magnitude. The length of the arrow represents how large the vector is."},{"text":"The arrow's position represents the vector's magnitude.","correct":false,"explanation":"Position may show where a vector acts, but it does not set its magnitude. The vector's length represents magnitude."}]},{"id":"dadb86ec-3bd0-4bae-8346-13c835a21144","cardType":"basic","points":1,"front":"What does the arrowhead on a vector arrow show?","back":"The arrowhead shows the direction in which the vector acts.","mcqOptions":[{"text":"The arrowhead shows the direction in which the vector acts.","correct":true,"explanation":"The arrowhead points along the direction of the vector. Its length represents magnitude, so the two visual features provide different information."},{"text":"The arrowhead shows the magnitude of the vector.","correct":false,"explanation":"The arrowhead identifies direction, not size. The vector's magnitude is represented by the arrow's length when a scale is used."},{"text":"The arrowhead shows the unit of the vector.","correct":false,"explanation":"An arrowhead has no role in identifying units. It shows direction, while the numerical label or context gives the unit."},{"text":"The arrowhead shows the starting point of the vector.","correct":false,"explanation":"The tail normally indicates where the vector begins, while the arrowhead points in the direction in which the vector acts."}]},{"id":"dd3742b2-d0ec-44a5-82cb-0653ed467bcb","cardType":"basic","points":2,"front":"What does a longer vector arrow indicate when the same scale is used?","back":"A longer arrow represents a greater magnitude, provided the same scale is used.","mcqOptions":[{"text":"A longer arrow represents a greater magnitude, provided the same scale is used.","correct":true,"explanation":"With one consistent scale, arrow length is proportional to magnitude, so a longer arrow represents a greater magnitude."},{"text":"A longer arrow represents a smaller magnitude, provided the same scale is used.","correct":false,"explanation":"This reverses the scale relationship. With the same scale, increasing arrow length means increasing magnitude."},{"text":"A longer arrow represents a different unit, provided the same scale is used.","correct":false,"explanation":"Using the same scale keeps the unit relationship unchanged. A longer arrow indicates greater magnitude, not a different unit."},{"text":"A longer arrow represents a different direction, provided the same scale is used.","correct":false,"explanation":"Direction is shown by the arrowhead's pointing direction. Arrow length represents magnitude when the same scale is used."}]},{"id":"94edddf2-e1bc-4a0f-987e-b17c521a9099","cardType":"basic","points":2,"front":"A $4\\ \\text{cm}$ arrow points left on a scale of $1\\ \\text{cm}=5\\ \\text{N}$. What force does it represent?","back":"The force has magnitude $20\\ \\text{N}$ and acts to the left.","mcqOptions":[{"text":"The force has magnitude $20\\ \\text{N}$ and acts to the left.","correct":true,"explanation":"The 4 cm length multiplied by 5 N per cm gives 20 N. The arrow points left, so the force acts to the left."},{"text":"The force has magnitude $9\\ \\text{N}$ and acts to the left.","correct":false,"explanation":"Adding the arrow length and scale value gives an invalid result. The correct calculation is $4\\ \\text{cm}\\times5\\ \\text{N/cm}=20\\ \\text{N}$, directed left."},{"text":"The force has magnitude $20\\ \\text{N}$ and acts to the right.","correct":false,"explanation":"The magnitude calculation is correct, but the arrow points left, so its direction is left rather than right."},{"text":"The force has magnitude $0.8\\ \\text{N}$ and acts to the left.","correct":false,"explanation":"Dividing by the scale reverses the required conversion. Multiplying 4 cm by 5 N per cm gives the correct magnitude, 20 N, to the left."}]},{"id":"1cdaefad-beb1-4ee6-8d92-a9141d6c6d12","cardType":"cloze","points":null,"front":"A scalar quantity has [ ] only.","back":"A scalar quantity has magnitude only.","mcqOptions":[{"text":"magnitude","correct":true,"explanation":"Magnitude is the size or numerical value of a quantity. A scalar is fully described by its magnitude, together with any appropriate unit."},{"text":"direction","correct":false,"explanation":"Direction is associated with vector quantities, not scalar quantities. A scalar has magnitude only, so it can be described without specifying an orientation."},{"text":"position","correct":false,"explanation":"Position describes where an object is located and is not the defining feature of a scalar. A scalar quantity is characterised by magnitude only."},{"text":"unit","correct":false,"explanation":"A unit identifies how a physical quantity is measured, but it does not define a scalar. The defining property is that a scalar has magnitude only."}]},{"id":"98c17222-1409-4ddc-bc7e-caab6ab7af69","cardType":"cloze","points":null,"front":"A vector quantity has magnitude and associated [ ].","back":"A vector quantity has magnitude and associated direction.","mcqOptions":[{"text":"direction","correct":true,"explanation":"A vector requires both magnitude and direction for a complete description. For example, velocity specifies both how fast an object moves and where it is heading."},{"text":"distance","correct":false,"explanation":"Distance is itself a scalar quantity and is not a feature required by every vector. A vector is completely described by its magnitude and direction."},{"text":"unit","correct":false,"explanation":"Both scalar and vector measurements may have units, so a unit does not distinguish a vector. A vector has a magnitude and an associated direction."},{"text":"position","correct":false,"explanation":"Position may be represented by a vector relative to an origin, but it is not a property of every vector. The required associated property is direction."}]},{"id":"b252f1d1-a738-46a3-9008-bdb6064563df","cardType":"cloze","points":null,"front":"A vector can be represented by an [ ] drawn to a chosen scale.","back":"A vector can be represented by an arrow drawn to a chosen scale.","mcqOptions":[{"text":"arrow","correct":true,"explanation":"An arrow represents a vector because its length can show the magnitude according to a chosen scale, while its orientation and arrowhead show the direction."},{"text":"circle","correct":false,"explanation":"A circle has no single orientation or endpoint indicating direction, so it cannot represent a vector fully. A scaled arrow shows both magnitude and direction."},{"text":"dot","correct":false,"explanation":"A dot can mark a position but has neither a scaled length nor an indicated direction. A vector is represented by an arrow drawn to scale."},{"text":"number","correct":false,"explanation":"A number can state a magnitude but does not visually indicate direction. A vector can instead be represented by a scaled arrow whose orientation shows direction."}]},{"id":"f70dd8ef-8f2f-428c-9729-f0e2a8091d9e","cardType":"cloze","points":null,"front":"A force of $15\\ \\text{N}$ upwards is a complete vector description because it states the magnitude and the [ ].","back":"A force of $15\\ \\text{N}$ upwards is a complete vector description because it states the magnitude and the direction.","mcqOptions":[{"text":"direction","correct":true,"explanation":"The value $15\\ \\text{N}$ gives the force's magnitude, while “upwards” gives its direction. Together, these provide the two components needed to describe a vector."},{"text":"distance","correct":false,"explanation":"No distance is needed to specify a force vector. Here, $15\\ \\text{N}$ is the magnitude and “upwards” is the direction, making the vector description complete."},{"text":"position","correct":false,"explanation":"The point where a force acts can matter in other contexts, but it is not supplied by “upwards”. That word specifies direction, completing the vector description."},{"text":"speed","correct":false,"explanation":"Speed is a separate scalar quantity and is not part of this force description. The stated magnitude is $15\\ \\text{N}$, and “upwards” supplies the direction."}]},{"id":"5ac9943c-c9d4-4d1a-98c4-856b4b7c19f6","cardType":"cloze","points":null,"front":"Using the scale $1\\ \\text{cm}=5\\ \\text{N}$, a $4\\ \\text{cm}$ arrow represents a magnitude of $\\text{[...]}$.","back":"Using the scale $1\\ \\text{cm}=5\\ \\text{N}$, a $4\\ \\text{cm}$ arrow represents a magnitude of $\\boxed{20\\ \\text{N}}$.","mcqOptions":[{"text":"$$20\\ \\text{N}$","correct":true,"explanation":"Each centimetre represents $5\\ \\text{N}$, so multiplying the $4\\ \\text{cm}$ arrow length by $5\\ \\text{N}$ per centimetre gives $20\\ \\text{N}$."},{"text":"$$9\\ \\text{N}$","correct":false,"explanation":"Adding the numerical values $4$ and $5$ misuses the scale. The arrow length must be multiplied by $5\\ \\text{N}$ per centimetre, giving $20\\ \\text{N}$."},{"text":"$$1.25\\ \\text{N}$","correct":false,"explanation":"Dividing $5$ by $4$ reverses the required scale calculation. Four centimetres each represent $5\\ \\text{N}$, so the correct magnitude is $20\\ \\text{N}$."},{"text":"$$25\\ \\text{N}$","correct":false,"explanation":"This treats the arrow as though it were $5\\ \\text{cm}$ long. Multiplying the actual $4\\ \\text{cm}$ length by $5\\ \\text{N}$ per centimetre gives $20\\ \\text{N}$."}]}]}],"examCountdown":{"examDate":"2027-05-25","paperLabel":"Paper 1"},"heading":"5.1.1 Scalar and vector quantities","title":"5.1.1 Scalar and vector quantities Flashcards","topbar":{"backHref":"/gcse/physics/aqa/flashcards"},"topicSidebar":"$L37"}]}],"topicId":"7110cb06-8292-5e36-9474-d16b0d8d8d64","walled":"$L38"}],"$L39","$L3a"]