c-678d7253cd7d","topicSlug":"vectors-2","cards":[{"id":"30867283-ef4f-41f6-927c-f8c1350512f7","cardType":"cloze","front":"A vector has both [ ], whereas a scalar has magnitude only.","back":"A vector has both magnitude and direction, whereas a scalar has magnitude only.","points":null,"mcqOptions":null},{"id":"29269f89-9ba9-4d0a-a7d2-752478186181","cardType":"cloze","front":"Two vectors are equal when they have the same [ ], even if they start at different points.","back":"Two vectors are equal when they have the same magnitude and direction, even if they start at different points.","points":null,"mcqOptions":null},{"id":"8a52482a-1908-4792-8b90-7e1250ecc777","cardType":"basic","front":"Interpret $\\begin{bmatrix}-4\\\\3\\end{bmatrix}$ as a displacement.","back":"4 units left and 3 units up.","points":1,"mcqOptions":null},{"id":"abbb41e9-b448-40f7-ad35-eabf1df7687f","cardType":"cloze","front":"In $\\begin{bmatrix}x\\\\y\\end{bmatrix}$, the top component is [ ] and the bottom component is vertical.","back":"In $\\begin{bmatrix}x\\\\y\\end{bmatrix}$, the top component is horizontal and the bottom component is vertical.","points":null,"mcqOptions":null},{"id":"9605895f-5f93-49a0-b3b6-eabb4a6341df","cardType":"cloze","front":"In $\\begin{bmatrix}x\\\\y\\end{bmatrix}$, the top component is horizontal and the bottom component is [ ].","back":"In $\\begin{bmatrix}x\\\\y\\end{bmatrix}$, the top component is horizontal and the bottom component is vertical.","points":null,"mcqOptions":null},{"id":"7e7f3d46-366a-4f65-9b7a-f4dcd9f80333","cardType":"basic","front":"Write $-2\\mathbf{i}+5\\mathbf{j}$ as a column vector.","back":"$\\begin{bmatrix}-2\\\\5\\end{bmatrix}$","points":1,"mcqOptions":null},{"id":"4400c801-61e6-46f2-9a67-07ede0e926c9","cardType":"basic","front":"Write $\\begin{bmatrix}-3\\\\7\\end{bmatrix}$ using $\\mathbf{i}$ and $\\mathbf{j}$.","back":"$-3\\mathbf{i}+7\\mathbf{j}$","points":1,"mcqOptions":null},{"id":"14d3f228-c682-41d7-a4f8-3fd688ceab45","cardType":"basic","front":"What are the column vectors for $\\mathbf{i}$ and $\\mathbf{j}$?","back":"

$\\mathbf{i}=\\begin{bmatrix}1\\\\0\\end{bmatrix}$
$\\mathbf{j}=\\begin{bmatrix}0\\\\1\\end{bmatrix}$

","points":3,"mcqOptions":null},{"id":"970c3518-77c6-48ff-85da-28b8a4f7f061","cardType":"basic","front":"Calculate $\\begin{bmatrix}3\\\\-2\\end{bmatrix}+\\begin{bmatrix}-1\\\\5\\end{bmatrix}$.","back":"$\\begin{bmatrix}2\\\\3\\end{bmatrix}$","points":1,"mcqOptions":null},{"id":"5c3ea7bc-a827-410f-8646-444aa989cf89","cardType":"basic","front":"How is subtracting $\\mathbf{b}$ handled component-wise?","back":"Add $-\\mathbf{b}$ by changing every component's sign.","points":2,"mcqOptions":null},{"id":"b6087f3d-d44f-4027-aa8d-3191c40afafe","cardType":"basic","front":"Calculate $-3\\begin{bmatrix}2\\\\-4\\end{bmatrix}$.","back":"$\\begin{bmatrix}-6\\\\12\\end{bmatrix}$","points":1,"mcqOptions":null},{"id":"d208a41e-1abe-423e-a44f-8cd54fc1e028","cardType":"cloze","front":"Multiplication by a negative scalar [ ] as well as scaling its length.","back":"Multiplication by a negative scalar reverses the vector's direction as well as scaling its length.","points":null,"mcqOptions":null},{"id":"fe1b383e-748e-4a26-9a79-c802261b35c4","cardType":"basic","front":"How can you determine whether two non-zero vectors are parallel?","back":"One whole vector must be a scalar multiple of the other.","points":2,"mcqO

1.8.1 Vectors Flashcards

1.8.1 Vectors Flashcards