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1.13.1 Vectors in two and three dimensions

Card 1 of 22

How does a vector differ from a scalar?

A

For non-zero a\mathbf{a}a, the unit vector in its direction is a^=a∣a∣\boxed{\hat{\mathbf{a}}=\frac{\mathbf{a}}{|\mathbf{a}|}}a^=∣a∣a​​.

B

OA→=(3−25)\overrightarrow{OA}=\begin{pmatrix}3\\-2\\5\end{pmatrix}OA=​3−25​​

C

A vector has magnitude and direction; a scalar has magnitude only.

D

AC→=3AB→\overrightarrow{AC}=3\overrightarrow{AB}AC=3AB, so the vectors are parallel and share AAA; hence the points are collinear.

Card 1 of 22

1.13.1 Vectors in two and three dimensions Flashcards

  1. A Level
  2. /Maths
  3. /1.13.1 Vectors in two and three dimensions

22 flashcards on AQA A Level Maths 1.13.1 Vectors in two and three dimensions: the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.

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