Vectors in 2 Dimensions (AQA A-Level Mathematics): Quizzes

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Position Vectors
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What does a position vector represent?

Position of a point relative to origin

If point PP is at (5,7)(5, 7), what is the position vector OP\mathbf{OP}?

(57)\begin{pmatrix} 5 \\ 7 \end{pmatrix}

What is the position vector for point Q(3,−2,6)Q(3, -2, 6) in 3D?

(3−26)\begin{pmatrix} 3 \\ -2 \\ 6 \end{pmatrix}

If a\mathbf{a} and b\mathbf{b} are position vectors of AA and BB, what is AB\mathbf{AB}?

b−a\mathbf{b} - \mathbf{a}

What is the magnitude of r=(34)\mathbf{r} = \begin{pmatrix} 3 \\ 4 \end{pmatrix}?

55

What is ∣r∣|\mathbf{r}| for r=(221)\mathbf{r} = \begin{pmatrix} 2 \\ 2 \\ 1 \end{pmatrix}?

33

How is the direction of a position vector found?

Divide by its magnitude

When are three position vectors (points) collinear?

When they lie on the same straight line

If BC→=8×AB→\overrightarrow{BC} = 8 \times \overrightarrow{AB}, are AA, BB, CC collinear?

Yes, they are parallel and share BB

What does the change in position vector over time give?

Velocity vector

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