It is given that $A$ is the point $(3,4)$ and $B$ is the point $(-5,1)$. Find \(|\overr

Question

It is given that $A$ is the point $(3,4)$ and $B$ is the point $(-5,1)$. Find $|\overrightarrow{AB}|$. If $\overrightarrow{CD} = \frac{1}{2}\overrightarrow{AB}$ and $D$ is the point $(7,2)$, find the coordinates of the point $C$. If $\overrightarrow{XY} = \begin{pmatrix} -2 \ k \end{pmatrix}$ and $\overrightarrow{XY}$ is parallel to $\overrightarrow{AB}$, find the value of $k$.

Accepted Answer

(a) |AB| = √73 ≈ 8.54 units (3 s.f.). (b) C = (11, 7/2). (c) k = -3/4.

Algebraic Manipulation of Planar Vectors

Algebraic Manipulation of Planar Vectors

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