Question

really confused about b, how to get the position of w. Hope someone could help me.
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Answer 1

Answer + Step-by-step explanation:

(a)

$\overrightarrow{PQ} =a+\frac{3}{5} b$

(b)

we are given:

$\left\vert \overrightarrow{RQ} \right\vert =\frac{3}{5} \left\vert \overrightarrow{OP} \right\vert$

Then

$\left\vert \overrightarrow{WR} \right\vert =\frac{3}{5} \left\vert \overrightarrow{WO} \right\vert$

and we know that :

$\overrightarrow{OW} = \overrightarrow{OR} + \overrightarrow{RW}$

Then

$\overrightarrow{OW} = a +\frac{3}{5} \overrightarrow{OW}$

Then

$\frac{2}{5} \overrightarrow{OW} = a$

Then

$\overrightarrow{OW} = \frac{5}{2} a$