Scalar Multiplication

[Calc12]

Use the diagram to express each of the given vectors in terms of OP and OQ.

a) OR
b) OU
c) OW
d) OS
e) OA
f) OY

Please any help on how to begin this is really appreciated.
Thanks in advance

 

[soroban]

Hello, Calc12!

If you know nothing about vector addition,
. . you should not have been assigned this problem.

$\displaystyle \text{Use the diagram to express each of the given vectors in terms of }\overrightarrow{OP}\text{ and }\overrightarrow{OQ}.$

. . $\displaystyle (a)\;\overrightarrow{OR} \qquad (b)\;\overrightarrow{OU}\qquad (c)\;\overrightarrow{OW} \qquad (d)\;\overrightarrow{OS} \qquad (e)\;\overrightarrow{OA} \qquad (f)\;\overrightarrow{OY}$

$\displaystyle (a)\;\;\overrightarrow{OR} \;=\; \overrightarrow{OP} + \tfrac{1}{2}\!\cdot\!\overrightarrow{OQ}$

$\displaystyle (b)\;\;\overrightarrow{OU} \;=\;\overrightarrow{OP} + 2\!\cdot\!\overrightarrow{OQ}$

$\displaystyle (c)\;\;\overrightarrow{OW} \;=\;2\!\cdot\!\overrightarrow{OP} + \tfrac{3}{2}\!\cdot\!\overrightarrow{OQ}$


Get the idea?

 

[Calc12]

THANK YOU !

I am currently taking Calc through corrospondance, just trying to get a hang of it.