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What is the angle between two vector for...

What is the angle between two vector forces of equal magnitude such that their resultant is one-third of either of the original forces?

A

`cos^(-1)(-17/18)`

B

`cos^(-1)(-1/3)`

C

`45^(@)`

D

`120^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(1/3)^(2)=1^(2)+1^(2)+2xx1xx1 cos theta`
or `1/9=2(1+cos theta)` or `1+cos theta=1/18`
or `cos theta=1/8-1=-17/18` or `theta=cos^(-1)(-17/18)`
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