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Two vectors of equal magnitude P are inc...

Two vectors of equal magnitude P are inclined at some angle such that the difference in magnitude of resultant and magnitude of either of the vectors is 0.732 times either of the magnitude of vectors. If the angle between them is increased by half of its initial value then find the magnitude of difference of the vectors

A

2P

B

`sqrt(2)p`

C

`3p`

D

`sqrt(3)p`

Text Solution

Verified by Experts

The correct Answer is:
B
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  • If the angle between two vectors of equal magnitude P is theta , the magnitude of the difference of the vectors is

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    `2P cos theta/2`
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    `2P sin theta/2`
    C
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  • Two forces of equal magnitude F act at a point. If the angle between them is θ, then the magnitude of the resultant force is

    A
    `F sqrt(2(l-sintheta))`
    B
    `Fsqrt(2(l+sintheta))`
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