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What is the angle between vec(P) and the...

What is the angle between `vec(P)` and the resultant of `(vec(P)+vec(Q))` and `(vec(P)-vec(Q))` ?

A

zero

B

`tan^(-1)(P//Q)`

C

`tan^(-1)(Q//P)`

D

`tan^(-1)(P-Q)//(P+Q)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Resultant of `(P+Q) and (P-Q) is P+Q+P-Q or 2P` which is parallel to P.
So, angle between P and 2P will be zero.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SCALARS AND VECTORS -Exercise 2 (Miscellaneous Problems)
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  8. If A and B are two non- zero vectors having equal magnitude, then angl...

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  16. The resultant R of vector P andQ is perpendicular to P and R=P both ,...

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  17. The value of hat(i)xx(hat(i)xxa)+hat(j)xx(hat(j)xxa)+hat(k)xx(hat(k)xx...

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