Home
Class 11
PHYSICS
The resultant of two vectors vecP andv...

The resultant of two vectors `vecP andvecQ is vecR`. If the magnitude of `vecQ` is doudled, the new resultant becomes perpendicuar to `vecP`. Then the magnitude of `vecR` is :

A

`((P^(2)-Q^(2))/(2PQ))`

B

`Q`

C

`(P)/(Q)`

D

`(P+Q)/(P-Q)`

Text Solution

Verified by Experts

The correct Answer is:
2

`tan alpha = ( 2Q sin theta) /(P+2Q cos theta) =oo rArr cos theta = (-P)/(2Q)`
`R^(2) = P^(2) + 2PQ((-P))/(2Q) rArr R = Q`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise EXERCISE-IV ASSERTION & REASON|11 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise EXERCISE-II AIPMT/NEET & AIIMS (2006- 2018)|6 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

Similar Questions

Explore conceptually related problems

The resultant of two vectors vecA and vecB" is "vecC . If the megnitude of vecB is doubled, the new resultant vector becomes perpendicular to vecA , then the magnitude of vecC is

Magnitude of resultant of two vectors vecP and vecQ is equal to magnitude of vecP . Find the angle between vecQ and resultant of vec2P and vecQ .

Resultant of two vectors of magnitude P and Q is of magnitude Q .If the magnitude of vecQ is doubled now the angle made by new resultant with vecP is

Find the resultant of two vectors vecP = 3 hati + 2hatj and vecQ = 2hati + 3 hat j

The resultant of two vectors vecP and vecQ is perpendicular to the vector vecP and its magnitude is equal to half of the magnitude of vector vecQ . Then the angle between P and Q is

The resultant of vecP and vecQ is vec R . If vecQ is doubled, vecR is doubled, when vecQ is reversed, vecR is again doubled, find P : Q : R,

The resultant of vecP and vecQ is perpendicular to vecP . What is the angle between vecP and vecQ

Two vectors vecP and vecQ are inclined to each other at angle theta . Which of the following is the unit vector perpendicular to vecP and vecQ ?

The magnitude of two vectors vecP and vecQ differ by 1 . The magnitude of their resultant makes an angle of tan^(-1)(3/4) with vecP . The angle between vecP and vecQ is