Home
Class 11
PHYSICS
If |vecA + vecB| = |vecA - vecB|, then t...

If `|vecA + vecB| = |vecA - vecB|`, then the angle between `vecA and vecB` will be

A

`90^(@)`

B

`60^(@)`

C

`75^(@)`

D

`45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
1
`|vecA+ vecB|^(2) = |vecA- vecB|^(2)`
`rArr A^(2) + B^(2) + 2AB cos theta = A^(2) + B^(2) - 2AB cos theta `
`rArr cos theta = 0 rArr theta = 90^(@)`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise EXERCISE-III CHECK YOUR UNDERSTANDING|15 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

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

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise CROSS PRODUCT|15 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

Similar Questions

Explore conceptually related problems

If |vecA xx vecB| = |vecA*vecB| , then the angle between vecA and vecB will be :

If |vecA xx vecB| = vecA.vecB then the angle between vecA and vecB is :

If |vecA+vecB|=|vecA|+|vecB| , then angle between vecA and vecB will be

If veca * vecb = |veca xx vecb| , then this angle between veca and vecb is,

If |veca - vecb|=|veca| =|vecb|=1 , then the angle between veca and vecb , is

If veca . vecb =ab then the angle between veca and vecb is

If vecA+ vecB = vecC and A+B+C=0 , then the angle between vecA and vecB is :

If vecA+ vecB = vecC and A+B+C=0 , then the angle between vecA and vecB is :

If | veca + vecb|=| veca - vecb| , then what is the angle between veca and vecb ?

If |veca+ vecb| lt | veca- vecb| , then the angle between veca and vecb can lie in the interval