Home
Class 12
MATHS
If |veca+ vecb| lt | veca- vecb|, then t...

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

A

`(pi//2,pi//2)`

B

`(0,pi)`

C

`(pi//2,3pi//2)`

D

`(0,2pi)`

Text Solution

Verified by Experts

The correct Answer is:
C

`|a+b| lt |a-b|`
`implies (pi)/(2) lt theta lt (3pi)/(2)`.
Promotional Banner

Similar Questions

Explore conceptually related problems

If 2veca*vecb = |veca| * |vecb| then the angle between veca & vecb is

If vecA.vecB=|vecAxxvecB| then fibnd the angle between vecA and vecB

If |veca| = |vecb| = |veca + vecb| = 1 , then the value of |veca - vecb| is equal to

If veca and vecb are unit vectors and theta is the angle between veca and vecb , then sin.(theta)/(2) is

Suppose veca + vecb + vecc = 0, |veca| = 3, |vecb| = 5, |vecc| = 7 , then the angle between veca & vecb is

(veca + vecb) xx (veca - vecb) is :

If veca and vec b are unit vectors, then what is the angle between veca and vecb for sqrt3 veva - vecb to be a unit vectors ?

The non-zero vectors veca, vecb and vecc are related by veca = 8 vecb and vecc=-7 vecb. Then the angle between veca and vecc is :

Let veca, vecb, and vecc be three non-zero vectors such that no two of them are colinear and (veca xx vecb) xx vecc=1/3 |vecb||vecc|veca. If theta is the angle between the vectors vecb and vecc, then a value of sin theta is :