Home
Class 12
MATHS
A class XII student appearing for a comp...

A class XII student appearing for a competitive examination was asked to attempt the following questions.
Let `vec(a),vec(b)` and `vec( c)` be theree non zero vectors.
If `vec(a)` and `vec(b)` are such that `|vec(a)+vec(b)|=|vec(a)-vec(b)|` then

A

`vec(a)botvec(b)`

B

`vec(a)||vec(b)`

C

`vec(a)=vec(b)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let vec(a) and vec(b) be two nonzero vector. Prove that vec(a) bot vec(b) hArr |vec(a)+vec(b)|=|vec(a)-vec(b)| .

Show that |vec(a)|vec(b)-|vec(b)|vec(a) , for any two non - zero vectors vec(a) and vec(b) .

If vec a,vec b and vec c are three non-zero vectors,prove that [vec a+vec b,vec b+vec c,vec c+vec a]=2[vec a,vec b,vec c]

Let vec a, vec b, vec c be three non-zero vectors such that [vec with bvec c] = | vec a || vec b || vec c | then

For non-zero vectors vec a and vec b if |vec a+vec b|<|vec a-vec b|, then vec a and vec b are

For three non-zero vectors vec(a),\vec(b) " and"vec(c ) , prove that [(vec(a)-vec(b))\ \ (vec(b)-vec(c))\ \ (vec(c )-vec(a))]=0