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if vec(a),vec(b) " and " vec(c ) are u...

if `vec(a),vec(b) " and " vec(c )` are unit vectors then
`|vec(a)-vec(b)|^(2)+|vec(b)-vecc|^(2)+|vec(c)-vec(a)|^(2)` does not exceed

A

4

B

9

C

8

D

6

Text Solution

Verified by Experts

The correct Answer is:
B
Now `(vec(a) +vec(b) + vec(c ))^(2) = Sigma vec(a)^(2) +2Sigma vec(a) ". " vec(b) le 0`
`rArr 2 Sigma vec(a)". "vec(b) ge -3`
Now `Sigma|vec(a)-vec(b)|^(2)=2Sigmavec(A)^(2)-2Sigma vec(a)". "vec(b) le 2 (3) +3 =9`
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