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Let three vectors vec(a), vec(b) and ve...

Let three vectors `vec(a), vec(b)` and `vec(c )` be such that `vec(a) xx vec(b) = vec(c), vec(b) xx vec(c) = vec(a)` and `|vec(a)| = 2`. Then which one of the following is not true ?

A

`[vec(a) vec(b) vec(c)]+ [vec(c) vec(a) vec(b)]=8`

B

Projection of `vec(a)` on `(vec(b) xx vec(c))`is 2

C

`|3 vec(a)+ vec(b)-2 vec(c)|^(2)=51`

D

`vec(a) xx ((vec(b) + vec(c)) xx (vec(b)-vec(c)))= vec(0)`

Text Solution

Verified by Experts

The correct Answer is:
C
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