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If vec(a), vec(b),vec(c ) are any vecto...

If ` vec(a), vec(b),vec(c )` are any vectors, then which the following is equal to ` vec(a) xx vec(b) +vec(b)xx vec(c ) + vec(c ) xx vec(a) ` ?

A

`(vec(a)-vec(b))xx(vec(b)-vec(c))`

B

`(vec(c ) - vec(b)) xx (vec(a)- vec(c ))`

C

`(vec(a) - vec(b))xx (vec(a) - vec(c ))`

D

`1/2 { vec(a) xx(vec(b)-vec(c))+vec(b)xx(vec(c)-vec(a)) + vec(c )xx (vec(a)- vec(b))} `

Text Solution

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The correct Answer is:
A,B,C,D
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