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(vec(a) + vec(b)) xx (vec(a)-vec(b)) + (...

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

A

`2(vec(a) xx vec(b) +vec(b) xx vec(c ) + vec(c ) xx vec(a))`

B

`-2 (vec(a) xx vec(b) + vec(b) xx vec(c ) + vec(c ) xx vec(a))`

C

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

D

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

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • (vec(a) xx vec(b), vec(b) xx vec(a)) =

    A
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    B
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    C
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    D
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    B
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    C
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    D
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