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Let vec(a)= hat(i) +hat(j)+2hat(k) and v...

Let `vec(a)= hat(i) +hat(j)+2hat(k) and vec(b)= -hat(i) +2hat(j) +3hat(k)`. Then the vector product `(vec(a) +vec(b)) xx ((vec(a) xx ((vec(a)-vec(b)) xx vec(b))) xx vec(b))` is equal to

A

`5(34hat(i)-5hat(j)+3hat(k))`

B

`7(34hat(i)-5hat(j)+3hat(k))`

C

`7(30hat(i)-5hat(j)+7hat(k))`

D

`5(30hat(i) -5hat(j)+7hat(k))`

Text Solution

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The correct Answer is:
B
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