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If vec(a)=(2,1,-1), vec(b)=(1,-1,0), vec...

If `vec(a)=(2,1,-1), vec(b)=(1,-1,0), vec(c)=(5, -1,1)`, then what is the unit vector parallel to `vec(a)+vec(b)-vec(c)` in the opposite direction ?

A

`(1)/(2) (2hat(i)-hat(j)+2hat(k))`

B

`(1)/(3) (2hat(i)-hat(j)+2hat(k))`

C

`(1)/(3) (2hat(i)+hat(j)-2hat(k))`

D

`(1)/(2) (-2hat(i)-hat(j)+hat(k))`

Text Solution

Verified by Experts

The correct Answer is:
B
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