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If overline(a)=hat(i)-hat(j), overline(b...

If `overline(a)=hat(i)-hat(j), overline(b)=hat(j)-hat(k), overline(c)=hat(k)-hat(i) and hat(d)` is a units vectors such that `overline(a)*hat(d)=[[overline(b), overline(c), overline(d)]]=0`, then `hat(d)=`

A

`pm (i+j-k)/(sqrt3)`

B

`pm (i+j+k)/(sqrt3)`

C

`pm (i+j-2k)/(sqrt6)`

D

`pm k`

Text Solution

Verified by Experts

The correct Answer is:
C
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