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Question

Question: If \(\mathbf{i},\mathbf{j},\mathbf{k}\) are the unit vectors and mutually perpendicular, then \(\lbr...

If i,j,k\mathbf{i},\mathbf{j},\mathbf{k} are the unit vectors and mutually perpendicular, then [ikj]\lbrack\mathbf{ikj}\rbrack is equal to

A

0

B

– 1

C

1

D

None of these

Answer

– 1

Explanation

Solution

ikj=i.(k×j)=i.(i)=1.|\mathbf{ikj}| = \mathbf{i}.(\mathbf{k} \times \mathbf{j}) = \mathbf{i}.( - \mathbf{i}) = - 1.