Question

The value of $\hat i$.($\hat j$×$\hat k$)+$\hat j$.($\hat i\times\hat k$)+$\hat k$.($\hat i\times \hat j$) is

• A. 0
• B. -1
• C. 1
• D. 3

Answer 1

Answer: (C)

1

Answer 2

$\hat i$.($\hat j$×$\hat k$)+$\hat j$.($\hat i$×$\hat k$)+$\hat k$.($\hat i$×$\hat j$)
=$\hat i.\hat i$.i^+$\hat j.(-\hat j)$+$\hat k.\hat k$
=1-$\hat j.\hat j$+1
=1-1+1
=1
The correct answer is C.