Question

Evaluate the expression \( (i \times j) + (i \times i) \).

• A. 2
• B. 1
• C. k
• D. -k

Hint:

The cross product of two unit vectors yields a third unit vector perpendicular to the original ones.

Answer 1

The Correct Option is C

We know that \( i \times j = k \), and \( i \times i = 0 \), as the cross product of a vector with itself is zero. \[ (i \times j) + (i \times i) = k + 0 = k. \] Thus, the answer is \( k \).