Question

Determine a unit vector.
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Answer 1

Explanation:

C = A x B = ( 2i + j + k ) x ( i - j + 2k)

= - 2k - 4j -k + 2i +j +I

= 3i -3j - 3k

C is a vector perpendicular to A and B.

C = c n

n = C/c = (3i -3j -3k) /√ ( 9 +9 +9)

= 3 (i - j -k) / √(27)

= i - j - k