Given u = i - 2j + k and v = 3i + j - 2k, find each of the following:(a) u x v, (b) v x u, and (c) v x v.
A) (a) 3i + 5j + 7k, (b) -3i - 5j - 7k, (c) 0
B) (a) 3i - 5j + 7k, (b) -3i + 5j - 7k, (c) -4i +12j
C) (a) 3i + 5j - 5k, (b) -3i - 5j + 5k, (c) 12j
D) (a) 3i - 5j - 5k, (b) -3i + 5j + 5k, (c) -4 i + 6k
E) (a) 3i + 5j + 7k, (b) -3i - 5j - 5k, (c) 0

Question

Quizplus · Accepted Answer

The cross product of two vectors results in a vector that is perpendicular to both original vectors. (a) and (b) are each other's negatives because reversing the order of a cross product negates the result. (c) The cross product of a vector with itself is always 0 because there is no vector perpendicular to a vector and itself.

Given U = I - 2j + K and V