Find the area of the parallelogram determined by the given vectors.

Question

u=6i-j+3k, v=1/2i+2j-3/2k

Answer 1

The area of the parallelogram determined by u and v = || u x v ||

u x v = < -4.5, 10.5, 12.5 >

Now find the magnitude: sqrt( (-4.5)² + (10.5)² + (12.5)² ) = 16.933 square units