Find the area of the parallelogram that has the vectors as adjacent sides.

Question

Find the area of the parallelogram that has the vectors as adjacent sides.

u = (2, 0, −3),    v = (−3, 0, 2)

Answer 1

Area A = Iu×vI = I0·i + 5j + 0·kI = 5, where u×v is cross- product of these vectors