Question

Find the  area of a parallogram whose side are in the from of vector 2i -3j + k and I + 4j + 5k.

Answer 1

Area of the parallelogram is given by |a x b|  where a and b are side vectors.

As given, a = 2i -3j + k, b = I + 4j + 5k
so, area = |(2i -3j + k) x (i + 4j + 5k)|
= √{(-19)² + (-9)² + (11)²}
= √563