Question

Find the volume of a parallelopiped whose coterminous edges are a + b = i + j – k, b + c = 2i + 3j – 4k and c + a = 3i + 4j – 7k.

Answer 1

We have,

2(a + b + c) = 6i + 8j – 12k

(a + b + c) = 3i + 4j – 6k

Thus, a = i + j – k, b = k, c = 2i + 3j – 5k

Hence, the volume of the parallelopiped

= 1 c.u.