Question

Find the volume of the parallelepiped whose coterminous edges are represented by the vectors:  a = 2i - 3j + 4k, b = i + 2j - k, c = 3i - j - 2k

Answer 1

Given: -

we know that the volume of parallelepiped whose three adjacent edges are

We have

= 2( – 4 – 1) – 3( – 2 + 3) + 4( – 1 – 6)

= – 35

therefore, the volume of the parallelepiped is \([\vec a,\,\vec b,\vec c]=|35|\) = 35 cubic unit.