Question

If the vectors 3i + 5k, 4i + 2j - 3k and 3i + j + 4k are to co-terminus edges of the parallelo piped, then find the volume of the parallelopiped.

Answer 1

Vectors a = 3i + 5k, b = 4i + 2j - 3k, c = 3i + j + 4k

= 3(8 + 3) – 0(16 + 9) + 5(4 – 6) 

= 33 – 0 – 10 = 23 

∴ volume of the parallelopiped = \([\overline{a}\, \overline{b}\,\overline{c}]\)

= 23 cubic units.