Question

Calculate the volume of a parallelopiped whose vertices are given by (0,0,0),
(2,1,3),(3,2,4) and (4,2,1).

Answer 1

Explanation:

The volume of a parallelepiped determined by the vectors a, b ,c (where a, b and c share the same initial point) is the magnitude of their scalar triple product:

Take four points as P=(0,1,0),Q=(2,2,2),R=(0,3,0),S=(3,1,2) and find

PQ=a=⟨2−0,2−1,2−0⟩=⟨2,1,2⟩

PR=b=⟨0−0,3−1,0−0⟩=⟨0,2,0⟩

PS=c=⟨3−0,1−1,2−0⟩=⟨3,0,2⟩

Then find |a⋅(b×c)|

plzz mark me brainlist