# Find the Volume of a Parallelopiped Whose Edges Are Represented by the Vectors: Vec A = 2 Hat I - 3 Hat J - 4 Hat K, Vec B = Hat I + 2 Hat J - Hat K and Vec C = 2 Hat I + Hat J + 2 Hatk - Mathematics

Find the volume of a parallelopiped whose edges are represented by the vectors:

vec a = 2 hat i - 3 hat j - 4 hat k, vec b  = hat i + 2 hat j - hat k and vec c = 3 hat i +  hat j +  2 hatk

#### Solution

Volume of parallelopiped = [vec avec b vec c]

= |(2,-3,-4),(1,2,-1),(3,1,2)|

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

= 10 + 15 + 20

= 45 cubic units

Concept: Scalar Triple Product of Vectors
Is there an error in this question or solution?