Question

Find the area of the parallelogram whose diagonal are represented by the vectors d₁ = 2 i - j+k and d₂ = 3 i+4 j - k

Answer 1

The diagonals are

The area of the parallelogram = vectors |a x b|, where a and b are vectors of it’s adjacent sides.

Thus, substituting the values of a₁, a₂, a₃ and b₁, b₂ and b₃, in equation (i) we get