Question

the diagonal of a llgm are given by the vectors 3i^+j^+2k^ and i^_3j^+4k^ find area of llgm

Answer 1

Let ABCD be a ||gm where AC and BD be its diagonal.
AC=3i^+j^+2k^
BD=i^-3j^+4k^
We know,
Area of ||gm=product of diagonals
=(3i^+j^+2k^)(i^-3j^+4k^)
=(3-3+8)
=8square unit.