Question

Find the area of the parallelogram whose diagonals are represented by the vectors
(i)`vec(d)_(1)= 3 hat(i) + hat(j) - 2 hat(k)` and `vec(d)_(2) = hat(i) - 3 hat(j) +4 hat(k)`
(ii) `vec(d)_(1)= 2 hat(i) - hat(j) + hat(k)` and `vec(d)_(2)= 3 hat(i) + 4 hat(j)-hat(k)`
(iii) `vec(d)_(1)= hat(i)- 3 hat(j) + 2 hat(k)` and `vec(d)_(2)= -hat(i)+2 hat(j).`

Answer 1

Correct Answer - (i) `5 sqrt(3)` sq units (ii) `1/2 sqrt(155)` sq units (iii)`1/2sqrt(21)` sq units
Area of a ||gm`=1/2|vec(d)_(1) xxvec(d)_(2)|.`