The area of a parallelogram formed from the vectors A→=i^−2j^+3k^  and B→=3i^−2j^+k^  as adjacent sides is

A→=i^−2j^+3k^  and B→=3i^−2j^+k^   Area of parallelogram =|A→×B→| Now, A→×B→=|i^j^k^1−233−21|=4i^+8j^+4k^ |A→×B→|=42+82+42=96=46 units .