The correct options are
A Another side of parallelogram may be −^i+2^j+3^k
C Area of parallelogram is 8√3 unit
Another side is →b.
Depending on whether →d1 is the larger or the smaller diagonal, there are two possibilities.
→a+→b=→d1 or →a−→b=→d1
→b=→d1−→a or →b=−(→d1−→a)
→b=−^i+2^j+3^k or →b=^i−2^j−3^k
→a−→b=→d2⇒→d2=4^i−4^k
Area=→a×→b=∣∣
∣
∣∣^i^j^k32−1−123∣∣
∣
∣∣=8^i−8^j+8^k
⇒|Area|=√82+82+82=8√3