Find the area of a parallelogram ABCD whose side AB and the diagonal AC are given by the vectors 3i + j + 4k

Question

Find the area of a parallelogram ABCD whose side AB and the diagonal AC are given by the vectors \(3\hat{i}+\hat{j}+4\hat{k}\) and \(4\hat{i}+5\hat{k}\) respectively.

Answer 1

\(\therefore\) Area of parallelogram \(\bigg|\vec{AB} \times \vec{AD} \bigg|\)