If `a=3hati+hatj-4hatk,b=6hati+5hatj-2hatk,` then find the area of a triangle whose adjacent sides are determined by a and b.

Explanation

To find the area of a triangle whose adjacent sides are determined by the vectors **a** and **b**, we can use the formula:

\[ \text{Area} = \frac{1}{2} \left| \mathbf{a} \times \mathbf{b} \right| \]

where \(\mathbf{a} \times \mathbf{b}\) is the cross product of the vectors \(\mathbf{a}\) and \(\mathbf{b}\).

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