19. Recall that the area of the parallelogram inscribed by two geometric vectors \( \mathbf{v} \) and \( \mathbf{w} \) is \( |\mathbf{v} \times \mathbf{w}| \), the magnitude of their cross product. Find the area of the parallelogram in the plane inscribed by \( \mathbf{V} \) and \( \mathbf{w} \) where \[ \mathbf{v}=3 \mathbf{i}+\mathbf{j} \quad \text { and } \quad \mathbf{w}=\mathbf{i}-2 \mathbf{j} . \] \( \sqrt{7} \) 5 7 1 \( \sqrt{5} \)
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Step 1: Identify the given vectors: \[ \mathbf{v} = 3\mathbf{i} + \mathbf{j} \] \[ \mathbf{w} = \mathbf{i} - 2\mathbf{j} \] Show moreβ¦
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