Mathegoras

Geometry › Quadrilaterals › Area of a parallelogram

Area of parallelogram from its diagonals

High school · ●●○○○ 20 pts

Let p\mathbf{p} and q\mathbf{q} be two three-dimensional unit vectors such that the angle between them is 30∘.30^\circ. Find the area of the parallelogram whose diagonals correspond to p+2q\mathbf{p} + 2 \mathbf{q} and 2p+q.2 \mathbf{p} + \mathbf{q}. Give your answer as a decimal.

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