Mathegoras

Vectors and matrices › Vectors in the plane › Dot product

Dot product from norms and cross product

High school · ●●○○○ 20 pts

Let a\mathbf{a} and b\mathbf{b} be vectors such that ∥a∥=2,\|\mathbf{a}\| = 2, ∥b∥=5,\|\mathbf{b}\| = 5, and ∥a×b∥=8.\|\mathbf{a} \times \mathbf{b}\| = 8. Find ∣a⋅b∣.|\mathbf{a} \cdot \mathbf{b}|.

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cross productvector normangle between vectors