Vectors a and b satisfy a b = 17 and a b = pmatrix 2 -1 5 pmatrix

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Vectors a and b satisfy a⋅b=17 and a×b=(2−15).\mathbf{a} \cdot \mathbf{b} = 17 \text{ and } \mathbf{a} \times \mathbf{b} = \begin{pmatrix} 2 \\ -1 \\ 5 \end{pmatrix}. Find, in degrees, the size of the angle between the two vectors.

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