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Solve the following.
If and are perpendicular vectors, and , find the value of .
If $\vec{a}$ and $\vec{b}$ are perpendicular vectors, $|\vec{a} + \vec{b}| = 13$ and $|\vec{a}| = 5$, find the value of $|\vec{b}|$.
Answer
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From ISC 2019 Mathematics Paper 1, question 15(a).
Check your working with the 3D geometry and vectors calculator: points, vectors, lines and planes: distances, angles, foot and image, shortest distance, intersections.