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11 March, 00:56

What is the minimum number of angles required to determine the Cartesian components of a 3D vector and why?

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  1. 11 March, 03:34
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    Answer: 3

    Step-by-step explanation:

    The 3D vector consists of 3 axes, let's say x, y and z.

    Now, a vector P lies in all of them.

    So, the angle it makes with x axis is α

    The angle it makes with y axis is β

    The angle it makes with z axis is γ

    So, to determine the Cartesian components or to resolve the vector into it's Cartesian components we need 3 angles with each axis.
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