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A unit vector of modulus 2 is equally...

A unit vector of modulus 2 is equally inclined to `x` - and `y` -axes angle at an angle `pi//3` . Find the length of projection of the vector on the `z` -axis.

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To solve the problem step by step, we will follow the reasoning laid out in the video transcript. ### Step 1: Understand the given information We are given a unit vector of modulus 2 that is equally inclined to the x-axis and y-axis at an angle of \( \frac{\pi}{3} \). ### Step 2: Determine the angles with respect to the axes Since the vector is equally inclined to the x-axis and y-axis, we can denote the angles with respect to the x-axis and y-axis as \( \alpha \) and \( \beta \) respectively. ...
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