The vector v makes an angle of 30 degrees with the x-axis and equal angles with both the y and z axes. Determine the direction cosines for vector v and the angle that vector v makes with the z-axis.

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Let the vector V = ai + bj + ck.

The vector makes an angle of 30 degrees with the x-axis and equal angles with the y and z axes.

If a vector V = ai + bj + ck makes an angle of A with the x-axis, B with the y=axis and C with the z-axis.

The direction...

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