Three cables AB, AC, and AD are supporting a 70-m tall tower. The magnitude of force in each cable is 2 kN. Find the total force the cables exert on the tower (magnitude and direction angle).

Explanation:

The coordinates of points are:

A (0, 70, 0), B (40, 0, 0), C (40, 0, 40) D (60, 0, 60).

The position vectors for corresponding cables are:

the unit vectors for these positions are:

The factors are:

so The resultant force exerted on tower by cables are:

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explanation: