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No.

Because vectors have direction as well as magnitude, you must take the direction into account when you add them.

Example:

Vector A parallel to [0,0; 0,4]

Vector B parallel to [0,0; 3,0]

These vectors are at right angles to each other Vector A has a magnitude of 4, Vector B an magnitude of 3.

A + B = has a magnitude of 5, parallel to [0,0;3,4]

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