The sum of two vectors of fixed magnitudes has the greatest magnitude when the angle between these two vectors is
A)90°.
B)180°.
C)60°.
D)0°.
E)270°.

Question

Quizplus · Accepted Answer

The magnitude of the sum of two vectors is greatest when they are in the same direction, which means the angle between them is 0°. This is because the magnitude of the resulting vector is equal to the sum of the magnitudes of the two original vectors, and the sum is greatest when the two vectors are aligned. Any other angle would result in a smaller magnitude for the sum.

The Sum of Two Vectors of Fixed Magnitudes Has the Greatest