The sum of two vectors 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

When the two vectors are in the same direction (angle between them is 0°), their magnitudes add up to give the greatest possible magnitude for the sum of the vectors. For any other angle, the magnitude of the sum would be less than the case when the angle is 0°.

The Sum of Two Vectors Has the Greatest Magnitude When