A pair of equal-length vectors at right angles to each other have a resultant. If the angle between the vectors is greater than 90°, their resultant is
A)less.
B)the same.
C)greater.

Question

Quizplus · Accepted Answer

When two equal-length vectors are perpendicular to each other, their resultant is their hypotenuse and has a magnitude equal to the square root of the sum of their squares. If the angle between the vectors is greater than 90°, the result will be less than the magnitude of the hypotenuse because the vectors are now working partially against each other instead of fully complementing each other.

A Pair of Equal-Length Vectors at Right Angles to Each