Two equal-size vectors at right angles to each other have a resultant that is
A)equal to that of either vector.
B)√2 the length of either vector.
C)twice the length of either vector.

Question

Quizplus · Accepted Answer

When two equal-size vectors are at right angles to each other, the magnitude of their resultant is given by the Pythagorean theorem as the square root of the sum of the squares of the individual magnitudes. So, if the length of each vector is "a," then the length of their resultant is sqrt(2a^2), which is equal to option B, namely "√2 the length of either vector."

Two Equal-Size Vectors at Right Angles to Each Other Have