Question

vector A is added to vector B, which has a magnitude of 5.0, the vector representing their sum is perpendicular to A and has a magnitude that is twice that of A. What is the magnitude of A?

Answer 1

Below

Step-by-step explanation:

5 will be the hypotenuse of a right triangle with A and 2A as legs

pythagorean theorem

5^2 = A^2 + (2A)^2

25 = 5A^2

A^2 = 5

A = sqrt 5