Final answer:
The value of u is found by setting up the equation |7u| = 1 and solving for u, which gives u = 1/7 or u = -1/7.
Step-by-step explanation:
The student has asked for the value of u given that M = (7u) and the magnitude of M, denoted |M|, is 1. To solve for u, we must recognize that |M| refers the magnitude (or length) of the vector M. Since we know that M = (7u), we can equate this to the magnitude given, 1.
To find the value of u, we'll set up the equation |7u| = 1. The absolute value symbol is significant because it indicates that u can be positive or negative but the magnitude will always be positive. Solving this equation gives us u = 1/7 or u = -1/7.