# Chapter 3 - Kinematics in Two Dimensions; Vectors - Problems: 11

A-C = (38.85 units, 51.66 units) R = 64.64; 53.06$^o$

#### Work Step by Step

Use equations 3.3a and 3.3b to find the x and y components. Vector C points at 270 degrees from the positive x-axis. Vector A = (38.85, 20.66) Vector C = (0, -31) Take the difference by subtracting corresponding components. A-C = (38.85 units, 51.66 units) $R = \sqrt {(38.85)^2+(51.66)^2} = 64.64$ $\theta=tan^{-1}(\frac{51.66}{38.85}) = 53.06^o$

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