Chapter 3 - Vectors in Physics - Problems and Conceptual Exercises - Page 78: 29

(a) $23m$ (b) $23m$

(a) We know that $\vec A=(-6.1m)\hat x$ $\implies -3.7\vec A=[-3.7(-6.1)]\hat x=(23m)\hat x$ Thus the x component is: $A_x=23m$ (b) As we have only one component of the given vector, the magnitude of the vector is also 23m.