Two vectors a and b have the components, in meters, ax = +3.2, ay = +1.6, bx = +0.5, by = +4.5. Answer the following: (a) What is the magnitude of the sum of a and b ? (b) Find the angle between the directions of a and b. (c) Imagine now another vector c in the plane where vectors a and b are already present. Vector c has a magnitude of 5 m and is perpendicular to a and pointing northwest. What are the x and y components of c.

Two vectors a and b have the components, in meters, ax = +3.2, ay = +1.6, bx = +0.5, by = +4.5. Answer the following: (a) What is the magnitude of the sum of a and b ? (b) Find the angle between the directions of a and b. (c) Imagine now another vector c in the plane where vectors a and b are already present. Vector c has a magnitude of 5 m and is perpendicular to a and pointing northwest. What are the x and y components of c.