A vector "A" i s20 units long at an angle of 15 degrees above the horizontal(x-axis) and a vector "B" is 40 units long at an angle of 60 degrees above the horizontal(x-axis). What is the magnitude and direction of the resultant vector?
Resolve each vector into its x- and y-components. Sum each component, which becomes the components of the resultant vecotr. The magnitude can be obtained using
|A|=sqrt(Ax²+Ay²)
and the angle with the x-axis can be found using arctan(Ay/Ax). Determine the quadrant by examination of the sign of each component.