Physics Homework

Question

Suppose D = A - B where vector A has components A_x =5, A_Y = 2 and vector B has components B_x = -3, B_y = -5

a) What are the x- and y-components of vector D?

b) Draw a coordinate system and on it show vectors A, B, and D.

c) What are the magnitude and direction of vector D.

Answer 1

Dx = Ax-Bx = 5 - (-3) = 8

Dy = Ay-By = 2- (-5) = 7

|D|=sqrt(8^2+7^2)=sqrt(113)=10.63

direction = +x and +y at arctan(49/64)=37.4 degrees above x axis