Compute the dot product of the following pairs of vectors:

A = ( 6 , 0 ) B = ( 3 , ) C = ( -4 , 2 ) D = ( 2 , 4 ) E = ( -5, -5 ) F = ( 1 , ) G = ( 3, 4 ) H = 5 units at -30 degrees I = 6 m at 120 degrees J = 3 m at 70 degrees K = m at -45 degrees L = 5 m at 10 degrees

What is the angle between each of these pairs of vectors?

M = ( 0 , 6 ) N = ( 0 , 10 ) P = ( 0 , 6 ) Q = ( 10 , 0 ) R = ( 2 , ) S = ( -3 , 7 )

Joe (mass **m = 38 kg**) slides down a hill on his sled.
"Wheeeee!" exclaims Joe, as he shoots **20 meters ** down the
slope, which has an angle of **35 degrees** below the horizontal.

- What is the force of gravity on Joe? Express as a vector.
- What is Joe's displacement? Express as a vector.
- What is the dot product of Joe's displacement and the force of gravity on Joe? Don't forget the units.

Copyright © Michael Richmond. This work is licensed under a Creative Commons License.