Chapter 1.3, Problem 33EQ

A direction vector passes through a unit cube from the (1/4, 1, 1/4) to the (1, 0, 3/4) positions. What are its direction indices?

The vector u = (4600, 4290, 5250) gives the numbers of units of three models of cellular phones manufactured. The vector v = (499.99, 199.99, 99.99) gives the prices in dollars of the three models of cellular phones, respectively. Find the dot product u ∙ v and interpret the result in the context of the problem.

Vector A is 35 m long and makes an angle of 60° clockwise from the positive Y-axis. Vector B is 55m long points along the negative X-axis. Compute the magnitude and direction of the resultant of these two vectors.