Vectors and Their Components Answers

Review the graph.

A ramp is 50 feet long and has a 6° incline. A second ramp is 30 feet long and runs parallel to the first ramp. To determine the vector representing the shorter ramp, what scalar must be multiplied to the vector representing the first ramp?

Let v be a vector with initial point (–5, –11) and terminal point (6, 2). What is ?

Review the graph.

Let v = . What is the approximate direction angle of v?

A hurricane was detected in the Atlantic around 5 a.m. The National Weather Service determined that it will make landfall at a location described by a vector with components . Around 6 a.m. on the same path, the hurricane is the total distance from where it was detected initially to where it will make landfall.If the hurricane is traveling on a straight path, what are the characteristics of the vector representing the path of the hurricane at 6 a.m.?

Let u = where X(–4, 6) and Y(8, 3). What is ?

Let v =. What is the approximate direction angle of v?

A family wishes to determine the distance from their home to the nearest park. On a coordinate grid, the house sits at (0, 0), and the park at (16, 11).Using 1 unit = 10 yards, which vector represents the path from the house to the park, and what is the actual distance between them?

Review the graph.