Vectors and Their Components Answers

Review the graph.

Review the graph.

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

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.?

Consider the points Q(23, 48) and R(7, 62). What is the component form of ?

Review the graph.

Review the graph.

Review the graph.

Let p = where F(0, 5) and G(–4, –3). What is the direction angle of ?

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?