Vectors and Their Components Answers

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

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A vector in standard position has its terminal point at (–10, –4). What is the approximate direction angle of the vector?

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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?

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

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

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

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