Vectors and Their Components Answers

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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.?

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

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

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

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

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

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