Vectors and Their Components

Question 1

Review the graph.

Revolt · Accepted Answer

D: StartRoot 13 EndRoot

Question 2

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.?

Revolt · Accepted Answer

A: components:, magnitude: 0.76

Question 3

Review the graph.

Revolt · Accepted Answer

A: magnitude of 8 and direction angle equal to 0°

Question 4

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

Revolt · Accepted Answer

A: 6 StartRoot 17 EndRoot

Question 5

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

Revolt · Accepted Answer

D: 202°

Question 6

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

Revolt · Accepted Answer

B: StartRoot 290 EndRoot

Question 7

Review the graph.

Revolt · Accepted Answer

C: 207°

Question 8

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

Revolt · Accepted Answer

B: LeftAngleBracket negative 16, 14 RightAngleBracket

Question 9

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

Revolt · Accepted Answer

C: 124°

Question 10

Review the graph.

Revolt · Accepted Answer

C: LeftAngleBracket negative 7, 2 RightAngleBracket and StartRoot 53 EndRoot

Vectors and Their Components Answers

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