Dot Product and Work — Unit test

Question 1

Review the diagram.

Revolt · Accepted Answer

approximately 85 m

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

components:, magnitude: 0.76

Question 3

Consider vectors u = ⟨2, 1⟩ and v = ⟨4, –1⟩ with the angle between them equal to 40°. What are the scalar projections uv and vu?

Revolt · Accepted Answer

uv = 1.71 and vu = 3.16

Question 4

Review the diagram.

Revolt · Accepted Answer

(272, 127)

Question 5

Review the graph.

Revolt · Accepted Answer

magnitude of 8 and direction angle equal to 0°

Dot Product and Work — Unit test Answers

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