Dot Product and Work — Unit test Answers
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A force of 10 newtons acts in a direction 75° above horizontal, moving an object 15 meters from (0, 0) to (15, 0). What is the work done by the force?
A
2.59 joulesB
3.88 joulesC
38.82 joulesD
150.00 joules22
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Let u = 2i + 3j, v = –i, and w = 5i – 6j. What is the magnitude of 2(u – v + w)?
A
10.0B
13.4C
17.1D
21.623
Review the graph.
A
magnitude of 8 and direction angle equal to 0°B
magnitude of 8 and direction angle equal to 180°C
magnitude of and direction angle equal to 0°
D
magnitude of and direction angle equal to 180°24
Which pair of vectors is orthogonal?
A
u = ⟨–3, 2⟩ and v = ⟨–2, 1⟩B
u = ⟨1, 5⟩ and v = ⟨–5, 1⟩C
u = ⟨2, 1⟩ and v = ⟨–4, 3⟩D
u = ⟨2, 3⟩ and v = ⟨3, 1⟩25
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?
A
uv = 1.33 and vu = 1.33B
uv = 1.33 and vu = 3.16C
uv = 1.71 and vu = 1.33D
uv = 1.71 and vu = 3.16Did you find these answers helpful?
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