Conic Sections Answers
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Let r = ⟨7, 1⟩, s = ⟨–6, 2⟩, and t = ⟨–9, –3⟩. What is 10r + s – t?
A
⟨55, 9⟩B
⟨55, 15⟩C
⟨73, 6⟩D
⟨73, 15⟩22
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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 joules23
Given vectors u = ⟨2, –3⟩ and v = ⟨1, –1⟩, what is the measure of the angle between the vectors?
A
11.3°B
78.9°C
92.2°D
101.3°24
Which graph shows u + v for the given vectors u and v?
A
On a coordinate plane, vector u has origin (0, 0) and terminal point (1, 4), vector u + v has origin (0, 0) and terminal point (3, 2), vector v has origin (0, 0) and terminal point (2, negative 2).
B
On a coordinate plane, vector u has origin (0, 0) and terminal point (1, 4), vector u + v has origin (0, 0) and terminal point (3, 6), vector v has origin (0, 0) and terminal point (2, negative 2).
C
On a coordinate plane, vector u has origin (0, 0) and terminal point (1, 4), vector u + v has origin (0, 0) and terminal point (negative 1, 6), vector v has origin (0, 0) and terminal point (2, negative 2).
D
On a coordinate plane, vector u has origin (0, 0) and terminal point (1, 4), vector u + v has origin (0, 0) and terminal point (1, negative 6), vector v has origin (0, 0) and terminal point (2, negative 2).
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