Vector Addition and Subtraction Answers
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Vector u has initial point at (6, 8) and terminal point at (3, –2). Vector v has initial point at (–4, –3) and terminal point at (1, –7).What is u – v in component form?
A
⟨-8, -6⟩B
⟨-2, -6⟩C
⟨8, 6⟩D
⟨12, 16⟩2
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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
21.63
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).
4
Let u = ⟨–2, –3⟩ and v = ⟨3, –1⟩. Which graph shows u – v?
A
On a coordinate plane, vector v has origin (0, 0) and terminal point (3, negative 1), vector u has origin (0, 0) and terminal point (negative 2, negative 3), and vector u minus v has origin (0, 0) and terminal point (negative 5, negative 2).
B
On a coordinate plane, vector v has origin (0, 0) and terminal point (3, negative 1), vector u has origin (0, 0) and terminal point (negative 2, negative 3), and vector u minus v has origin (0, 0) and terminal point (negative 1, 4).
C
On a coordinate plane, vector v has origin (0, 0) and terminal point (3, negative 1), vector u has origin (0, 0) and terminal point (negative 2, negative 3), and vector u minus v has origin (0, 0) and terminal point (5, 2).
D
On a coordinate plane, vector v has origin (0, 0) and terminal point (3, negative 1), vector u has origin (0, 0) and terminal point (negative 2, negative 3), and vector u minus v has origin (0, 0) and terminal point (1, negative 4).
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