Vectors and Navigation

Given the vector p, where p = <5, –3>, which of the following pairs of points could be the starting and ending points respectively?

• (1, –4) & (6, –1)

• (6, –4) & (1, –1) 

• (1, –1) & (6, –4)

• (6, –1) & (1, –4)

Use the figure to identify the graph of the result of the specified vector operation:  p – s

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If t = <4, –2> and v = <1, –3>, find 2v – ½t

• <7.5, –2.5>

• <0, –5>

• <7.5, –5.5>

• <0, ⁻7>

If t = <4, –3> and v = <1, –3>, find:

• <7/5 , -12/5>

• <13/5 , -12/5>

• <1 , -6/5>

• <7 , -12>

Given the starting point (3, -2) and ending point (-4, 3), find the magnitude of the vector.

• 8.60

• 74.00

• 1.41

• 2.00

 Express vector PM in terms of vector x and vector y.

• Vector x + y

• Vector x - y

• Vector -x - y

 Express vector NP in terms of vector x and vector y.

• Vector x

• Vector y

• Vector -x

• Vector -y

 Express vector LN in terms of vector x and vector y.

• Vector x + y

• Vector x - y

• Vector -x - y

• Vector -x + y

 Express vector LQ in terms of vector x and vector y.

Jill is pushing a box.  The vector u, where u = <4, − 14>, models her movement.  Which of the following pairs of points could be her starting and ending points respectively?

• (-1, 6) and (-3, 20)

• (6, -1) and (20, 3)

• (-1, 6) and (3, -8)

• (6, -1) and (-8, 3)