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Ax = 2.5

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What is the x component of A? ?

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Ay = 3

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What is the y component of A? ?

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By = -3

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What is the y component of B? ?

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Cx = -2

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What is the x component of C? ?

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Bx, By = 2,-3

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In ordered pair notation, write down the components of vector B? .

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Dx, Dy = 2,-3

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In ordered pair notation, write down the components of vector D? .

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-They are the same vectors

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What is true about B? and D? ? Choose from the pulldown list below.
-They are the same vectors
-They have different components and are not the same vectors
-They have the same components but are not the same vectors.

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A+C> A+B =A+D > D =F+C >A+E

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Rank the vector combinations on the basis of their magnitude.
A+C, A+B, A+D, A+E, F+C, D

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A+B>F+C=D>A+D>A+E=A+C

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Rank the vector combinations on the basis of their angle, measured counterclockwise from the positive x axis. Vectors parallel to the positive x axis have an angle of 0? . All angle measures fall between 0? and 360?
A+C, A+B, A+D, A+E, F+C, D

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-10

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Let vectors A? =(2,1,?4), B? =(?3,0,1), and C? =(?1,?1,2).
A? ?B? =

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2 radians

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Let vectors A? =(2,1,?4), B? =(?3,0,1), and C? =(?1,?1,2).
What is the angle ?AB between A? and B? ?

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30

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Let vectors A? =(2,1,?4), B? =(?3,0,1), and C? =(?1,?1,2).
2B? ?3C? =

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30

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Let vectors A? =(2,1,?4), B? =(?3,0,1), and C? =(?1,?1,2).
2(B? ?3C? ) =

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A? ?(B? +C? )

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Let vectors A? =(2,1,?4), B? =(?3,0,1), and C? =(?1,?1,2).
Which of the following can be computed?
A? ?B? ?C?
A? ?(B? ?C? )
A? ?(B? +C? )
3?A?

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V1V2

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V? 1 and V? 2 are different vectors with lengths V1 and V2 respectively. Find the following:
V? 1?V? 2 =

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V1V2

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V? 1 and V? 2 are different vectors with lengths V1 and V2 respectively. Find the following:
If V? 1 and V? 2 are parallel, V? 1?V? 2 =

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4,5,-17

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Let vectors A? =(1,0,?3), B? =(?2,5,1), and C? =(3,1,1).
B? รC? =

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-4,-5,17

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Let vectors A? =(1,0,?3), B? =(?2,5,1), and C? =(3,1,1).
C? รB? =

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24,30,-102

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Let vectors A? =(1,0,?3), B? =(?2,5,1), and C? =(3,1,1).
(2B? )ร(3C? ) =

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15,5,5

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Let vectors A? =(1,0,?3), B? =(?2,5,1), and C? =(3,1,1).
A? ร(B? รC? ) =

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55

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Let vectors A? =(1,0,?3), B? =(?2,5,1), and C? =(3,1,1).
A? ?(B? รC? ) =

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V1V2

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V? 1 and V? 2 are different vectors with lengths V1 and V2 respectively. Find the following, expressing your answers in terms of given quantities.
If V? 1 and V? 2 are perpendicular,
|V? 1รV? 2| =

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5

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-10
-5
0
10
5

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CDBEA

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Referring again to the graph in Part E, rank, in increasing order, the derivatives of the function at each of the points A through E. If two of the values are equal, you may list them in either order.