What is the x component of A? ?
Ax = 2.5
What is the y component of A? ?
Ay = 3
What is the y component of B? ?
By = -3
What is the x component of C? ?
Cx = -2
In ordered pair notation, write down the components of vector B? .
Bx, By = 2,-3
In ordered pair notation, write down the components of vector D? .
Dx, Dy = 2,-3
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.
-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.
-They are the same vectors
Rank the vector combinations on the basis of their magnitude.
A+C, A+B, A+D, A+E, F+C, D
A+C, A+B, A+D, A+E, F+C, D
A+C> A+B =A+D > D =F+C >A+E
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
A+C, A+B, A+D, A+E, F+C, D
A+B>F+C=D>A+D>A+E=A+C
Draw the vector C? =A? +2B?
Draw the vector C? =1.5A? ?3B?
Draw the vector C? =0.5A? +2B? .
Let vectors A? =(2,1,?4), B? =(?3,0,1), and C? =(?1,?1,2).
A? ?B? =
A? ?B? =
-10
Let vectors A? =(2,1,?4), B? =(?3,0,1), and C? =(?1,?1,2).
What is the angle ?AB between A? and B? ?
What is the angle ?AB between A? and B? ?
2 radians
Let vectors A? =(2,1,?4), B? =(?3,0,1), and C? =(?1,?1,2).
2B? ?3C? =
2B? ?3C? =
30
Let vectors A? =(2,1,?4), B? =(?3,0,1), and C? =(?1,?1,2).
2(B? ?3C? ) =
2(B? ?3C? ) =
30
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?
Which of the following can be computed?
A? ?B? ?C?
A? ?(B? ?C? )
A? ?(B? +C? )
3?A?
A? ?(B? +C? )
V? 1 and V? 2 are different vectors with lengths V1 and V2 respectively. Find the following:
V? 1?V? 2 =
V? 1?V? 2 =
V1V2
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 =
If V? 1 and V? 2 are parallel, V? 1?V? 2 =
V1V2
Let vectors A? =(1,0,?3), B? =(?2,5,1), and C? =(3,1,1).
B? ×C? =
B? ×C? =
4,5,-17
Let vectors A? =(1,0,?3), B? =(?2,5,1), and C? =(3,1,1).
C? ×B? =
C? ×B? =
-4,-5,17
Let vectors A? =(1,0,?3), B? =(?2,5,1), and C? =(3,1,1).
(2B? )×(3C? ) =
(2B? )×(3C? ) =
24,30,-102
Let vectors A? =(1,0,?3), B? =(?2,5,1), and C? =(3,1,1).
A? ×(B? ×C? ) =
A? ×(B? ×C? ) =
15,5,5
Let vectors A? =(1,0,?3), B? =(?2,5,1), and C? =(3,1,1).
A? ?(B? ×C? ) =
A? ?(B? ×C? ) =
55
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? 1×V? 2| =
If V? 1 and V? 2 are perpendicular,
|V? 1×V? 2| =
V1V2
2,1,3
6.3,-0.25
cm/yr
cm/yr
y=0.6 (couldn’t get the picture, sorry!)
CBDA
-10
-5
0
10
5
-5
0
10
5
5
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.
CDBEA
