What is the x component of A⃗ ?
Ax = 2.5
What is the y component of A⃗ ?
Ay = 3
What is the y component of B⃗ ?
By = -3
What is the x component of C⃗ ?
Cx = -2
In ordered pair notation, write down the components of vector B⃗ .
Bx, By = 2,-3
In ordered pair notation, write down the components of vector D⃗ .
Dx, Dy = 2,-3
What is true about B⃗ and D⃗ ? 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 > 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+B>F+C=D>A+D>A+E=A+C
Draw the vector C⃗ =A⃗ +2B⃗
Draw the vector C⃗ =1.5A⃗ −3B⃗
Draw the vector C⃗ =0.5A⃗ +2B⃗ .
Let vectors A⃗ =(2,1,−4), B⃗ =(−3,0,1), and C⃗ =(−1,−1,2).
A⃗ ⋅B⃗ =
A⃗ ⋅B⃗ =
-10
Let vectors A⃗ =(2,1,−4), B⃗ =(−3,0,1), and C⃗ =(−1,−1,2).
What is the angle θAB between A⃗ and B⃗ ?
What is the angle θAB between A⃗ and B⃗ ?
2 radians
Let vectors A⃗ =(2,1,−4), B⃗ =(−3,0,1), and C⃗ =(−1,−1,2).
2B⃗ ⋅3C⃗ =
2B⃗ ⋅3C⃗ =
30
Let vectors A⃗ =(2,1,−4), B⃗ =(−3,0,1), and C⃗ =(−1,−1,2).
2(B⃗ ⋅3C⃗ ) =
2(B⃗ ⋅3C⃗ ) =
30
Let vectors A⃗ =(2,1,−4), B⃗ =(−3,0,1), and C⃗ =(−1,−1,2).
Which of the following can be computed?
A⃗ ⋅B⃗ ⋅C⃗
A⃗ ⋅(B⃗ ⋅C⃗ )
A⃗ ⋅(B⃗ +C⃗ )
3⋅A⃗
Which of the following can be computed?
A⃗ ⋅B⃗ ⋅C⃗
A⃗ ⋅(B⃗ ⋅C⃗ )
A⃗ ⋅(B⃗ +C⃗ )
3⋅A⃗
A⃗ ⋅(B⃗ +C⃗ )
V⃗ 1 and V⃗ 2 are different vectors with lengths V1 and V2 respectively. Find the following:
V⃗ 1⋅V⃗ 2 =
V⃗ 1⋅V⃗ 2 =
V1V2
V⃗ 1 and V⃗ 2 are different vectors with lengths V1 and V2 respectively. Find the following:
If V⃗ 1 and V⃗ 2 are parallel, V⃗ 1⋅V⃗ 2 =
If V⃗ 1 and V⃗ 2 are parallel, V⃗ 1⋅V⃗ 2 =
V1V2
Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1).
B⃗ ×C⃗ =
B⃗ ×C⃗ =
4,5,-17
Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1).
C⃗ ×B⃗ =
C⃗ ×B⃗ =
-4,-5,17
Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1).
(2B⃗ )×(3C⃗ ) =
(2B⃗ )×(3C⃗ ) =
24,30,-102
Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1).
A⃗ ×(B⃗ ×C⃗ ) =
A⃗ ×(B⃗ ×C⃗ ) =
15,5,5
Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1).
A⃗ ⋅(B⃗ ×C⃗ ) =
A⃗ ⋅(B⃗ ×C⃗ ) =
55
V⃗ 1 and V⃗ 2 are different vectors with lengths V1 and V2 respectively. Find the following, expressing your answers in terms of given quantities.
If V⃗ 1 and V⃗ 2 are perpendicular,
|V⃗ 1×V⃗ 2| =
If V⃗ 1 and V⃗ 2 are perpendicular,
|V⃗ 1×V⃗ 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
