Mastering Physics 1
Dx, Dy = 2,-3
In ordered pair notation, write down the components of vector D⃗ .
24,30,-102
Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1). (2B⃗ )×(3C⃗ ) =
15,5,5
Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1). A⃗ ×(B⃗ ×C⃗ ) =
55
Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1). A⃗ ⋅(B⃗ ×C⃗ ) =
4,5,-17
Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1). B⃗ ×C⃗ =
-4,-5,17
Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1). C⃗ ×B⃗ =
30
Let vectors A⃗ =(2,1,−4), B⃗ =(−3,0,1), and C⃗ =(−1,−1,2). 2(B⃗ ⋅3C⃗ ) =
30
Let vectors A⃗ =(2,1,−4), B⃗ =(−3,0,1), and C⃗ =(−1,−1,2). 2B⃗ ⋅3C⃗ =
-10
Let vectors A⃗ =(2,1,−4), B⃗ =(−3,0,1), and C⃗ =(−1,−1,2). A⃗ ⋅B⃗ =
2 radians
Let vectors A⃗ =(2,1,−4), B⃗ =(−3,0,1), and C⃗ =(−1,−1,2). What is the angle θAB between A⃗ and B⃗ ?
A⃗ ⋅(B⃗ +C⃗ )
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
A+B>F+C=D>A+D>A+E=A+C
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 > D =F+C >A+E
Rank the vector combinations on the basis of their magnitude. A+C, A+B, A+D, A+E, F+C, D
CDBEA
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.
0
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 parallel, |V⃗ 1×V⃗ 2| =
V1V2
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| =
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 =
Ax = 2.5
What is the x component of A⃗ ?
5
-10 -5 0 10 5
Bx, By = 2,-3
In ordered pair notation, write down the components of vector B⃗ .
0
V⃗ 1 and V⃗ 2 are different vectors with lengths V1 and V2 respectively. Find the following: If V⃗ 1 and V⃗ 2 are perpendicular, V⃗ 1⋅V⃗ 2=
V1V2
V⃗ 1 and V⃗ 2 are different vectors with lengths V1 and V2 respectively. Find the following: V⃗ 1⋅V⃗ 2 =
Cx = -2
What is the x component of C⃗ ?
Ay = 3
What is the y component of A⃗ ?
By = -3
What is the y component of B⃗ ?
-They are the same vectors
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.
