Mastering Physics 1

Ax = 2.5

What is the x component of A⃗ ?

Ay = 3

What is the y component of A⃗ ?

By = -3

What is the y component of B⃗ ?

Cx = -2

What is the x component of C⃗ ?

Bx, By = 2,-3

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

Dx, Dy = 2,-3

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

-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.

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

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

Draw the vector C⃗ =A⃗ +2B⃗

Draw the vector C⃗ =1.5A⃗ −3B⃗

Draw the vector C⃗ =0.5A⃗ +2B⃗ .

-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 ?

30

Let vectors A⃗ =(2,1,−4), B⃗ =(−3,0,1), and C⃗ =(−1,−1,2). 2B⃗ ⋅3C⃗ =

30

Let vectors A⃗ =(2,1,−4), B⃗ =(−3,0,1), and C⃗ =(−1,−1,2). 2(B⃗ ⋅3C⃗ ) =

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

V1V2

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

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: If V⃗ 1 and V⃗ 2 are parallel, V⃗ 1⋅V⃗ 2 =

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 =

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 ) =

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| =

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| =

2,1,3

6.3,-0.25
cm/yr

y=0.6 (couldn’t get the picture, sorry!)

CBDA

5

-10 -5 0 10 5

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.