Quiz about Precalc Vectors

Question 1

Find the component form of AB with initial point A(1, -3) and terminal point B(1, 3)

Accepted Answer

<0, 6>

Answer

<2, 0>

Answer

2i

Answer

6j

Question 2

Find the component form of AB with initial point A(0, 8) and terminal point B(-9, -3)

Accepted Answer

<-9, -11>

Answer

-9i + 5j

Answer

-9i - 11j

Answer

<-9, 5>

Question 3

Question 3.

Accepted Answer

Dot product of v and w

Answer

The scalar product of v and w

Answer

vector v times vector w

Answer

V x W

Question 4

Question 4.

Accepted Answer

Magnitude of vector AB

Answer

Direction of AB

Answer

Distance of vector AB

Answer

Vector AB

Question 5

If w = <2, -5> and y = <2, 0>, find 2w + y

Accepted Answer

<6, -10>

Answer

<-10, 2>

Answer

<4, -5>

Answer

<-6, 10>

Question 6

If y = <2, 0> and z = <-1, -4>, find 3y - 2z

Accepted Answer

<8, 8>

Answer

<5, -8>

Answer

<4, 8>

Answer

<-8, -8>

Question 7

Find the magnitude of AB if the initial point is (-3, 1) and the terminal point is (3, 9)

Accepted Answer

10

Answer

6

Answer

8.2

Answer

10.4

Question 8

Is this a scalar quantity or a vector quantity?
Wind blowing at 20 knots

Accepted Answer

Scalar

Answer

Vector

Question 9

Is this a scalar quantity or a vector quantity?
A 15-pound tire hanging from a rope

Accepted Answer

Vector

Answer

Scalar

Question 10

Is this a scalar quantity or a vector quantity?
A deer running 15 meters per second due west

Accepted Answer

Vector

Answer

Scalar

Question 11

Are these two vectors equivalent? u = <3,6> and v = <-4,2>

Accepted Answer

No

Answer

Yes

Answer

How am I suppose to know?

Answer

Really, Ms. A... What is this?

Question 12

Are these two vectors parallel? u = -i - 4j and v = 3i - 2j

Accepted Answer

No

Answer

Yes

Answer

Maybe

Answer

Huh?

Question 13

Are these two vectors orthogonal? u = <2,4> and v = <-12,6>

Accepted Answer

Yes

Answer

No

Answer

Maybe

Answer

How do we do this again?

Question 14

A quantity that has both magnitude and direction is called a scalar quantity.

Accepted Answer

False

Answer

True

Question 15

What is the minimum (smallest) resultant possible when adding a 3 unit vector and an 8 unit vector?

Accepted Answer

5

Answer

24

Answer

11

Answer

8

Question 16

the angle between vectors u and v. Round to three decimals.

Accepted Answer

8.820o

Answer

45o

Answer

26.231o

Answer

156.930o

Question 17

To add two vectors algebraically, add all the numbers in the first vector together. Then add all the numbers in the second vector together.

Accepted Answer

False

Answer

True

Question 18

Find the component form of the vector. Round to three decimals.

Accepted Answer

<16.314, 7.607>

Answer

<16.116, 7.798>

Answer

<16.298, 7.335>

Answer

<16.892, 7.530>

Question 19

An airplane is flying on a bearing of 340^o at 355 mph. A wind is blowing with the bearing of 115^o at 40 mph. Find the component form of the resultant vector (p + W). Round to three decimal places.

Accepted Answer

<316.686, -85.165>

Answer

<-85.165, 316.686>

Answer

<-316.686, -85.165>

Answer

<-89.543, 309.289>

Question 20

If you have the points A(-4,7) and B(-10,23), find the vector AB.

Accepted Answer

<-6,16>

Answer

<16,-6>

Answer

<-14,30>

Answer

<30,-14>

Question 21

Find the unit vector in the same direction as v.

Accepted Answer

<-5/13, -12/13>

Answer

<0.385, 0.923>

Answer

<-0.832, 0.555>

Answer

<5/13, 12/13>

Question 22

Find the projection of u=<3,-12> onto v=<9,2>.

Accepted Answer

<27/85, 6/85>

Answer

<85/27, 85/6>

Answer

<9/85, -36/85>

Answer

<85/9, -85/36>

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