Quiz about Spring ACPR: Vectors

Question 1

If $$u=<8,\ 12,\ -3>,\ v=<-4,\ 7,\ 14>,$$ and $$w=<2,\ -5,\ 6>$$ , what is $$3u-4v+2w$$ ?

Accepted Answer

$$<44,\ -2,\ -53>$$

Answer

$$<6,\ 14,\ 17>$$

Answer

$$<19,\ 24,\ 23>$$

Answer

$$<12,\ 54,\ 9>$$

Question 2

Let $$\overrightarrow{AB}$$ be the vector with initial point $$A\left(-1,\ -2\right)$$ and terminal point $$B\left(3,\ 4\right)$$ . Which graph represents vector $$-\frac{1}{2}\overrightarrow{AB}$$ ?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 3

Vectors $$u$$ and $$v$$ are shown. Which representation shows the addition of vectors $$u$$ and $$v$$ to create vector $$w$$ ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 4

An airplanes flies east for 200 miles before turning $$60\degree$$ south and flying for 100 miles. What are the magnitude and the direction of the airplane from its starting point?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 5

In physics, a force diagram is used to show the effects of all the different forces acting on an object. The diagram shown represents the forces acting on a child sliding down a slide. What is the component form of the resultant vector representing the forces acting upon the child?

Accepted Answer

$$<-49,\ -142>$$

Answer

$$<61,\ 198>$$

Answer

$$<49,-142>$$

Answer

$$<-49,\ -298>$$

Question 6

In physics, a force diagram is used to show the effects of all the different forces acting on an object. The diagram shown represents the forces acting on a child sliding down a slide. What is the magnitude of the resultant vector representing the forces acting upon the child?

Accepted Answer

$$150\ N$$

Answer

$$-191\ N$$

Answer

$$-93\ N$$

Answer

$$304\ N$$

Question 7

If $$r=<4,\ -2>$$ , which graph represents $$-2r$$ ?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 8

A ship leaves port and travels on a constant course and at a constant speed for 15 days to reach its destination. If the ship's port is represented by the vector $$<0,0>$$ and its destination is represented by the vector $$<-825,\ -30>$$ , which vector represents the ship's position at the third day?

Accepted Answer

$$<-165,\ -6>$$

Answer

$$<-55,\ -2>$$

Answer

$$<-275,\ -10>$$

Answer

$$<-2475,\ -90>$$

Question 9

Harrison walks to the library after school every day. When Harrison leaves school, he walks 16 blocks due West and then 12 blocks due North to get to the library. What is the magnitude and direction of the resultant vector?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Spring ACPR: Vectors

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