Quiz about Add Vectors Scalars

Question 1

A resultant vector is

Accepted Answer

equal to the sum of two or more vectors.

Answer

equal to the sum of one vector.

Answer

equal to the difference of one vector.

Question 2

How should you add two vectors? (Select all that apply!!!!)

Accepted Answer

Add them head to tail

Accepted Answer

Use the parallelogram method

Answer

Add them tail to tail

Answer

Don't bother, why bother

Answer

Add them head to head

Question 3

Let $$\overrightarrow{u}= \left(5,-3\right)$$ , $$\overrightarrow{v}= \left(1,3\right)$$ and $$\overrightarrow{w}= \left(7,-13\right)$$ .

Find c₁, c₂where as a linear combination $$\overrightarrow{w}=c_1\overrightarrow{u}+c_2\overrightarrow{v}$$

Accepted Answer

c₁=2 , c₂=-3

Answer

c₁=2 , c₂=-2

Answer

c₁=1 , c₂=2

Answer

c₁=-1 , c₂=3

Question 4

Let u = <5, 2> and v = <1, -1>.

Find u + v.

Accepted Answer

<6, 1>

Answer

<4, -1>

Answer

<3, 4>

Answer

<1, 6>

Question 5

If vector h = (3,-5) and vector k = (5, 9), find the sum.

Accepted Answer

h + k = (8,4)

Answer

h + k = (8,-14)

Answer

h + k = (-2,4)

Answer

h + k = (2,-14)

Question 6

Which vector equation matches the vector operation shown in the diagram below?

Accepted Answer

v+u=-w

Answer

u-v=w

Answer

u-v=-w

Answer

u+v=w

Question 7

What is the magnitude of the resultant vector, r?

Accepted Answer

5

Answer

3

Answer

4

Answer

7

Question 8

Which are mathematical/analytical methods of vector addition?

Accepted Answer

Component Method

Accepted Answer

Phythagorean Method

Answer

Polygon Method

Answer

Parallelogram Method

Question 9

If vector a= (4, -5) and vector b= (-7, 4) Find a+b

Accepted Answer

(-3, -1)

Answer

(3, 9)

Answer

(11, 1)

Answer

(-3, -9)

Question 10

When adding two vectors graphically, a+b=c. Does b+a produce the same resultant vector c?

Accepted Answer

Yes, two vectors added together always produce the same resultant vector

Answer

No, because order matters

Answer

Yes, but c will be pointing in the opposite direction

Answer

No, because you can't add two vectors

Question 11

Which vector equation matches the vector operation shown in the diagram below?

Accepted Answer

w - u = - v

Answer

v + w = - u

Answer

w - u = v

Answer

- u + v = w

Question 12

Vector a = 2i + 3j - 5k. What is the value of 3a?

Accepted Answer

6i + 9j -15k

Answer

3i + 3j - 3k

Answer

5i + 6j - 8k

Answer

6i + 6j - 15k

Question 13

$$\overrightarrow{BE}\ is\ equal\ to$$

Accepted Answer

$$-\overrightarrow{p}+\overrightarrow{t}$$

Answer

$$\overrightarrow{p}+\overrightarrow{t}$$

Answer

$$\overrightarrow{q}+\overrightarrow{r}$$

Answer

$$\overrightarrow{q}+\overrightarrow{r}-\overrightarrow{s}$$

Answer

$$\overrightarrow{p}-\overrightarrow{t}$$

Question 14

We can add more than two vectors.

Accepted Answer

Yes

Answer

No

Question 15

Solve vector P= A + B from the given coordinate system.

Accepted Answer

P=[0,0,0]

Answer

P=[3,3,1]

Answer

P=[-3,-3,-1]

Answer

P=[7,3,0]

Question 16

Solve the scalar product 1/2P of vector P=[3,2,0]

Accepted Answer

1/2P=[ 3/2, 1, 0 ]

Answer

1/2P=[ -3, -2, 0 ]

Answer

1/2P=[ -3, 1, 0 ]

Answer

None

Question 17

$$a\cdot\overrightarrow{w}\ =\ $$ When multiplying a scalar to a vector, you must multiply the scalar number to BOTH the horizontal component AND the vertical component

Accepted Answer

True

Answer

False

Answer

You cannot multiply scalars and vectors.

Question 18

What is the direction of this vector?

Accepted Answer

north of east

Answer

south of north

Answer

east of south

Add Vectors Scalars

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