Quiz about scalar and dot product

Question 1

What is a vector?

Accepted Answer

A vector is a quantity defined by both magnitude and direction.

Answer

A vector is a type of graph.

Answer

A vector is a point in space.

Answer

A vector is a scalar quantity.

Question 2

What happens when you multiply a vector by a negative scalar?

Accepted Answer

The vector's direction is reversed.

Answer

The vector's magnitude is doubled.

Answer

The vector remains unchanged.

Answer

The vector's components are squared.

Question 3

What is the difference between a scalar and a vector?

Accepted Answer

Scalars have magnitude only; vectors have both magnitude and direction.

Answer

Scalars have direction; vectors have only magnitude.

Answer

Scalars can be represented as arrows; vectors cannot.

Answer

Vectors are always positive numbers; scalars can be negative.

Question 4

$$\overrightarrow{u}=<3,9>$$ & $$\overrightarrow{v}=<6,5>$$

Find $$\overrightarrow{u}\cdot\overrightarrow{v}$$

Accepted Answer

63

Answer

< 18 , 45 >

Answer

< 9 , 14 >

Answer

57

Question 5

$$\overrightarrow{u}=-i+5j$$ & $$\overrightarrow{v}=-6i-2j$$

Find $$\overrightarrow{u}\cdot\overrightarrow{v}$$

Accepted Answer

-4

Answer

-7i + 3j

Answer

6i - 10j

Answer

7

Question 6

$$\overrightarrow{x}=<8,4>$$ & $$\overrightarrow{y}=<-7,-9>$$

Find $$\overrightarrow{x}\cdot\overrightarrow{y}$$

Accepted Answer

-92

Answer

< -56 , -36 >

Answer

95

Answer

< 1 , -5 >

Question 7

$$\overrightarrow{x}=<0,7>$$ & $$\overrightarrow{y}=<-8,0>$$

Find $$\overrightarrow{x}\cdot\overrightarrow{y}$$

Accepted Answer

0

Answer

< -8 , 7 >

Answer

< 0 , 0 >

Answer

-56

Question 8

Given vector $$u=<4,5>$$ find $$2u$$

Accepted Answer

$$<8,10>$$

Answer

22

Answer

$$<6,7>$$

Answer

18

Question 9

Vector a = <3, -4>. What is the value of 3a?

Accepted Answer

<9, -12>

Answer

-36

Answer

6

Answer

<-6, 1>

Question 10

Using scalar multiplication, find

$$5\overrightarrow{u}$$ if $$\overrightarrow{u}=<2,\ 4>$$

Accepted Answer

<10, 20>

Answer

<7, 9>

Answer

40

Answer

30

Question 11

If $$\overrightarrow{c}=<5,-2>$$ , what is the value of $$-2\overrightarrow{c}$$ ?

Accepted Answer

<-10, 4>

Answer

<-5, 2>

Answer

<5, 2>

Answer

<10, -4>

Question 12

$$a\cdot\overrightarrow{w}\ =\ $$ 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 13

Given u = <3, 7> and v =<-5, 4>, find 2v - 3u

Accepted Answer

<-19, -13>

Answer

<21, 2>

Answer

<-15, 3>

Answer

23

scalar and dot product

14 questions

What is a vector?

What happens when you multiply a vector by a negative scalar?

What is the difference between a scalar and a vector?

Vector a = <3, -4>. What is the value of 3a?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics