Free Printable vectors

1.

A vector is a mathematical structure that has both _______ and _______.

a)

direction, magnitude

b)

scope, sequence

c)

meat, potatoes

d)

scalar, vector

2.

When adding vectors graphically, the magnitude of the resultant vector is represented

a)

the length of the vector drawn

b)

the arrow head of the vector drawn

c)

both of the above

d)

none of the above

3.

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS. Hint: get it into the pointy brackets.

a)

〈14,-13〉

b)

〈-14,13〉

c)

〈-40,-21〉

d)

〈40,-21〉

4.

Write in component form.

a)

<0, 4>

b)

<8, 2>

c)

<2, 8>

d)

<0, 2>

5.

Express $\overrightarrow{OK}$ as a column vector.

a)

b)

6.

All the vectors shown are equal, except for

a)

$\overrightarrow{CD}$

b)

$\overrightarrow{GH}$

c)

$\overrightarrow{AB}$

d)

$\overrightarrow{IJ}$

7.

Express $\overrightarrow{OK}$ as a column vector.

a)

b)

8.

All the vectors shown are equal, except for

a)

$\overrightarrow{CD}$

b)

$\overrightarrow{GH}$

c)

$\overrightarrow{AB}$

d)

$\overrightarrow{IJ}$

9.

Express the vector $\overrightarrow{AB}$ as a column vector.

a)

b)

c)

d)

10.

Express the vector $\overrightarrow{AB}$ as a column vector.

a)

b)

c)

d)

11.

The midpoint of $\overrightarrow{OL}$ is $M$ .

a)

True

b)

False

12.

A column vector is written as

a)

True

b)

False

13.

A position vector arrow is drawn from ____________ ?

a)

the origin to a point

b)

a point to a point

c)

a point to the origin

d)

the origin to the origin

14.

The diagram below shows two position vectors OA and OB. OA as a column vector is

a)

b)

c)

d)

15.

ABCD is a parallelogram. AB is parallel to DC.
AD is parallel to BC. Find $\overrightarrow{AC}$ in terms of p and q

a)

p + q

b)

p - q

c)

q - p

d)

2q

16.

ABCD is a parallelogram. AB is parallel to DC.AD is parallel to BC. Find $\overrightarrow{BD}$ in terms of p and q

a)

p + q

b)

p - q

c)

2q

d)

q - p

17.

Which vector is parallel to the vector above

a)

b)

c)

d)

18.

If $\overrightarrow{AD}$ = a - 2b the vector that is parallel to $\overrightarrow{AD}$ is

a)

3a - 2b

b)

a - 4b

c)

-2a + 4b

d)

2a - 5b

19.

Vector is a quantity with:

a)

magnitude and direction

b)

magnitude

c)

direction

d)

none of the above

20.

Vectors are equivalent if they have the same magnitude and direction. Which are equivalent vectors?

a)

u and -u

b)

u and a

c)

u and v

d)

u and b

21.

A vector is a mathematical structure that has both _______ and _______.

a)

direction, magnitude

b)

scope, sequence

c)

meat, potatoes

d)

scalar, vector

22.

Two vectors who have the same or opposite direction.

a)

Parallel vectors

b)

Equivalent vectors

c)

Opposite vectors

23.

Two vectors that have the same magnitude and direction

a)

Parallel vectors

b)

Equivalent vectors

c)

Opposite vectors

24.

What is the "magnitude" of a vector?

a)

the units of the vector show magnitude

b)

the sign of the vector shows magnitude

c)

the length of the vector shows magnitude

d)

the direction of the vector shows magnitude

25.

Write the vector from C to B...

a)

y

b)

-y

c)

z

d)

-z

26.

Write the vector from B to D...

a)

a

b)

-a

c)

b

d)

-b

27.

What is the column vector for D?

a)

$\left(\frac{1}{3}\right)$

b)

$\left(\frac{3}{1}\right)$

c)

$\left(\frac{-1}{-3}\right)$

d)

$\left(\frac{-3}{-1}\right)$

28.

What is the Column Vector for H?

a)

$\left(\frac{2}{1}\right)$

b)

$\left(\frac{1}{-2}\right)$

c)

$\left(\frac{-1}{2}\right)$

d)

$\left(\frac{2}{-1}\right)$

29.

What is the Column Vector for F?

a)

$\left(\frac{4}{5}\right)$

b)

$\left(\frac{-4}{5}\right)$

c)

$\left(\frac{0}{-3}\right)$

d)

$\left(\frac{-4}{-5}\right)$

30.

Which vector on the graph shows 2a?

a)

A

b)

B

c)

C

d)

D

e)

E

31.

Which vector on the graph shows a + b?

a)

A

b)

B

c)

D

d)

E

e)

F

32.

Which vector on the graph shows 4a - 2b?

a)

A

b)

C

c)

D

d)

E

e)

F

33.

a +b

a)

$\left(\frac{8}{1}\right)$

b)

$\left(\frac{4}{9}\right)$

c)

$\left(\frac{10}{7}\right)$

d)

$\left(\frac{12}{1}\right)$

34.

c + b

a)

$\left(\frac{10}{-5}\right)$

b)

$\left(\frac{5}{-8}\right)$

c)

$\left(\frac{6}{-2}\right)$

d)

$\left(\frac{7}{-11}\right)$

35.

-c - a

a)

$\left(\frac{4}{3}\right)$

b)

$\left(\frac{1}{2}\right)$

c)

$\left(\frac{-2}{-4}\right)$

d)

$\left(\frac{-3}{-2}\right)$

36.

a + b

a)

$\left(\frac{8}{-1}\right)$

b)

$\left(\frac{6}{2}\right)$

c)

$\left(\frac{7}{5}\right)$

d)

$\left(\frac{5}{8}\right)$

37.

2c + b

a)

$\left(\frac{13}{-3}\right)$

b)

$\left(\frac{11}{0}\right)$

c)

$\left(\frac{8}{9}\right)$

d)

$\left(\frac{9}{12}\right)$

38.

3c - 2b

a)

$\left(\frac{-4}{25}\right)$

b)

$\left(\frac{0}{19}\right)$

c)

$\left(\frac{9}{-8}\right)$

d)

$\left(\frac{5}{-4}\right)$

39.

2a - c

a)

$\left(\frac{1}{4}\right)$

b)

$\left(\frac{4}{-5}\right)$

c)

$\left(\frac{7}{-5}\right)$

d)

$\left(\frac{8}{-11}\right)$

40.

a - b

a)

$\left(\frac{-3}{3}\right)$

b)

$\left(\frac{4}{-6}\right)$

c)

$\left(\frac{7}{-9}\right)$

d)

$\left(\frac{3}{-5}\right)$

41.

2c + b - a

a)

$\left(\frac{20}{-14}\right)$

b)

$\left(\frac{-1}{13}\right)$

c)

$\left(\frac{3}{7}\right)$

d)

$\left(\frac{5}{7}\right)$

42.

2a - 1/2 b

a)

$\left(\frac{15}{-11}\right)$

b)

$\left(\frac{13}{-7}\right)$

c)

$\left(\frac{6}{0}\right)$

d)

$\left(\frac{-1}{9}\right)$

43.

Find the value of x

(a)

44.

Find the value of y

(a)

45.

Find the value of z

(a)

46.

A position vector arrow is drawn from ____________ ?

a)

the origin to a point

b)

a point to a point

c)

a point to the origin

d)

the origin to the origin

47.

The vector $\overrightarrow{OM}$ is a position vector.

a)

TRUE

b)

FALSE

48.

The vector $\overrightarrow{ML}$ is a position vector.

a)

True

b)

False

49.

Express $\overrightarrow{OK}$ as a column vector.

a)

b)

50.

All the vectors shown are equal, except for

a)

$\overrightarrow{CD}$

b)

$\overrightarrow{GH}$

c)

$\overrightarrow{AB}$

d)

$\overrightarrow{IJ}$

51.

Express the vector $\overrightarrow{AB}$ as a column vector.

a)

b)

c)

d)

52.

Express the vector $\overrightarrow{AB}$ as a column vector.

a)

b)

c)

d)

53.

The midpoint of $\overrightarrow{OL}$ is $M$ .

a)

True

b)

False

54.

If $N$ is the midpoint of $\overrightarrow{OL}$ , then $N$ is equal to $\left(3\ ,\ \frac{5}{2}\right)$ .

a)

True

b)

False

55.

A column vector is written as

a)

True

b)

False

vectors

Total questions: 55

Worksheet time: 2hrs 26mins

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