Free Printable Vectors Review

1.

In the diagram, point B is called the vector's

a)

arrow

b)

end

c)

direction

d)

head

e)

terminal point

2.

In the diagram, point A is called the vector's

a)

start

b)

beginning

c)

tail

d)

origin

e)

initial point

3.

The two vectors in the diagram are

a)

parallel

b)

not parallel

c)

anti-parallel

d)

opposites

e)

have the same magnitude

4.

The diagram illustrates

a)

commutativity of scalar addition

b)

transitivity of vector addition

c)

commutativity of vector addition

d)

rearrangement inequality

e)

vector stability under translation

5.

The diagram illustrates

a)

scalar addition

b)

parallelogram rule

c)

triangle inequality

d)

vector concatenation

e)

polygonal permanence

6.

The diagrams can be used to illustrate

a)

dot product commutativity

b)

dot product distributivity over addition

c)

dot product homogeneity under scaling

d)

dot product linearity

e)

Pythagorean Theorem for vectors

7.

The diagram illustrates

a)

dot product commutativity

b)

parallelogram rule

c)

Pythagorean rule

d)

homogeneity under scaling

e)

vector homothety

8.

If $\vec{AB}+\vec{AC}+\vec{AD}\ =\ \vec{0},$ then

a)

ABCD must be a parallelogram

b)

A must be the orthocenter of triangle BCD

c)

A must be the centroid of triangle BCD

d)

A must be the incenter of triangle BCD

e)

A must be the circumcenter of triangle BCD

9.

If $\vec{a}=\left(a_1,a_2\right)\text{ and }\vec{b}=\left(b_1,b_2\right),$ then

a)

$\vec{a}+\vec{b}=\left(a_1+b_1,a_2+b_2\right)$

b)

$\vec{a}\cdot\vec{b}=a_1b_1+a_2b_2$

c)

$\vec{a\ }\cdot\vec{b}\le\left|\vec{a}\right|\cdot\left|\vec{b}\right|$

d)

$\vec{a}\cdot\vec{b}=\left|\vec{a}\right|\cdot\left|\vec{b}\right|\cos\theta,$ where $\theta$ is the angle between $\vec{a}\ \text{and}\ \vec{b}$

e)

$\vec{a}\vec{b}=\left(a_1b_1,a_2b_2\right)$

Vectors Review

Total questions: 9

Worksheet time: 13mins

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