Printable Worksheets
Online Lessons
Test Maker™
More

Printable & online resources for educators

JOIN FOR FREE

Printable Worksheets
Online Lessons
Test Maker^TM
Worksheet Generator
Printable Games
Plans & Pricing

Blog
Help

JOIN FOR FREE

Browse All Questions
Questions With Images
Advanced Search

Want to see correct answers?
Login or join for free!

Looking for Algebra worksheets?
Check out our pre-made Algebra worksheets!

Share/Like This Page

Filter By Grade

Grade 11 Grade 12

Browse Questions

All Subjects w/ Images (7030)

By ELA/Literacy Standard
By Math Standard

All Subjects (217740)

Arts (4576)
English Language Arts (65621)
English as a Second Language ESL (44785)
Health and Medicine (9411)
Life Skills (2964)
Math (31423)
Physical Education (4157)
Science (55668)
Social Studies (30308)
Study Skills and Strategies (382)
Technology (2641)
Vocational Education (7168)

Vectors Questions - All Grades

You can create printable tests and worksheets from these Vectors questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Previous Page 4 of 7 Next

Select All Questions

Grade 11 Vectors CCSS: HSN-VM.A.2

This question is a part of a group with common instructions. View group »

What are the components of

$vec{CH} ?$

$<<-4,0>>$
$<<4,0>>$
$<<-4,1>>$
$<<-4,4>>$

Grade 12 Vectors

Find the angle between the two vectors.

$vecu=-8vecj$

$vecv=-9veci-2vecj$

77.47°
86.42°
74.87°
68.92°

Grade 12 Vectors

Are these two vectors parallel, orthogonal, or neither?

$<<4, -9>> " & " <<-9, 4>>$

parallel
orthogonal
neither

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a

If vector

$vec(v) = << 13,28 >>$ and vector

$vec(w) = << 6,14 >>$ , what is the result of

$vec(v) + vec(w)$ ?

$<< -15,-8 >>$
$<< -7,-14 >>$
$<< 7,14 >>$
$<< 19,42 >>$

Grade 12 Vectors CCSS: HSN-VM.A.2

A vector that has an initial point of

$(-4,8)$ and components of

$<<5,-9>>$ . What are the coordinates of the terminal point?

$(1,-1)$
$(9,17)$
$(12,14)$
$(-1,1)$

Grade 11 Vectors

Selena is flying an airplane in the Powder Puff Derby Air Race with an airspeed of magnitude 180 mph but her GPS shows a ground speed of magnitude 210 mph. The wind is

acting as a positive scalar.
having no effect.
acting as a negative scalar.
acting as a double scalar.

Grade 11 Vectors

Grant is flying a P-51 in the Reno Air Race. His airspeed is holding steady with a speed of magnitude 492 mph, but his GPS shows a ground speed of magnitude 480 mph on the back stretch and magnitude 504 mph over the stands. On the back stretch the wind is

acting as a positive scalar.
having no effect.
acting as a negative scalar.
a double scalar.

Grade 12 Vectors CCSS: HSN-VM.A.2

A vector that has an initial point of

$(15,-32)$ and components of

$<<-7,-13>>$ . What are the coordinates of the terminal point?

$(-7,-13)$
$(8,-45)$
$(23,-19)$
$(-15,32)$

Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5b

Which of the following statements is true if

$vec{v}$ is a non-zero vector,

$a$ is a scalar such that

$a< -1$ , and

$vec{w} = a vec{v} ?$

$||vec{w}|| = ||a vec{v}||$
$||vec{w}|| < ||a vec{v} ||$
$||vec{w}|| > ||a vec{v} ||$
$|| vec{w}|| = - || vec{v}||$

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4b

For

$vec{a}$ , its magnitude is 10 and its direction is 45°. If the direction of

$vec{b}$ is 135°, for what magnitudes of

$vec{b}$ will the vector sum

$vec{a} + vec{b}$ be in the first quadrant?

True for all magnitudes of $vec{b}$ .
$||vec{b}|| > 10$
$||vec{b}|| < 10$
$||vec{b}|| < 5$

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a

For vectors

$vec{a}, vec{b}$ , if they are placed such that their initial points are coincident, they have an angle of 60° between them. Also,

$||vec{a}|| = 5$ . If these vectors are added together, the resulting vector,

$vec{S}$ has a magnitude of 15 and an angle of 43.4°, relative to

$vec{a}$ . What is the magnitude of

$vec{b} ?$ Round answer to the nearest unit.

$||vec{b}|| = 12$
$||vec{b}|| = 17$
$||vec{b}|| = 4$
Cannot be determined with the information given.

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4a

This question is a part of a group with common instructions. View group »

Considering right triangle CDE, how is the magnitude of

$vec{EC}$ related to

$theta$ and the length of

$bar{ED}?$

$ED = ||vec{EC}|| cos theta$
$ED = ||vec{EC}|| sin theta$
$||vec{EC}|| = ED cos theta$
$tan theta = ||vec{EC}|| / (ED)$

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4b

Vector

$vec a$ has a magnitude of 4 and its direction is

$10 deg$ West of North. Vector

$vec b$ has a magnitude of 6 and its direction is

$80 deg$ South of East. What is the resulting direction of

$vec a + vec b$ ?

$10 deg$ East of North
$70 deg$ North of West
$80 deg$ East of South
$10 deg$ East of South

Grade 11 Vectors CCSS: HSN-VM.A.3

Raylene is riding a sled down a hill traveling at 15 m/s. She turns around and throws a snowball back uphill at a velocity of 10 m/s. What is the ground speed of the snowball?

150 m/s
25 m/s
5 m/s
1.5 m/s

Grade 11 Vectors CCSS: HSN-VM.B.4, HSN-VM.B.4c

If vector

$vec(t) = << 13,28 >>$ and vector

$vec(r) = << -13,-28 >>$ , what is the result of

$vec(r) - vec(t)$ ?

$<< -26,-56 >>$
$<< 0,0 >>$
$<< 26,56 >>$
$<< 41,-41 >>$

Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5b

For the vectors

$vec{n}$ and

$vec{m}$ ,

$||a \ vec{n}|| = ||vec{m}||$ for scalar

$a$ , where

$a$ can be any non-zero real number. Which of the following statements must be true?

The two vectors have the same direction.
The two vectors have the opposite direction.
The ratio of the magnitudes of $vec{m}$ to $vec{n}$ is $a$ to $1$ .
The two vectors are equal.

Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5b

For vectors

$vec{n} = 6vec{v}$ and

$vec{m} = -12vec{v}$ , which of the following statements are correct? Choose all correct answers.

The vectors have opposite directions.
$-2||vec{n}|| = ||vec{m}||$
Both vectors are in the same direction as $vec{v}$ .
The magnitude of $vec{m}$ is twice that of $vec{n}$ .

Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5b

$||5vec{u}|| = 15$ , what is the value of

$||vec{u}|| ?$

3
5
10
Not enough information to determine.

Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5a

$-a \ vec{v} = <<-9,12>>$ and

$a \ vec{v} = <<9,-12>>$ , and

$a$ can be any real number (positive or negative), which of the following are possible values of

$vec{v} ?$ Choose all that apply.

$<<9,12>>$
$<<3,-4>>$
$<<-3,-4>>$
$<<-9,12>>$

Grade 11 Vectors CCSS: HSN-VM.B.5, HSN-VM.B.5a

$vec{n} = <<4,8>>$ , and

$a \ vec{n} = <<1,2>>$ , what is the value of

$a ?$

$4$
$1/4$
$1/2$
$2$

Previous Page 4 of 7 Next

Privacy Policy
Terms of Use
Test Maker

FREE Printable Worksheets
Common Core ELA Worksheets
Common Core Math Worksheets

Earn Badges x

You need to have at least 5 reputation to vote a question down. Learn How To Earn Badges.

Share/Like This Page

Filter By Grade

Browse Questions

Arithmetic and Number Concepts

Calculus

Function and Algebra Concepts

Absolute Value

Algebraic Expressions

Complex Numbers

Direct and Inverse Variation

Exponents

Functions and Relations

Inequalities

Linear Equations

Literal Equations

Logarithms

Matrices

Nonlinear Equations and Functions

Number Properties

Polynomials and Rational Expressions

Quadratic Equations and Expressions

Radicals

Sequences and Series

Systems of Equations

Vectors

Geometry and Measurement

Mathematical Process

Statistics and Probability Concepts

Trigonometry

Vectors Questions - All Grades