Skip to main content

My Courses

Chemistry

Biology

Physics

Math

Social Sciences

Health Sciences

Business

Product & Marketing

Programming

Calculators AI Tools Study Prep Blog Study Prep Home

My CourseLearnExam PrepAI TutorTextbook SolutionsFlashcardsExplore

My Course
Learn
Exam Prep
AI Tutor
Textbook Solutions
Flashcards
Explore

Table of contents

Skip topic navigation

0. Math Review31m
- Math Review
  31m
1. Intro to Physics Units1h 29m
2. 1D Motion / Kinematics3h 56m
3. Vectors2h 43m
4. 2D Kinematics1h 42m
5. Projectile Motion3h 6m
6. Intro to Forces (Dynamics)3h 22m
7. Friction, Inclines, Systems2h 44m
8. Centripetal Forces & Gravitation7h 26m
9. Work & Energy1h 59m
10. Conservation of Energy2h 54m
11. Momentum & Impulse3h 40m
12. Rotational Kinematics2h 59m
13. Rotational Inertia & Energy7h 4m
14. Torque & Rotational Dynamics2h 5m
15. Rotational Equilibrium3h 39m
16. Angular Momentum3h 6m
17. Periodic Motion2h 9m
18. Waves & Sound3h 40m
19. Fluid Mechanics4h 27m
20. Heat and Temperature3h 7m
21. Kinetic Theory of Ideal Gases1h 50m
22. The First Law of Thermodynamics1h 26m
23. The Second Law of Thermodynamics3h 11m
24. Electric Force & Field; Gauss' Law3h 42m
25. Electric Potential1h 51m
26. Capacitors & Dielectrics2h 2m
27. Resistors & DC Circuits3h 8m
28. Magnetic Fields and Forces2h 23m
29. Sources of Magnetic Field2h 30m
30. Induction and Inductance3h 38m
31. Alternating Current2h 37m
32. Electromagnetic Waves2h 14m
33. Geometric Optics2h 57m
34. Wave Optics1h 15m
35. Special Relativity2h 10m

3. Vectors

Unit Vectors

Previous problemNext problem

Struggling with Physics?

Join thousands of students who trust us to help them ace their exams!Watch the first video

2:02 minutes

Open Question

Let E = 2i + 3j and F = 2i - 2j. Find the magnitude of (a) E and F

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above

Video duration:

2m

Play a video:

Was this helpful?

Previous problemNext problem

Watch next

Master Unit Vectors with a bite sized video explanation from Patrick

Related Videos

Related Practice

A cannonball leaves the barrel with velocity v = (75î ＋ 45ĵ). At what angle is the barrel tilted above horizontal?

The position of a particle as a function of time is given by 𝓇 = ( 5.0î ＋4.0ĵ )t² m where t is in seconds.c. What is the particle's speed at t = 0, 2, and 5 s?

The position of a particle as a function of time is given by 𝓇 = ( 5.0î ＋4.0ĵ )t² m where t is in seconds.b. Find an expression for the particle's velocity v as a function of time.

The position of a particle as a function of time is given by 𝓇 = ( 5.0î ＋4.0ĵ )t² m where t is in seconds.a. What is the particle's distance from the origin at t = 0, 2, and 5 s?

Find a vector that points in the same direction as the vector ( î ＋ ĵ ) and whose magnitude is 1.

(II) Let V₁ (→ above V₁) = ― 6.0 î + 8.0 ĵ and V₂ (→ above V₂) = ― 4.5 î ― 5.0 ĵ. Determine the magnitude and direction of

(c) V₁ (→ above V₁) + V₂ (→ above V₂), and

FIGURE EX3.19 shows vectors A and B. What is C = A + B? Write your answer in component form using unit vectors

(II) Let V₁ (→ above V₁) = ― 6.0 î + 8.0 ĵ and V₂ (→ above V₂) = ― 4.5 î ― 5.0 ĵ. Determine the magnitude and direction of

(c) V₁ (→ above V₁) + V₂ (→ above V₂), and

Show more practices

Unit Vectors practice set

Problem sets built by lead tutors

Expert video explanations

Download the Mobile app

Do not sell my personal information

© 1996–2025 Pearson All rights reserved.