How to write a vector in three different forms

How to write a vector in three different forms

Assessment

Interactive Video

•

Mathematics

•

11th Grade - University

•

Practice Problem

•

Hard

Created by

Wayground Content

FREE Resource

The video tutorial reviews vector concepts, including component form, magnitude, and angle. It introduces unit vectors, explaining their properties and how to derive them. The tutorial explores different vector forms, such as component and magnitude-direction forms, and explains how to use linear combinations to represent vectors. The session emphasizes understanding vector properties and transformations.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the component form of a vector that starts at the origin and ends at the point (4, 3)?

(0, 0)

(4, 3)

(3, 4)

(4, 0)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the magnitude of a vector related to the Pythagorean theorem?

It is the product of the components.

It is the difference between the components.

It is the sum of the components.

It is the square root of the sum of the squares of the components.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the magnitude of a unit vector?

0

3

2

1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert a vector into a unit vector?

Multiply by its magnitude.

Divide by its magnitude.

Subtract its components.

Add its components.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angle of a vector with components (4, 3) using the tangent formula?

60 degrees

36.87 degrees

30 degrees

45 degrees

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you represent a vector on the unit circle?

Using its angle and magnitude.

Using its components only.

Using its direction only.

Using its magnitude only.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to a vector when it is multiplied by a scalar?

Its components are subtracted.

Its components are added.

Its direction changes.

Its magnitude changes.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?