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Vector Components and Magnitude Concepts

Vector Components and Magnitude Concepts

Assessment

Interactive Video

Mathematics, Physics

9th - 12th Grade

Practice Problem

Hard

Created by

Sophia Harris

FREE Resource

The video tutorial explains vector A, starting with its visualization and moving to calculate its magnitude using the Pythagorean theorem. It then derives a unit vector in the same direction as vector A by scaling it down. Finally, it relates vector A to its magnitude and unit vector, demonstrating how these concepts interconnect.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the components of vector A?

(-5, 6)

(5, 6)

(-5, -6)

(5, -6)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you move on the coordinate plane to represent vector A?

5 up, 6 right

5 down, 6 left

5 right, 6 down

5 left, 6 up

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to calculate the magnitude of vector A?

a^2 - b^2 = c

a^2 + b^2 = c

a^2 - b^2 = c^2

a^2 + b^2 = c^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the magnitude of vector A?

√61

√36

√50

√25

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a unit vector?

A vector with magnitude 10

A vector with magnitude 5

A vector with magnitude 1

A vector with magnitude 0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find a unit vector in the direction of vector A?

Multiply by magnitude

Subtract magnitude

Divide by magnitude

Add magnitude

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the unit vector U derived from vector A?

(5/√61, -6/√61)

(5/√50, -6/√50)

(5/√36, -6/√36)

(5/√25, -6/√25)

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