G A3.1 - Vectors

Get the Formative Assessment: FA03.1.pdf

This assessment covers these video flips:

3A. Learn what a vector is, and what types we will use.
3B. Learn how to find vector components.
3C. Learn how to add two vector component vectors.
3D. Learn how to draw vector component vectors, and calculate an angle and a magnitude
3E. Add two angle magnitude vectors.

The Formative Assessment solved:

1-5. (To grade your FA, you will need to go to the very end of the video below. Pay careful attention to the drawing, make sure you have used arrows, and labeled an angle and the magnitude the same way I have in the video)

Another Example

Another

Help with the Quizlette:

B. Find these vector Components:

1.

2.

3.

4.

5.

6.

C. Add these component vectors:

A: 12 m x + 34 m y

B: 16 m x + 9.0 m y

A+ B:

28 m x + 43 m y <Video>

A: 3.60 m x + -5.60 m y

B: 12.5 m x + 8.10 m y

A+ B:

16.1 m x + 2.50 m y <Video>

A: 1.20 m x + 3.10 m y

B: -5.30 m x + 1.30 m y

A+ B:

-4.1 m x + 4.4 m y <Video>

A: 12.6 m x + 58.1 m y

B: 16.5 m x + -96.0 m y

A+ B:

29.1 m x + -37.9 m y <Video>

D. Draw these vectors as Angle Magnitude vectors.

The vector should be an arrow, and calculate and label its magnitude (hypotenuse) and the angle:

1) 6.00 m x + 8.00 m y

2) -4.50 m x + 6.40 m y

3) -5.12 m x + -3.90 m y

4) 56.3 m x + -37.0 m y

E1: Adding two Angle Magnitude Vectors

E2: Adding two Angle Magnitude Vectors

The Instruction for this unit:

What Components are, and how to write them:

4:46 SOHCAHTOA Components Part I

How to find the lengths using sin and cos: SOHCAHTOA!

10:52 SOHCAHTOA Components Part II

Many Examples:

SOHCAHTOA Components Example 1

SOHCAHTOA Components Example 2

SOHCAHTOA Components Example 3

SOHCAHTOA Components Example 4

SOHCAHTOA Components Example 5

SOHCAHTOA Components Example 6

SOHCAHTOA Components Example 7

SOHCAHTOA Components Example 8

How to do components without using trig angles:

Finding Vector Components

Vector Components Example 1

Vector Components Example 2

Vector Components Example 3

Vector Components Example 4

Vector Components Example 5

Adding two component vectors:

Adding Vector Components

Adding Vector Components Example 1

Adding Vector Components Example 2

Adding Vector Components Example 3

Adding Vector Components Example 4

Turning components back into angle magnitude:

Finding Angle Magnitude Vectors

Angle Mag Vectors Example 1

Angle Mag Vectors Example 2

Angle Mag Vectors Example 3

Angle Mag Vectors Example 4

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