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Component of vector A along the direction of B. A. Project A onto B: Drop perpendiculars to B. This component is positive. B. A. This component is negative. B. Sometimes only one perpendicular needs be dropped:. A. B. Weight of object on an incline. Choose B to point down incline. B.

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### Component of vector A along the direction of B

A

Project A onto B:

Drop perpendiculars to B

This component is positive

B

A

This component is negative

B

A

B

Weight of object on an incline

Choose B to point down incline

B

A

A

5

Component = +5

B

5

B

A

Component = -3

3

3

A

Component = 0

B

y

A

Ay

x

Ax

A

1. Make component part of a triangle containing A

5

2. Identify an angle in the triangle

x

3. Use trig to find length of component: sine or cosine?

Length of component =5cos30°=5×0.866=4.33

X-Component = - 4.33

A

1. Make component part of a triangle containing A

5

2. Identify an angle in the triangle

5

x

3. Use trig to find length of component: sine or cosine?

Opposite. Therefore sine.

Length of component =5sin60°=5×0.866=4.33

X-Component = - 4.33

y

Cx=Ax+Bx

B

C=A+B

A

Cy=Ay+By

x

Cx

Bx

Ax

y

Ay=-4

Ax=3

1. Draw x and y axis

2. Go 4 units in positive

x direction

3

x

θ

3, Then go 3 units in

negative y direction

4

A

4. Join origin to end point