Steps in finding the RESULTANT VECTOR

A RESULTANT VECTOR is the vector whose effect is the same as all of the component vectors put together.

Graphical method

1. Have a scale your going to use. Ex. 1 cm= 1 meter.

2. Using a ruler and a protractor, draw the component vectors.

3. Connect the vectors one aftre the other with the head of the first vector to the head of the last vector.

4. Using a ruler to measure the resultant vector and a protractor, you can now it's magnitude and direction.

Component Method

1. Resolve each vector into it's x- and y- components.

2. Add all the x-components together.

3. Add all the y-components together.

4. The resultant magnitude will be the result of the Pythagorean Theorem.

5. The resultant angle will be the inverse tangent of the x- and y-components.

Remember:

If the vector lies

a. In the first quadrant, it is both positive in the x and y-axis.

b. In the second quadrant, it is negative in the x-axis and positive in the y-axis.

c. In the third quadrant, it is both negative in the x and y-axis.

d. In the fourth quadrant, it is positive in the x-axis and negative in the y-axis.

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