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Resultant Vector- sum of two or more vectors

Steps in Finding the Resultant Vector Using Graphical Method

1. Get the vectors.
2. Know the appropriate scale to be used. Be sure you are familiar with conversions or else you will get a wrong answer.
3. At any point on the paper, start graphing the first vector starting on its origin
4. Then draw the second vector starting at the arrowhead of the first vector
5. Repeat # 4 as many as the given vectors
6. After the last vector has been drawn, connect the arrowhead of the last vector to the origin or the tail of the first vector. You now get the resultant vector.
7. But be sure you convert the answer using the conversions you made previously.
8. GENERAL RULE: Watch your accuracy and give the outmost care in measuring in order to obtain the correct answer.

Steps in Finding the Resultant Vector usng Component Method

If you find hard time in getting the resultant vector using the graphical method, component method is an easier one if you know how to deal with Trigonometric Functions and Pythagorean Theorem

1. Use table in order to show vectors and its component.
2. in determining the component of the vector, use the SOH CAH TOA. Keep in mind that the x-axis to the left is negative, and the y-axis to the lower portion is also negative.
3. After getting the components of the entire vector, get the sum of all the x components of the vectors and so for y components.
Rx= Ax +Bx…. + Nx
Ry= Ax + Bx… + Nx
4. In getting the magnitude, use the Pythagorean Theorem by getting the square root of the sum of the square of x and y component
5. In getting the direction, use inverse tangent times the sum of the y- component divided by the sum of the x-component.

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