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Vector Addition

Vector Addition by Parallelogram

Given vector C = 120 magnitude and angle is 0 degree and vector B = 100 magnitude and angle is 60 degree.

C = 120 ∠ 0 °
B = 100 ∠ 60 °
In electrical engineering the usual given information is in phasor designation. Parallelogram method was shown here for explanation of fundamental principle.

But there is now a modern tool to explain the same concept using graphical tools like desmos grahing. Why use the modern tool? Because with parallelogram method, the angle measured in degree from reference angle 0 ° is not easy to compute. With modern tool you can easily compute the angle from reference.

Figure 1

Figure 2

Refer to Figure 1. The resultant vector is side "a". Given vectors are side "b" and side "c". The derived internal angle is 120 ° The calculator below is modified version of cosine law as shown by above equation to make calculation easy to use by simply entering the given data. The modification is simply changing the negative sign to positive sign on cosine 60 equation part to compensate for using cosine 120 degree, which is -0.5

Figure 2 compare the solution adding two vectors using rectangular coordinate and polar coordinate.

Cosine law gives you magnitude answer but not the angle from reference.

Modern solution of adding two vectors instead of parallelogram method:

Given vector A = 120 magnitude and angle is 0 degree and vector B = 100 magnitude and angle is 60 degree. In electrical engineering the usual given information is in phasor designation.

A = 120 ∠ 0 ° Vector A orange color graph in polar form
B = 100 ∠ 60 ° Vector B blue color graph in polar form
C = Red color is the answer, the resultant of adding two vectors given in phasor notation. The answer is express in rectangular form.

To edit this desmos graph go to the lower right corner shown below and click the link.

Shown below is the solution in rectangular coordinate form. Click here to convert in polar form.

Figure 1 - Simulation
Click desmos lower right hand side.

Shown below are example application of vector addition in actual work environment as an electrical power engineer.

Figure 2 - Simulation
Click desmos lower right hand side.

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How can IN-V-BAT-AI be used in classrooms ?

The IN-V-BAT-AI solution can be a valuable tool in classrooms, enhancing both teaching and learning experience. Here are some ways it can be utilized:

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⋆ Stress Reduction : By alleviating the pressure of memorization, students can focus on understanding and applying concepts, fostering a deeper engagement with the material.

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