Using the polygon method of vector addition, calculate the resultant of the following three vectors. The reference direction is vertical with angles measured in a clockwise direction.
A = 3 units, 40°
B = 6 units, 150°
C = 2 units, 70°
Please follow the steps carefully, in the order given.
Step 1: First indicate the reference direction and the scale: |
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Step 2: Draw a light pencil line parallel to the reference direction at the start of vector A, i.e, the point 0. |
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Step 3: Using a protractor, measure an angle of 40° clockwise from this line and draw a line 3 cm long (equivalent to 3 units) in this direction from the point 0. Label vector A and indicate its direction: |
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Step 4: Draw another light pencil line parallel to the reference direction through the terminal point of vector A. Using a protractor, measure an angle of 150° from this line and draw a line 6 cm long from the terminal point of vector A. Label vector B and indicate its direction: |
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Step 5: Draw another light pencil line parallel to the reference direction through the terminal point of vector B. Using a protractor, measure an angle of 70° from this line and draw a line 2 cm long from the terminal point of vector B. Label vector C and indicate its direction: |
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Step 6: Join point 0 to the terminal point of vector C. This represents the resultant R. |
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| Step 7: Measure the length and direction of R. | ![]() |