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Questions and Answers
Which method of adding vectors involves using the Pythagorean Theorem?
Which method of adding vectors involves using the Pythagorean Theorem?
- Trigonometry Method (correct)
- Component Method
- Parallelogram Method
- Polygon Method
What is the formula for finding the magnitude of the resultant vector using the components Rx and Ry?
What is the formula for finding the magnitude of the resultant vector using the components Rx and Ry?
- Ry = (Rx)^2 + (Ry)^2 (correct)
- Rx = Ax + Bx + Cx + ...
- Ry = Rx + Ry
- Ry = Ay + By + Cx + ...
In which quadrant can the angle θ be situated depending on the directions of the total components in x & y?
In which quadrant can the angle θ be situated depending on the directions of the total components in x & y?
- First Quadrant
- Second Quadrant
- Third Quadrant
- Fourth Quadrant (correct)
What is the purpose of the component method in adding vectors?
What is the purpose of the component method in adding vectors?
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Which method of adding vectors involves using the diagonal line of the parallelogram as the resultant?
Which method of adding vectors involves using the diagonal line of the parallelogram as the resultant?
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Study Notes
Vector Addition Methods
- The component method involves using the Pythagorean Theorem to add vectors.
Component Method Formula
- The formula for finding the magnitude of the resultant vector using the components Rx and Ry is: √(Rx² + Ry²)
Angle θ Quadrant
- The angle θ can be situated in any quadrant depending on the directions of the total components in x and y.
Purpose of Component Method
- The purpose of the component method is to add vectors by breaking them down into their horizontal and vertical components.
Parallelogram Method
- The parallelogram method involves using the diagonal line of the parallelogram as the resultant vector when adding vectors.
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