When adding multiple two-dimension displacement vectors, which of the following methods is most appropriate to accurately determine the total displacement? (K)
Question 7 options:
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scale model diagram |
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magnitude adding method |
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vector component method |
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trigonometric method |
The answer is C. vector component method.
The vector component method is the most accurate way to add multiple two-dimensional displacement vectors. It works by resolving each vector into its x- and y-components, adding the x-components and the y-components separately, and then combining the resultant x- and y-components to find the total displacement vector.
The other methods are less accurate, especially when adding a large number of vectors. For example, the scale model diagram method can be inaccurate due to errors in drawing and measuring. The magnitude adding method can be inaccurate because it does not take into account the direction of the vectors. And the trigonometric method can be inaccurate because it is difficult to measure the angles of the vectors accurate.
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