Two vectors each of magnitude F make angle 0° and 270° with x-axis. Their resultant is:
Correct answer: D. F√2
- A. 0
- B. 2F
- C. 2/F
- D. F√2
Explanation
This option D suggests that the magnitude of the resultant vector is F√2. This is a possibility since when you add two vectors at right angles to each other, the magnitude of the resultant vector is given by the square root of the sum of the squares of the magnitudes of the original vectors. In this case, if the vectors make angles of 0° and 270° with the x-axis, they are at right angles. Refer to the picture below
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About Addition of Vectors
Vector addition combines directed quantities using the head-to-tail, parallelogram and component methods. Work includes finding the resultant magnitude and direction for two or more vectors, resolving vectors into perpendicular components, and distinguishing vector addition from scalar addition, where direction has no role.
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