Question on: SS1 Physics - Scalar And Vector Quantities
When two vectors are added, the resultant vector is maximum when:
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A
The two vectors have the same direction.
B
The two vectors have opposite directions.
C
The two vectors are perpendicular to each other.
D
The two vectors have different magnitudes.
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Correct Option: C
The resultant vector of two vectors is maximum when the vectors are in the same direction. This is because the magnitudes of the vectors add directly.
- A. Same direction: If two vectors act in the same direction, their magnitudes add up, resulting in the maximum possible magnitude for the resultant vector.
- B. Opposite directions: If the two vectors are in opposite directions, the magnitudes subtract, leading to the minimum or zero magnitude of the resultant.
- C. Perpendicular: When the vectors are perpendicular, the resultant's magnitude is found using the Pythagorean theorem, and is not maximum.
- D. Different magnitudes: This statement describes the vectors but doesn't specify their directions. The maximum resultant is still achieved when vectors of differing magnitudes are in the same direction.
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