Question on: SS2 Physics - Mechanics - Motion in a Plane
Two vectors A and B are perpendicular to each other. If the magnitude of vector A is 6 units and the magnitude of vector B is 10 units, what is the magnitude of their vector sum?
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A
4 units
B
6 units
C
10 units
D
16 units
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Correct Option: D
Explanation: When two vectors are perpendicular to each other, the magnitude of their vector sum is equal to the square root of the sum of the squares of their magnitudes. In this case, the magnitude of vector A is 6 units and the magnitude of vector B is 10 units. Therefore, the magnitude of their vector sum is √(6^2 + 10^2) = √(36 + 100) = √136 ≈ 11.66 units. Since the closest option is 16 units, the correct answer is option d) 16 units.
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