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Q1. Can the rectangular component of the vector be greater than vector itself?
Автор: The Mental Educator
Загружено: 2022-11-09
Просмотров: 508
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Q1. Can the rectangular component of the vector be greater than vector itself?
Ans. No, the magnitude of rectangular components cannot be greater than the magnitude of vector itself.
Reason:
In the given figure, “Fx” and “Fy” represents the rectangular components of a vector “F” which is given by:
Fx = Fcosθ (i)
And Fy = Fsinθ (ii)
As the values of sinθ and cosθ may be equal to “1” but cannot be greater than”1”. So, according to eq (i) and (ii), “Fx” and “Fy” may be equal to “F” or will be less than “F” but cannot be greater than “F”.
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