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physics question???please help?
could a vector ever be shorter than its components...why?
2 Answers
- anil bakshiLv 71 decade agoFavorite Answer
F = vector
F cos x
F sin x
are components for any angle
since sine and cosine are fractions LESS THAN ONE, components are always shorter than the vector
[x = 0 or 90, component = vector]
sine = perpendicular/hypotenuse
cosine = base/hypotenuse
hypotenuse > perpendicular or base
- Anonymous1 decade ago
No. Pathagorean theorem states a^2 + b^2 = c^2.
Since a vector's components always make a right triangle, that always applies.
a^2 + b^2 > c^2 is never true.
Source(s): Old, dead physics minds.
