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Q. Which one of the following pair cannot be the rectangular components of force vector of $10\, N$ ?

Motion in a Plane

Solution:

The vector magnitude $=\sqrt{A_{x^{2}}+A_{y^{2}}}$
Vector magnitude $=10$
But (4) option gives the magnitude
$\Rightarrow \sqrt{9^{2}+1^{2}}=\sqrt{82} \neq 10$
[by trial method check options]