Which one of following pair cannot be rectangular components of force vector of 10 ,N ?

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3-1.Vectors

easy

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

A

$6 \,N$ and $8 \,N$

B

$7 \,N$ and $\sqrt{51} \,N$

C

$6 \sqrt{2} \,N$ and $2 \sqrt{7} \,N$

D

$9 \,N$ and $1 \,N$

Solution

(d)

The vector magnitude $=\sqrt{A_{x^2}+A_{y^2}}$

Vector magnitude $=10$

But $(d)$ option gives the magnitude

$\Rightarrow \sqrt{9^2+1^2}=\sqrt{82} \neq 10$

[by trial method check options]

Standard 11

Physics

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