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

Question

Which one of the following pair cannot be the rectangular components of force vector of 10 N ? (A) 6 N 8 N (B) 7 N √51 N (C) 6 √2 N 2 √7 N (D) 9 N 1 N

Tardigrade Admin · Accepted Answer

The vector magnitude =√Ax2+Ay2 Vector magnitude =10 But (4) option gives the magnitude ⇒ √92+12=√82 ≠ 10 [by trial method check options]

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

$6 N & 8 N$

$7 N & 51 N$

$62 N &2 7 N$

$9 N &1 N$

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

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

6N&8N

7N&51​N

62​N&27​N

9N&1N