Question

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

(1) 6 N & 8 N
(2) 7 N & sqrt(51)
(3) 6sqrt(2) & 2sqrt(7)
(4) 9 N & 1 N

Now we are not given the value of angle between the vectors so how we can get the probable value of vectors?

Answer 1

The rectangular components $a_x$ and $a_y$ of a vector $\vec{a}$ are such that

$|\vec{a} |^2=a_x^2+a_y^2$.

Here $|\vec{a} |^2=10^2=100$

1)$a_x=8,a_y=6$ are rectangular components since $8^2+6^2=100$.

2) $a_x=7,a_y=\sqrt{51}$ are rectangular components since $7^2+51=100$.

3) $a_x=6\sqrt{2},a_y=7\sqrt{2}$ are rectangular components since $(6\sqrt{2})^2+(7\sqrt{2})^2 =100$.

4) $a_x=9,a_y=1$ are not rectangular components since $9^2+1^2 \neq 100$.

Correct choice is (4).

Answer 2

Answer: 4th option

Explanation:

The correct option is 9N and 1N

which is option number 4.