If the extremities of a diagonal of a square | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the side of the square be $a$.The length of the diagonal $d$ of a square with side $a$ is given by $d = a\sqrt{2}$.The distance between the tw

Vedclass · Accepted Answer

$\sqrt{3}$

Vedclass · Answer

(B) Let the side of the square be $a$.The length of the diagonal $d$ of a square with side $a$ is given by $d = a\sqrt{2}$.The distance between the two given points $(1, -2, 3)$ and $(2, -3, 5)$ is the length of the diagonal $d$.$d = \sqrt{(2-1)^2 + (-3 - (-2))^2 + (5-3)^2}$$d = \sqrt{(1)^2 + (-1)^2 + (2)^2}$$d = \sqrt{1 + 1 + 4} = \sqrt{6}$Since $d = a\sqrt{2}$, we have:$a\sqrt{2} = \sqrt{6}$$a = \frac{\sqrt{6}}{\sqrt{2}} = \sqrt{3}$Therefore, the length of the side of the square is $\sqrt{3}$.

If the extremities of a diagonal of a square are $(1, -2, 3)$ and $(2, -3, 5)$, then the length of its side is

Similar Questions

Which one of the following is most effective in causing the coagulation of an $As_2S_3$ sol?

If $a = i + j + k$,$b = i + j$,$c = i$ and $(a \times b) \times c = \lambda a + \mu b$,then $\lambda + \mu = $

Which of the following is the correct formula for the given polymer?

The correct order of reactivity of $PhMgBr$ with: $(I)$ $Ph-CO-Ph$,$(II)$ $CH_3-CHO$,$(III)$ $CH_3-CO-CH_3$ is:

$A$ $500\,\mu F$ capacitor is charged at a steady rate of $100\,\mu C/s$. The potential difference across the capacitor will be $10\,V$ after an interval of $......\,s$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module