Question

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

• A. $\sqrt{6}$
• B. $\sqrt{3}$
• C. $\sqrt{5}$
• D. $\sqrt{7}$

Answer 1

Answer: (B)

$\sqrt{3}$

The extremities of a diagonal of a square are given by $(1,-2,3)$ and $(2,-3,5)$.
The length of this diagonal will be given by $\sqrt{(1^2+1^2+2^2)}=\sqrt{6}$
Length of a side $\times \sqrt{2}=$ Length of diagonal
So, the length of the side of the square will be given by $=\sqrt{3}$