Question

A vector has co-ordinates $(1,1,2)$ for initial point and $(2,1,3)$ as the terminal point. The length of the vector is

• A. $\sqrt{2}$
• B. $\sqrt{34}$
• C. $2$
• D. $\sqrt{6}$

Answer 1

The correct option is A $\sqrt{2}$

Components of vector are $(2,1,3)-(1,1,2)=(1,0,1)$
Hence, the magnitude is: $\sqrt{(1^2+0^2+1^2)}=\sqrt{2}$