Find the distance between the points `A(2,3,1)a n d\ B(-1,\ 2,\ -3)` , using vector method.

Explanation

`\vec(AB)=P \cdot V` of `B-P \cdot V\circ \hat{A}`


`\rightarrow\quad(-\hat{\i}+2 \hat{\i}-3 \hat{k})-(2 \hat{\i}+3 \hat{\i}+\hat{k})`


`\rightarrow \quad-\hat{\i}+2 \hat{\i}-3 \hat{k}-2 \hat{\i}-3 \hat{\i}-\hat{k}`


`\rightarrow \quad-3 \hat{\i}-\hat{\i}-4 \hat{k}`


`\rightarrow|{AB}|=\sqrt{(9)+(1)+(16)}`
`=\sqrt{26}`