when we have the coordinates of two points, and that we want to calculate the distance between them, we do the following:
1-calculate the victor that links the two points ( in this case MZ )
2-we calcutate the magnitude of the vector MZ
\(MZ= \begin{pmatrix} -1-6\\ 14-16 \end{pmatrix} = \begin{pmatrix} -7\\ -2 \end{pmatrix}\) this is the vector MZ
Now its magnitude:
\(MZ = \sqrt{(-7)²+(-2)²}=\sqrt{53} = 7.2801..=7.3\)
d = √ [ -1 - 6)^2 + ( 16 - 14 )^2 ] = √ [ ( - 7)^2 + ( 2 )^2 ] = √ [49 + 4] = √ 53 ≈ 7.3
when we have the coordinates of two points, and that we want to calculate the distance between them, we do the following:
1-calculate the victor that links the two points ( in this case MZ )
2-we calcutate the magnitude of the vector MZ
\(MZ= \begin{pmatrix} -1-6\\ 14-16 \end{pmatrix} = \begin{pmatrix} -7\\ -2 \end{pmatrix}\) this is the vector MZ
Now its magnitude:
\(MZ = \sqrt{(-7)²+(-2)²}=\sqrt{53} = 7.2801..=7.3\)