Question

distance AB between the points A (2,3,4) and B (-5,6,7) is given by :​ mcqs

Answer 1

$AB = \sqrt{67}$

Explanation:

$Given, \: \: A (2,3,4) \: \: \: and \: \: \: B (-5,6,7) \\ we \: \: know \: \: \boxed{ AB = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} + (z_{2} - z_{1})^{2} } } \\ Now, \: \: \: putting \: \: values \\ AB = \sqrt{( - 5 - 2)^{2} + (6 - 3)^{2} + (7 - 4)^{2} } \\ = \sqrt{( - 7)^{2} + (3)^{2} + (3)^{2} } \\ = \sqrt{49 + 9 + 9} \\ = \boxed{ \sqrt{67} }$