For this case we must find the distance between the following points:
[tex](x_ {1}, y_ {1}, z_ {1}) = (4, -4, -2)\\(x_ {2}, y_ {2}, z_ {2}} = (5, -6, 4)[/tex]
The formula is given by:
[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2+ (z_ {2} -z_ {1}) ^ 2}\\d = \sqrt {(5-4) ^ 2 + (- 6 - (- 4)) ^ 2+ (4 - (- 2)) ^ 2}\\d = \sqrt {(1) ^ 2 + (- 6 + 4) ^ 2 + (4 + 2) ^ 2}\\d = \sqrt {(1) ^ 2 + (- 2) ^ 2 + (6) ^ 2}\\d = \sqrt {1 + 4 + 36}\\d = \sqrt {41}[/tex]
The answer is not within the options.
ANswer:
[tex]d = \sqrt {41}[/tex]
