Respuesta :

Answer:

see explanation

Step-by-step explanation:

RS = s-r (s, r are the position vectors of R and S )

RS = (10, - 4, 0 ) - (3, 7, - 1) = (10 - 3, -4 - 7, 0 - (- 1)) = (7, - 11, 1 )

| RS | = [tex]\sqrt{7^2+(-11)^2+1^2}[/tex] = [tex]\sqrt{171}[/tex] = 3[tex]\sqrt{19}[/tex]

Answer:

[tex]| RS | =3\sqrt{19}[/tex]

Step-by-step explanation:

Given points are R ( 3 ,7, -1 ) and S (10 ,-4, 0)

The distance between R and S

RS = (10 ,-4, 0) - ( 3 ,7, -1 )

     = (10 - 3, -4 - 7, 0 - (- 1))

      = (7, - 11, 1 )

Magnitude is calculated as:

[tex]| RS | =\sqrt{(7)^{2} + (-11)^{2} + (1)^{2}}[/tex]

[tex]| RS | =\sqrt{49 + 121 + 1}[/tex]

[tex]| RS | =\sqrt{171}[/tex]

[tex]| RS | =3\sqrt{19}[/tex]

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