Answer:
[tex]|RS| = \sqrt[3]{19}[/tex]
Step-by-step explanation:
The computation of the magnitude is shown below:
Data provided in the question
Given points
R(3,7,-1), S(10,-4,0)
Now the distance lies between R and S
RS = (10 ,-4, 0) - ( 3 ,7, -1 )
= (10 - 3, -4 - 7, 0 - (- 1))
= (7, - 11, 1 )
After that, the magnitude is determined by using the following calculation part
[tex]|RS| = \sqrt{(7)^2 + (-11)^2 + (1)^2} \\\\ = \sqrt{49 + 121 + 1} \\\\ = \sqrt{121}\\\\ = \sqrt[3]{19}[/tex]
