Question

Given r(3,7,-1), S(10,-4,0) find an ordered triple that represents RS and find the magnitude of RS. a.(5,-11,3), 3sqrt19 b.(7,-11,1), 3sqrt19 c.(5,-11,3), 7sqrt15 d.(7,-11,1), 7sqrt15

Answer 1

`|RS| = \sqrt[3]{19}`

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

`|RS| = √((7)^2 + (-11)^2 + (1)^2) \\\\ = √(49 + 121 + 1) \\\\ = √(121)\\\\ = \sqrt[3]{19}`