SOLUTION: Find points on the line with parametric equations x=2-t,y=3+2t and z=1+t which are 5√3 units from the point(1,0,-2)

Question 1130911: Find points on the line with parametric equations x=2-t,y=3+2t and z=1+t which are 5√3 units from the point(1,0,-2)
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

We want the square of the distance between (2-t,3+2t,1+t) and (1,0,-2) to be (5*sqrt(3))^2 = 75:

or

(a) if t=2, then (2-t,3+2t,1+t)=(0,7,3)
(b) if t = -14/3, then (2-t,3+2t,1+t) = (20/3,-19/3,-11/3)

ANSWERS: the two points on the line with the given parametric equations that are a distance of 5*sqrt(3) from (1,0,-2) are (0,7,3) and (20/3,-19/3,-11/3).
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SOLUTION: Find points on the line with parametric equations x=2-t,y=3+2t and z=1+t which are 5&#8730;3 units from the point(1,0,-2)

SOLUTION: Find points on the line with parametric equations x=2-t,y=3+2t and z=1+t which are 5√3 units from the point(1,0,-2)