parametric equations with 3D

[mathfun]

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

anybody can solve for me?

 

[pka]

Solve \(\displaystyle \sqrt {\left[ {1 - \left( {2 - t} \right)} \right]^2 + \left[ {0 - \left( {3 + 2t} \right)} \right]^2 + \left[ { - 2 - \left( {1 + t} \right)} \right]^2 } = 5\sqrt 3 .\)

Use the values of t to find the points.