M mathfun Junior Member Joined Dec 26, 2005 Messages 89 Oct 22, 2006 #1 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?
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 Elite Member Joined Jan 29, 2005 Messages 11,978 Oct 22, 2006 #2 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.
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.
