## point line and the distance

1. The problem statement, all variables and given/known data
$$x=4-t, y=3+2t, z=-5+3t (-\nfty<t<\infty)$$

2. find the distance between the point (3, 1, -2) and the plane $$x+2y-2z=4$$

3 find the principle unit notmal N, the curvature , and the radius of curvature for the plane curve $$r(t)=ti+(sint)j$$

2. Relevant equations

3. The attempt at a solution
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 Blog Entries: 1 Recognitions: Gold Member Homework Help Show your attempt.
 Recognitions: Gold Member Science Advisor Staff Emeritus If we won't even try, we have no idea what methods would be appropriate! Most calculus textbooks give FORMULAS for "distance to a line" and "distance to a plane". Can you use them? Do you know how to find the line, through a point, perpendicular to a given point? Do you know how to find the line, through a point, perpendicular to a given plane? Do you understand why those would be useful for this problem?

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