# Point line and the distance

1. May 13, 2008

### mercedesbenz

1. The problem statement, all variables and given/known data
1. please help me find the distance from the point (0, 0 ,0) to the line
$$x=4-t, y=3+2t, z=-5+3t (-\nfty<t<\infty)$$

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

2. May 13, 2008

### dx

Show your attempt.

3. May 13, 2008

### HallsofIvy

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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