point line and the distance

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
[tex]x=4-t, y=3+2t, z=-5+3t (-\nfty<t<\infty)[/tex]

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

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


2. Relevant equations



3. The attempt at a solution

dx

Show your attempt.

HallsofIvy

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?