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Point line and the distance

  • #1

Homework Statement


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]


Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
dx
Homework Helper
Gold Member
2,011
18
Show your attempt.
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
41,793
922
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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