Question

Distance between a Line and a Parallel Plane.

Answer 1

easy peasy

Answer 2

the only thing that would help out more is to actually have some sort of information to go on ....

Answer 3

take any point of the line, and use formula for the distance between a point and the plane

Answer 4

I can use any line and plane i come up with. But i am not sure how to make thje coefficents so they are parllel

Answer 5

create a dot product of zero to establish a normal for the plane

Answer 6

Is this a Euclidean Geometry class (normal Cartesian coordinate system)?

Answer 7

if the line and the plane are parallel it means that the dot product of the normal of the plane and the direction vector of the line is equal to zero...

Answer 8

x=px+at
y=py+bt
z=pz+ct

<a,b,c>
<q,r,s>
-------
aq+br+cs=0 therefore:

q(x-n1) +r(y-n2) +s(z-n3) = 0 is parallel to the line

Answer 9

so lets say I pick the plane to be 2x+4y+6z = 0. Then I would use <2, 4, 6> as my normal? and the direction vector would be??

Answer 10

pick two points in your plane and create a vector with them

Answer 11

that way you know its parallel to the plane

Answer 12

then aanchor that to a point NOT on the plane :)

Answer 13

OK that is your normal, and you read the vector from the equation of the line...