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EvaBugs
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To find the point of intersection of two lines, do I use the same method as in finding the intersection of a line and a plane?
neurocomp2003 said:ooh a graphics question...sorry i can't remember the solution off the top of my head its in my graphics book but assuming you no that the 2 lines intersect then the solution
evolves using the parametrics
aight i go get the book...
This ist he distance between 2 lines: obviously if there is an intersection
then d=0 but the solution points still hold true to what your looking for
|t1| = |V1.V1 ,-V1.V2|^-1 * |(P2-P1).V1|
|t2|... |V1.V2 ,-v2.v2|...|(P2-P1).V2|
hope this doesn't look ugly
t1,t2 will give you the parametric solution plug into one and you get your point.
EvaBugs said:Should I find the line that is the cross-product of the normal vectors?
To find the intersection point of two lines, you can use the method of substitution or elimination. First, set the equations of the two lines equal to each other and solve for one variable. Then, substitute this value into the other equation to find the corresponding value for the other variable. This will give you the coordinates of the intersection point.
The equation for the intersection of a line and a plane is the solution to the system of equations formed by the equation of the line and the equation of the plane. This can be found by substituting the values of the line's variables into the plane's equation and solving for the remaining variable.
A line will intersect with a plane if their equations are consistent, meaning they have at least one solution when solved simultaneously. This can be determined by checking if the coefficients of the variables in both equations are proportional or not. If they are not proportional, then the line and plane will intersect at a single point.
No, a line and a plane can only intersect at one point. This is because a line is one-dimensional and can only have one point of intersection with a two-dimensional plane.
To find the intersection point of two planes, you can use the method of substitution or elimination. First, set the equations of the two planes equal to each other and solve for one variable. Then, substitute this value into the other equation to find the corresponding values for the remaining variables. This will give you the coordinates of the intersection point.