Intersections of Line and Planes Part 2

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This lesson shows how to find intersections of lines and planes in Three-Space. This is the second part of a two part lesson. This lesson was created for the Calculus and Vectors (MCV4U) course in the province of Ontario, Canada.
  1. AlRichards314
  2. intersections
  3. lines
  4. planes
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Yes, you are correct. The method is proper for finding the shortest distance from a line to a plane. However, it's my example/question that leaves much to be desired. The line isn't parallel to the plane, so they would intersect somewhere. Thanks for showing me my error. I'll fix this when I get a chance.

AlRichards
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This is the video I have been searching for, thank you so much.

flynndixonmurdock
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You can also use the formula to get the distance from point P (x1, y1, z1) to the plane.
D = | ax1 + by1 + cz1 + d | / sqrt( a^2 + b^2 + c^2)

dantequ
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In Example 2, the dot product of the direction vector of the line and the normal vector of the plane is not equal to 0. So, how can there be there be the question of shortest distance? Wouldn't the shortest distance be equal to 0 since the line and plane should intersect at some point if their dot product is not equal to 0?
Thank you

harisrg