find the image of line with respect to plane
Answers
Step-by-step explanation:
Consider the 2 points P and Q. Let π be a plane such that
There exists a perpendicular line PQ to the plane π.
The midpoint of PQ is on the plane π. Then, the image of the point is either of the points to one another in the plane π. The procedure to find the image of a point in a given plane is as follows:
The equations of the normal to the given plane and the line passing through the point P are written as \frac{x-x_1}{a} = \frac{y-y_1}{b} = \frac{z-z_1}{c}
a
x−x
1
=
b
y−y
1
=
c
z−z
1
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The reflection of a line must be a line.
A line can be defined by any two points on it.
If we can find the reflection of one point, the same method can be.
The line joining a point and its image (reflection) will be normal.
To find the normal to a plane we can take the cross product of any.