Vectors - Perpendicular Projection and Reflection in a Line

Vectors - Perpendicular Projection and Reflection in a Line

Relationships Between

Essential Skills Checklist

A point and a line

☐ Shortest distance of the point to the line

☐ Foot of perpendicular

☐ Mirror image of a point in a line

A line segment and a line

☐ Length of projection of a line segment on a line

\(2\) parallel lines

☐ Perpendicular distance between \(2\) parallel lines

\(2\) Intersecting Lines

☐ Point of intersection

☐ Angle between \(2\) intersecting lines

☐ Mirror image of a line in another line

\(2\) skew Lines

☐ Angle between them

A point and a plane

☐ Deduce a random point on plane

☐ Shortest distance of point to plane

☐ Foot of perpendicular on the plane

The origin and a plane

☐ Equations of planes which contains the origin

☐ \(x-y\) , \(y-z\) and \(x-z\) planes

☐ Shortest distance of origin to the plane

Line segment and a plane

☐ Length of projection of line segment to the plane

Line and a plane

☐ Point of intersection

☐ Angle between the line and plane

☐ Mirror Image of line in plane

\(2\) Intersecting Planes

☐ Equation of intersecting line without using GC

☐ Equation of intersecting line by using GC

☐ Angle between the planes

\(2\) Parallel Planes

☐ Distance between \(2\) parallel planes

☐ Finding equations of planes a fixed distance away from another parallel plane

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