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Oerg
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If i were to say: Map vector A onto line l
would that mean the projection of A onto l or the rotation of A onto l?
would that mean the projection of A onto l or the rotation of A onto l?
Mapping vector A onto line l means finding the projection of vector A onto line l. This involves finding a vector that is parallel to line l and has the same direction as vector A.
The projection of vector A onto line l can be calculated using the dot product formula: projlA = (A · ⅼ) * ⅼ, where ⅼ is a unit vector parallel to line l.
The projection of vector A onto line l represents the component of vector A that lies along line l. It can also be thought of as the shadow of vector A cast onto line l.
Yes, the projection of vector A onto line l can be negative if vector A and line l are pointing in opposite directions.
The projection of vector A onto line l can be useful in various applications, such as computer graphics and physics, where it is used to determine the magnitude of a vector in a specific direction. It can also be used to solve problems involving vectors and lines, such as finding the shortest distance between a point and a line.