Transcription of Projections - Ryerson University
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Projections - Ryerson University
Projections P. Danziger 1 Components and Projections . A. A `. A `.. A . u A A v `. `. A .. projv u Given two vectors u and v, we can ask how far we will go in the direction of v when we travel along u. The distance we travel in the direction of v, while traversing u is called the component of u with respect to v and is denoted compv u. The vector parallel to v, with magnitude compv u, in the direction of v is called the projection of u onto v and is denoted projv u. So, compv u = ||projv u||. Note projv u is a vector and compv u is a scalar. From the picture compv u = ||u|| cos . We wish to find a formula for the projection of u onto v.
1 Components and Projections proj u v A A A A A A ‘‘ A ‘‘ vu Given two vectors u and v, we can ask how far we will go in the direction of v when we travel along u. The distance we travel in the direction of v, while traversing u is called the component of uwith respect to v and is denoted comp vu. The vector parallel to v, with ...
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