The orthogonal projection of n 2 on line C through the
Chapter , Problem 69(choose chapter or problem)
The orthogonal projection of n 2 on line C through the origin is afimction u: 'R.2 .... 'R.2 defined in the following 111(1/IJier: Let v be a vector in 'R.2 with endpoim P. Construct alinefmm P petpendicul(lr Ill C. and let F denMe the point of intersection of thi.f perpendicular line with C. The vector wirh endpoim F is U(v). (See Figure 4.14). It can be shown that orthogonal projections of 'R. 2 on a line containing 0 arc linear. '' p c Figure 4.14 The orthogonal projection of a vector v on a line through the origin of n 2 69. Find U :~ ]) .where U is the orthogonal projection of 'R.2 on the line with equation )'= X. Him: First, find I u IB where B = {[:]. [ - :]
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