Projection of a vector onto another vector

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Reference no: EM13910620

Projection of a Vector onto Another Vector

Problem Set (3D)

For the following pair of vectors, Calculate P- and N- by the formulas given above. Use Step I of the Maple supplement to plot your results and to check your calculations. Provide a printout of your Maple plot: include both the blue output as well as the plot.

1. u-= (-4, 3, 5) and v- = (2,-1, 4)

Problem Set (Gram-Schmidt Orthogonalization) We are given the same vectors, u-, v-, P- and N- as in problem #1, above. Project the vector w- onto the plane formed by P- and N- to get P-2 :

P-2 = Proj p-(w-) + Proj N-(w-)

 

Then N2 is found by N2 = w- - P-2 . Use Step II of the Maple supplement to plot

2. u- = (-4, 3, 5) v-= (2, -1, 4) and w- = (3,5, -4)

Provide a printout of your Maple plot: include both the blue output as well as the plot.

Reference no: EM13910620

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