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Consider the vectors u= (3,1,4) and v = = (-4,3,-1) aj Let Ly be the line through the point 0:(0,0,0) with direction vector u and let L₂ be the line through the point P: (2,5,7) with direction vector V. Determine the intersection of the lines. by Determine all vectors of length 1 that are orthogonal to both u and V. c Split u into two perpendicular components, One of which is parallel to vector v.

Consider the vectors u= (3,1,4) and v = = (-4,3,-1) aj Let Ly be the line through the point 0:(0,0,0) with direction vector u and let L₂ be the line through the point P: (2,5,7) with direction vector V. Determine the intersection of the lines. by Determine all vectors of length 1 that are orthogonal to both u and V. c Split u into two perpendicular components, One of which is parallel to vector v.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 13CR
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Consider the vectors u= (3,1,4) and v = = (-4,3,-1) aj Let Ly be the line through the point 0:(0,0,0) with direction vector u and let L₂ be the line through the point P: (2,5,7) with direction vector V. Determine the intersection of the lines. by Determine all vectors of length 1 that are orthogonal to both u and V. c Split u into two perpendicular components, One of which is parallel to vector v.
Transcribed Image Text:Consider the vectors u= (3,1,4) and v = = (-4,3,-1) aj Let Ly be the line through the point 0:(0,0,0) with direction vector u and let L₂ be the line through the point P: (2,5,7) with direction vector V. Determine the intersection of the lines. by Determine all vectors of length 1 that are orthogonal to both u and V. c Split u into two perpendicular components, One of which is parallel to vector v.
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