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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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