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1. Let u= (0, -2,3), v= (1,4, 1). Evaluate a) the projection proju(v) of v over u And b) the area of the parallelogram whose sides are parallel to u and v.

1. Let u= (0, -2,3), v= (1,4, 1). Evaluate a) the projection proju(v) of v over u And b) the area of the parallelogram whose sides are parallel to u and v.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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ne File Window Help a 86% (4) Thu 9:12 AM Edit View History Bookmarks People Tab FIU The second final exam V Final2-final.docx * Final2-final.pdf + A dropbox.com/s/b90dly5rvkraflm/Final2-final.pdf?dl=0 Final2-final.pdf 1. Let u=(0, -2,3), v=(1,4, 1). Evaluate a) the projection proju(v) of v over u And b) the area of the parallelogram whose sides are parallel to u and v. Find the equation of the line L that passes through the points P= (-1, 0, -1) and Q= (-1, 2, 4) 2. Then find the equation of a plane that passes through the points P, Q and the origin, and b) the point of intersection of the line L in a) and the plane of equation x- b. с. y+z=0 3. The curve r(t) = 2ti, cos t j+t?k_is the trajectory of a particle. Evaluate the velocity, the speed, and the acceleration of the particle. Whaptop Autocad Laptop Autocad AAO 22 MacBook Pro 4 & 3 4 8. Q E R U P G L D K B N alt comm and option
Transcribed Image Text:ne File Window Help a 86% (4) Thu 9:12 AM Edit View History Bookmarks People Tab FIU The second final exam V Final2-final.docx * Final2-final.pdf + A dropbox.com/s/b90dly5rvkraflm/Final2-final.pdf?dl=0 Final2-final.pdf 1. Let u=(0, -2,3), v=(1,4, 1). Evaluate a) the projection proju(v) of v over u And b) the area of the parallelogram whose sides are parallel to u and v. Find the equation of the line L that passes through the points P= (-1, 0, -1) and Q= (-1, 2, 4) 2. Then find the equation of a plane that passes through the points P, Q and the origin, and b) the point of intersection of the line L in a) and the plane of equation x- b. с. y+z=0 3. The curve r(t) = 2ti, cos t j+t?k_is the trajectory of a particle. Evaluate the velocity, the speed, and the acceleration of the particle. Whaptop Autocad Laptop Autocad AAO 22 MacBook Pro 4 & 3 4 8. Q E R U P G L D K B N alt comm and option
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