Given the vectors u = (1, 1,-1,-1) and v = (2, -3, 0, 6), and the point x = (-1,0,2,1) in R¹. (i) Find (2u-v). (2u + v). (ii) Find the parametric equations of the plane that passes through the point x, and is parallel to both u and v. Use s and t as parameters. (iii) Find the vector component of v along u, and the vector component of v orthogonal to u.
Given the vectors u = (1, 1,-1,-1) and v = (2, -3, 0, 6), and the point x = (-1,0,2,1) in R¹. (i) Find (2u-v). (2u + v). (ii) Find the parametric equations of the plane that passes through the point x, and is parallel to both u and v. Use s and t as parameters. (iii) Find the vector component of v along u, and the vector component of v orthogonal to u.
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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