masses at A, B, and C, the center of mass of that system is given by the intersections of the medians of the triangle. 9. (a) Let u, v e R2. Describe the vectors x su + tv, where s +t = 1. Pay particular attention to the location of x when s > 0 and whent > 0. (b) Let u, v, w e Ri. Describe the vectors x ru +sV + tw, wherer+s +t = 1. Pay particular attention to the location of x when each of r, s, and t is positive. 10. Suppose x, y e R" are nonparallel vectors. (Recall the definition on p. 3.)
masses at A, B, and C, the center of mass of that system is given by the intersections of the medians of the triangle. 9. (a) Let u, v e R2. Describe the vectors x su + tv, where s +t = 1. Pay particular attention to the location of x when s > 0 and whent > 0. (b) Let u, v, w e Ri. Describe the vectors x ru +sV + tw, wherer+s +t = 1. Pay particular attention to the location of x when each of r, s, and t is positive. 10. Suppose x, y e R" are nonparallel vectors. (Recall the definition on p. 3.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 10AEXP
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I need help for problem 9. Thanks!
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Step 1
For (a)
Step 2
Now we will check the behaviour of x for values of s and t.
Step 3
If both s ≥ 0, t ≥ 0 and satisfying s + t = 1, then the position of x will lie on the u-v vector as shown in fig.
Step 4
Now for (b),
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