Given x = (-1, -2,-2), u = (0,1,4), v = (-1,1,2), andw=(3,1,2) in R', find a, b, and c such that x = au+bv+cw.Sol:-b + 3c = -1a + b +C = -24a +2b + 2c =-2⇒a=1, b = -2, c = -1Thus x=u-2v-w

Answered: Image /qna-images/answer/6a49857d-b660-4544-a92b-09f43520973d.jpg

Answered: Given x = (-1, -2,-2), u = (0,1,4), v =…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.6: Segments Divided Proportionally

Problem 8E: Given: l1l2l3,AB=5,BC=x,DE=x2,EF=7 Find: x,BC,DE

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Given x = (-1, -2,-2), u = (0,1,4), v = (-1,1,2), and w = (3,1,2) in R', find a, b, and c such that x = au+bv+cw.