Answered: 40. Given a = (3,-4) and b = (1, 2).… | bartleby

Elementary Geometry For College Students, 7e

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b
a. (5,-8)
b.(5,0)
c.(4,-4)
d. (4,0)

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F. Given the vectors A = (-1, 2, 3), B = (0, 4, -5 ), C = ( 1, 0, -2), D = ( 2,3,1) A. Find the following: 2. (C x D) (B x A)
given the vector A=48p-6.9åo+3â, at point P(6,8,5). The vector A can be expressed in cartesian system as O a. -3.12åx+7.34ây+3âz O b. -3.12åx+7.34ay-3az O.7.92áx+-0.94ay+3az O d. -7.92áx+-0.94ây+3áz O e.-7.92ax+-0.94ay-3áz
Assume v1 = [3,-2] and v2 = [-1,4]. Find the sum and difference of vectors v1 and v2. v1 + v2 = [Answer,Answer] v1 − v2 = [Answer,Answer]
a. Write the vector (8, 5, 30) as a linear combination of a₁ = (4, -4,1), d₂ = (4, -5, 5) and d3 = (0, -4,-4). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ +52 + 6ả3, which would be entered as 4a1 + 5a2 + 6a3. (8,5, 30) = b. Represent the vector (8,5,30) in terms of the ordered basis B = {(4,-4, 1), (4, −5, 5), (0, -4,-4)}. Your answer should be a vector of the general form . [(8, 5, 30)] B =
Given vectors a = (3, -5) and b = (-2, 7), find 4a - 5b
a. Write the vector (-4,-8, 6) as a linear combination of a₁ (1, -3, -2), a₂ = (-5,–2,5) and ẩ3 = (−1,2,3). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ + 5ả₂ + 6ẩ3, which would be entered as 4a1 + 5a2 + 6a3. (-4,-8, 6) = -3a1+a2+2a3 b. Represent the vector (-4,-8,6) in terms of the ordered basis = {(1, −3,−2), (-5, -2,5),(-1,2,3)}. Your answer should be a vector of the general form . [(-4,-8,6)] =

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