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4) X(-1,2,6) and Y (5,5,125 are two points in R³ a Determine the components of a position vector equivalent b) Determine the components of a unif vector that is in the some to YX direction as YX

4) X(-1,2,6) and Y (5,5,125 are two points in R³ a Determine the components of a position vector equivalent b) Determine the components of a unif vector that is in the some to YX direction as YX

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 30EQ
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pg. 344-347, #4. X(-1,2,6) and Y(5,5,12) are two points in R3 an Determine the components of a position vector equivalent to YX of a unif vector that is b) Determine the components in the Some direction as YX #11) Calculate the values of a, b, and c in each of the following a 2 (a,b, 4) + (6,8,C) -3(7.C.-4) =(24,3,25) b)2(a.a, a) + (3b, 0, -5c) + 2(c; 3₂c,0) =(3,-22,54) #16.) The vectors and e are such that la 1-3 and 1el =5, and the angle between them is 30° Determine each of the following: b.) ld-eो c) le-al olatel #26.) Show that if a is perpendicular to each of the vectors to and e, then perpendicular to 25 +40 a is
Transcribed Image Text:pg. 344-347, #4. X(-1,2,6) and Y(5,5,12) are two points in R3 an Determine the components of a position vector equivalent to YX of a unif vector that is b) Determine the components in the Some direction as YX #11) Calculate the values of a, b, and c in each of the following a 2 (a,b, 4) + (6,8,C) -3(7.C.-4) =(24,3,25) b)2(a.a, a) + (3b, 0, -5c) + 2(c; 3₂c,0) =(3,-22,54) #16.) The vectors and e are such that la 1-3 and 1el =5, and the angle between them is 30° Determine each of the following: b.) ld-eो c) le-al olatel #26.) Show that if a is perpendicular to each of the vectors to and e, then perpendicular to 25 +40 a is
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