Change By Design Cap 1

CHAPTER 1 1.1. Given the vectors M = −10ax + 4ay − 8az and N = 8ax + 7ay − 2az , find: a) a unit vector in the direction of −M + 2N. −M + 2N = 10ax − 4ay + 8az + 16ax + 14ay − 4az = (26, 10, 4) Thus a= b) the magnitude of 5ax + N − 3M: (5, 0, 0) + (8, 7, −2) − (−30, 12, −24) = (43, −5, 22), and |(43, −5, 22)| = 48.6. c) |M||2N|(M + N): |(−10, 4, −8)||(16, 14, −4)|(−2, 11, −10) = (13.4)(21.6)(−2, 11, −10) = (−580.5, 3193, −2902) 1.2. Given three points, A(4, 3, 2), B(−2, 0, 5), and C(7,…

CHAPTER 1 1.1. Given the vectors M = −10ax + 4ay − 8az and N = 8ax + 7ay − 2az , find: a) a unit vector in the direction of −M + 2N. −M + 2N = 10ax − 4ay + 8az + 16ax + 14ay − 4az = (26, 10, 4) Thus a= b) the magnitude of 5ax + N − 3M: (5, 0, 0) + (8, 7, −2) − (−30, 12, −24) = (43, −5, 22), and |(43, −5, 22)| = 48.6. c) |M||2N|(M + N): |(−10, 4, −8)||(16, 14, −4)|(−2, 11, −10) = (13.4)(21.6)(−2, 11, −10) = (−580.5, 3193, −2902) 1.2. Given three points, A(4, 3, 2), B(−2, 0, 5), and C(7,…

menores Assign – atribuir, designar a um compoutador ou a alguém um trabalho Associate attributes – atributos associados ou vinculados Attach – fixar, atar ou ligar Author – autor Auto activate – ativar automaticamente AutoCAD – (Computer Aided Design) – Programa de projeto auxiliado por computador usado na área de engenharia, arquitetura, mecânica, etc. Auto edit – editar automaticamente Automated – automatizado, automático Auto save – salvar automaticamente Auto scroll –…

menores Assign – atribuir, designar a um compoutador ou a alguém um trabalho Associate attributes – atributos associados ou vinculados Attach – fixar, atar ou ligar Author – autor Auto activate – ativar automaticamente AutoCAD – (Computer Aided Design) – Programa de projeto auxiliado por computador usado na área de engenharia, arquitetura, mecânica, etc. Auto edit – editar automaticamente Automated – automatizado, automático Auto save – salvar automaticamente Auto scroll –…

CHAPTER 1 1.1. Given the vectors M = −10ax + 4ay − 8az and N = 8ax + 7ay − 2az , find: a) a unit vector in the direction of −M + 2N. −M + 2N = 10ax − 4ay + 8az + 16ax + 14ay − 4az = (26, 10, 4) Thus a= b) the magnitude of 5ax + N − 3M: (5, 0, 0) + (8, 7, −2) − (−30, 12, −24) = (43, −5, 22), and |(43, −5, 22)| = 48.6. c) |M||2N|(M + N): |(−10, 4, −8)||(16, 14, −4)|(−2, 11, −10) = (13.4)(21.6)(−2, 11, −10) = (−580.5, 3193, −2902) 1.2. Given three points, A(4, 3, 2), B(−2, 0, 5), and C(7,…

CHAPTER 1 1.1. Given the vectors M = −10ax + 4ay − 8az and N = 8ax + 7ay − 2az , find: a) a unit vector in the direction of −M + 2N. −M + 2N = 10ax − 4ay + 8az + 16ax + 14ay − 4az = (26, 10, 4) Thus a= b) the magnitude of 5ax + N − 3M: (5, 0, 0) + (8, 7, −2) − (−30, 12, −24) = (43, −5, 22), and |(43, −5, 22)| = 48.6. c) |M||2N|(M + N): |(−10, 4, −8)||(16, 14, −4)|(−2, 11, −10) = (13.4)(21.6)(−2, 11, −10) = (−580.5, 3193, −2902) 1.2. Given three points, A(4, 3, 2), B(−2, 0, 5), and C(7,…

menores Assign – atribuir, designar a um compoutador ou a alguém um trabalho Associate attributes – atributos associados ou vinculados Attach – fixar, atar ou ligar Author - autor Auto activate – ativar automaticamente AutoCAD – (Computer Aided Design) – Programa de projeto auxiliado por computador usado na área de engenharia, arquitetura, mecânica, etc. Auto edit – editar automaticamente Automated – automatizado, automático Auto save – salvar automaticamente Auto scroll –…

CHAPTER 1 1.1. Given the vectors M = −10ax + 4ay − 8az and N = 8ax + 7ay − 2az , find: a) a unit vector in the direction of −M + 2N. −M + 2N = 10ax − 4ay + 8az + 16ax + 14ay − 4az = (26, 10, 4) Thus a= (26, 10, 4) = (0.92, 0.36, 0.14) |(26, 10, 4)| b) the magnitude of 5ax + N − 3M: (5, 0, 0) + (8, 7, −2) − (−30, 12, −24) = (43, −5, 22), and |(43, −5, 22)| = 48.6. c) |M||2N|(M + N): |(−10, 4, −8)||(16, 14, −4)|(−2, 11, −10) = (13.4)(21.6)(−2, 11, −10) = (−580.5, 3193, −2902) 1.2.

CHAPTER 1 1.1. Given the vectors M = −10ax + 4ay − 8az and N = 8ax + 7ay − 2az , find: a) a unit vector in the direction of −M + 2N. −M + 2N = 10ax − 4ay + 8az + 16ax + 14ay − 4az = (26, 10, 4) Thus a= b) the magnitude of 5ax + N − 3M: (5, 0, 0) + (8, 7, −2) − (−30, 12, −24) = (43, −5, 22), and |(43, −5, 22)| = 48.6. c) |M||2N|(M + N): |(−10, 4, −8)||(16, 14, −4)|(−2, 11, −10) = (13.4)(21.6)(−2, 11, −10) = (−580.5, 3193, −2902) 1.2. Given three points, A(4, 3, 2), B(−2, 0, 5), and C(7,…

menores Assign – atribuir, designar a um computador ou a alguém um trabalho Associate attributes – atributos associados ou vinculados Attach – fixar, atar ou ligar Author – autor Auto activate – ativar automaticamente AutoCAD – (Computer Aided Design) – Programa de projeto auxiliado por computador usado na área de engenharia, arquitetura, mecânica, etc. Auto edit – editar automaticamente Automated – automatizado, automático Auto save – salvar automaticamente Auto scroll – rolar…