Answer to Question #105884 in Analytic Geometry for Jflows

Question #105884
If α=α1i+α2j+α3keta=\ eta1i+\ eta2j+\ eta3k, thenαdot \etaαdot\ eta is ____?

a.\\(\\alpha_{1}\\beta_{1}+\\alpha_{2}\\beta_{2}+\\alpha_{3}\\beta_{3}\\)
b.\\(\\alpha_{1}\\beta_{1-\\alpha}\\beta_{2-\\alpha}\\beta_{3-\\alpha}\\)
c.\\(\\alpha_{1}\\beta_{1}-\\alpha_{2}\\beta_{2}-\\alpha_{3}\\beta_{3}\\)
d.\\(\\alpha_{1}\\beta_{1}+\\alpha_{2}\\beta_{2}-\\alpha_{3}\\beta_{3}\\)
1
Expert's answer
2020-03-23T12:42:05-0400

"\\alpha=\\alpha_1i+\\alpha_2j+\\alpha_3k"

"\\beta=\\beta_1i+\\beta_2j+\\beta_3k"

"\\alpha.\\beta=\\alpha_1\\beta_1+\\alpha_2\\beta_2+\\alpha_3\\beta_3"

Option (a) is correct.


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