Show that the three vectorsv1 = 3i j + 2k, v2 = i + j k, v3 = i 5j 4kare mutually
Chapter 11, Problem 46(choose chapter or problem)
Show that the three vectors
\(v_{1}=3 i-j+2 k, v_{2}=i+j-k, v_{3}=i-5 j-4 k\)
are mutually orthogonal, and then use the result of Exercise 45 to find scalars \(c_{1}, c_{2}\), and \(c_{3}\) so
that
\(c_{1} v_{1}+c_{2} v_{2}+c_{3} v_{3}=i-j+k\)
Equation Transcription:
Text Transcription:
v_1=3i-j+2k, v_2=i+j-k, v_3=i-5j-4k
c_1,c_2
c_3
c_1v_1+c_2v_2+c_3v_3=i-j+k
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