If is any vector in the plane given by then
Chapter 11, Problem 109(choose chapter or problem)
In Exercises 109-114, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
If \(\mathbf{v}=a_{1} \mathbf{i}+b_{1} \mathbf{j}+c_{1} \mathbf{k}\) is any vector in the plane given by \(a_{2} x+b_{2} y+c_{2} z+d_{2}=0\), then \(a_{1} a_{2}+b_{1} b_{2}+c_{1} c_{2}=0\).
Text Transcription:
v=a_1i+b_1j+c_1k
a_2 x+b_2 y+c_2 z+d_2=0
a_1 a_2+b_1 b_2+c_1 c_2=0
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