Answer to Question #118150 in Analytic Geometry for SAHIL LOHCHAB

Question #118150

If vector x * vector b = vector c * vector b and vector x . vector c =0 then find vector x

Expert's answer

"\\bar{x}\\times\\bar{b}=\\bar{c}\\times\\bar{b}=>\\begin{matrix}\n or\\ \\bar{x}=\\bar{c} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\\\\n or\\ \\bar {b}=0\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\\\\n or\\ \\bar{x}=\\bar{c}=0 \\ and\\ \\bar{b}\\not=0\n\\end{matrix}"

Given "\\bar{x}\\cdot\\bar{c}=0"

If "\\bar{b}\\not=0," then "\\bar{x}=0"