If a, b, c are coplanar vectors, then

Question

Accepted Answer

$\begin{vmatrix} {\bf{a}}&{\bf{b}}&{\bf{c}}\ {{\bf{a}}\,.\,{\bf{a}}}&{{\bf{a}}\,.\,{\bf{b}}}&{{\bf{a}}\,.\,{\bf{c}}}\ {{\bf{b}}\,.\,{\bf{a}}}&{{\bf{b}}\,.\,{\bf{b}}}&{{\bf{b}}\,.\,{\bf{c}}} \end{vmatrix} = {\bf{0}}$

Answer

$\begin{vmatrix} {\bf{a}}&{\bf{b}}&{\bf{c}}\ {\bf{b}}&{\bf{c}}&{\bf{a}}\ {\bf{c}}&{\bf{a}}&{\bf{b}} \end{vmatrix} = {\bf{0}}$

Answer

$\begin{vmatrix} {\bf{a}}&{\bf{b}}&{\bf{c}}\ {{\bf{c}}\,.\,{\bf{a}}}&{{\bf{c}}\,.\,{\bf{b}}}&{{\bf{c}}\,.\,{\bf{c}}}\ {{\bf{b}}\,.\,{\bf{a}}}&{{\bf{b}}\,.\,{\bf{c}}}&{{\bf{b}}\,.\,{\bf{b}}} \end{vmatrix}= {\bf{0}}$

Answer

$\begin{vmatrix} {\bf{a}}&{\bf{b}}&{\bf{c}}\ {{\bf{a}}\,.\,{\bf{b}}}&{{\bf{a}}\,.\,{\bf{a}}}&{{\bf{a}}\,.\,{\bf{c}}}\ {{\bf{c}}\,.\,{\bf{a}}}&{{\bf{c}}\,.\,{\bf{c}}}&{{\bf{c}}\,.\,{\bf{b}}} \end{vmatrix} = {\bf{0}}$

vectors-m

Question: If a, b, c are coplanar vectors, then

vectors-m

Question: If a, b, c are coplanar vectors, then

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