We know
Given position vectors of points A, B, and C are:
Hence, proved that the given points form the vertices of a right angled triangle.
Show that the points A, B and C with position vectors, \[\overrightarrow{a}=3\widehat{i}-4\widehat{j}-4\widehat{k}\] , \[\overrightarrow{b}=2\widehat{i}-\widehat{j}+\widehat{k}\] and \[\overrightarrow{c}=\widehat{i}-3\widehat{j}-5\widehat{k}\] ,respectively form the vertices of a right angled triangle.
Show that the points A, B and C with position vectors, \[\overrightarrow{a}=3\widehat{i}-4\widehat{j}-4\widehat{k}\] , \[\overrightarrow{b}=2\widehat{i}-\widehat{j}+\widehat{k}\] and \[\overrightarrow{c}=\widehat{i}-3\widehat{j}-5\widehat{k}\] ,respectively form the vertices of a right angled triangle.