The position vector of vertices of a triangle ABC are \[4\mathbf{i}-2\mathbf{j},\,\mathbf{i}+4\mathbf{j}-3\mathbf{k}\] and \[-\mathbf{i}+5\mathbf{j}+\mathbf{k}\] respectively, then \[\angle ABC=\] [RPET 1988, 97]

The position vector of vertices of a triangle ABC are \[4\mathbf{i}-2\

1.	The position vector of vertices of a triangle ABC are \[4\mathbf{i}-2\mathbf{j},\,\mathbf{i}+4\mathbf{j}-3\mathbf{k}\] and \[-\mathbf{i}+5\mathbf{j}+\mathbf{k}\] respectively, then \[\angle ABC=\] [RPET 1988, 97]
A.	\[\pi /6\]
B.	\[\pi /4\]
C.	\[\pi /3\]
D.	\[\pi /2\]
Answer» E.

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The position vector of vertices of a triangle ABC are \[4\mathbf{i}-2\mathbf{j},\,\mathbf{i}+4\mathbf{j}-3\mathbf{k}\] and \[-\mathbf{i}+5\mathbf{j}+\mathbf{k}\] respectively, then \[\angle ABC=\] [RPET 1988, 97]

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