The vector c directed along the internal bisector of the angle between the vectors \[\mathbf{a}=7\mathbf{i}-4\mathbf{j}-4\mathbf{k}\] and \[\mathbf{b}=-2\mathbf{i}-\mathbf{j}+2\mathbf{k}\] with \[|\mathbf{c}|\,=5\sqrt{6},\] is

\[\frac{5}{3}\,(5\mathbf{i}+5\mathbf{j}+2\mathbf{k})\]

\[\frac{5}{3}\,(\mathbf{i}-7\mathbf{j}+2\mathbf{k})\]

\[\frac{5}{3}\,(\mathbf{i}+7\mathbf{j}+2\mathbf{k})\]

\[\frac{5}{3}\,(-5\mathbf{i}+5\mathbf{j}+2\mathbf{k})\]

The vector c directed along the internal bisector of the angle between

1.	The vector c directed along the internal bisector of the angle between the vectors \[\mathbf{a}=7\mathbf{i}-4\mathbf{j}-4\mathbf{k}\] and \[\mathbf{b}=-2\mathbf{i}-\mathbf{j}+2\mathbf{k}\] with \[\|\mathbf{c}\|\,=5\sqrt{6},\] is
A.	\[\frac{5}{3}\,(\mathbf{i}-7\mathbf{j}+2\mathbf{k})\]
B.	\[\frac{5}{3}\,(5\mathbf{i}+5\mathbf{j}+2\mathbf{k})\]
C.	\[\frac{5}{3}\,(\mathbf{i}+7\mathbf{j}+2\mathbf{k})\]
D.	\[\frac{5}{3}\,(-5\mathbf{i}+5\mathbf{j}+2\mathbf{k})\]
Answer» B. \[\frac{5}{3}\,(5\mathbf{i}+5\mathbf{j}+2\mathbf{k})\]

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The vector c directed along the internal bisector of the angle between the vectors \[\mathbf{a}=7\mathbf{i}-4\mathbf{j}-4\mathbf{k}\] and \[\mathbf{b}=-2\mathbf{i}-\mathbf{j}+2\mathbf{k}\] with \[|\mathbf{c}|\,=5\sqrt{6},\] is

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