\[\mathbf{a},\,\mathbf{b}\] and c are three vectors with magnitude \[|\mathbf{a}|\,=4,\] \[|\mathbf{b}|\,=4,\] \[|\mathbf{c}|\,=2\] and such that \[\mathbf{a}\] is perpendicular to \[(\mathbf{b}+\mathbf{c}),\,\mathbf{b}\] is perpendicular to \[(\mathbf{c}+\mathbf{a})\] and \[\mathbf{c}\] is perpendicular to \[(\mathbf{a}+\mathbf{b}).\] It follows that \[|\mathbf{a}+\mathbf{b}+\mathbf{c}|\] is equal to [UPSEAT 2004]

\[\mathbf{a},\,\mathbf{b}\] and c are three vectors with magnitude \[|

1.	\[\mathbf{a},\,\mathbf{b}\] and c are three vectors with magnitude \[\|\mathbf{a}\|\,=4,\] \[\|\mathbf{b}\|\,=4,\] \[\|\mathbf{c}\|\,=2\] and such that \[\mathbf{a}\] is perpendicular to \[(\mathbf{b}+\mathbf{c}),\,\mathbf{b}\] is perpendicular to \[(\mathbf{c}+\mathbf{a})\] and \[\mathbf{c}\] is perpendicular to \[(\mathbf{a}+\mathbf{b}).\] It follows that \[\|\mathbf{a}+\mathbf{b}+\mathbf{c}\|\] is equal to [UPSEAT 2004]
A.	9
B.	6
C.	5
D.	4
Answer» C. 5

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