Let be vectors of length 3, 4 and 5 respectively. Let be perpendicular to B + C , ~B to C…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
Let 
be vectors of length 3, 4 and 5 respectively. Let 
be perpendicular to \(\overrightarrow{\mathrm{B}}+\overrightarrow{\mathrm{C}}, \overrightarrow{\mathrm{~B}}\) to \(\overrightarrow{\mathrm{C}}+\overrightarrow{\mathrm{A}}\) and \(\overrightarrow{\mathrm{C}}\)to \(\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}\). Then length of the vector, \(\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}+\overrightarrow{\mathrm{C}}\) is :
be vectors of length 3, 4 and 5 respectively. Let be perpendicular to \(\overrightarrow{\mathrm{B}}+\overrightarrow{\mathrm{C}}, \overrightarrow{\mathrm{~B}}\) to \(\overrightarrow{\mathrm{C}}+\overrightarrow{\mathrm{A}}\) and \(\overrightarrow{\mathrm{C}}\)to \(\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}\). Then length of the vector, \(\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}+\overrightarrow{\mathrm{C}}\) is :- \(-5 \sqrt{2}\)
- \(\sqrt{2}\)
- \(5 \sqrt{2}\)
- none of these
Answer
(C) 5 2
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