QJEEM13Mae1f8: JEE Main 2013 Physics - Class 11 JEEM13Mae1f8 Solution: If the vectors and are the sides of a triangle then the length…

Question

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If the vectors

\overrightarrow {AB} = 3\widehat i + 4\widehat k

and

\overrightarrow {AC} = 5\widehat i - 2\widehat j + 4\widehat k

are the sides of a triangle

ABC,

then the length of the median through

A

is :

Accepted Answer

As

M

is mid point of

BC

\therefore

\overrightarrow {AM} = {1 \over 2}\left( {\overrightarrow {AB} + \overrightarrow {AC} } \right)

= 4\overrightarrow i + \overrightarrow j + 4\overrightarrow k

Length of median

AM

= \sqrt {16 + 1 + 16} = \sqrt {33}

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