If the vectors AB = 3 i + 4 k and AC = 5 i - 2 j + 4 k are the sides of a triangle ABC, then the length of the median through A is:

Vector Algebra: JEE Main 2013 Mathematics question

JEE Main 2013 · Session, Shift 1 · Q5686

JEE Main 2013Session, Shift 1MathematicsEasyVector Algebra184× since 2002

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 :

JEE Main 2013 · Session, Shift 1 · Q5686

JEE Main 2013Session, Shift 1MathematicsEasyVector Algebra184× since 2002

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 :