Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are a, b, c and (a + b + c)/4 respectively, then the position vector of the orthocentre of this triangle, is:

Vector Algebra: JEE Main 2016 Mathematics question

JEE Main 2016 · 10 Apr, Morning shift · Q5687

JEE Main 201610 Apr, Morning shiftMathematicsHardVector Algebra184× since 2002

Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are

\overrightarrow a ,\overrightarrow b ,\overrightarrow c

and

{{\overrightarrow a + \overrightarrow b + \overrightarrow c } \over 4}

respectively, then the position vector of the orthocentre of this triangle, is :

JEE Main 2016 · 10 Apr, Morning shift · Q5687

JEE Main 201610 Apr, Morning shiftMathematicsHardVector Algebra184× since 2002

Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are

\overrightarrow a ,\overrightarrow b ,\overrightarrow c

and

{{\overrightarrow a + \overrightarrow b + \overrightarrow c } \over 4}

respectively, then the position vector of the orthocentre of this triangle, is :