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Vector Algebra question

2016 · 10 Apr · Shift 1 · Q32

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2016 · 10 Apr · Shift 1 · Q32

Vector Algebra question

2016 · 10 Apr · Shift 1 · Q32

JEE MainMathematicsVector AlgebraMCQ+4 / −1

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 :

A
${\overrightarrow a + \overrightarrow b + \overrightarrow c }$
B
$- \left( {{{\overrightarrow a + \overrightarrow b + \overrightarrow c } \over 2}} \right)$
C
$\overrightarrow 0$
D
$\left( {{{\overrightarrow a + \overrightarrow b + \overrightarrow c } \over 2}} \right)$

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