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

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

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

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

If the position vectors of the four points A, B, C, D are 2bar(a), bar(b), 6bar(b) and 2bar(a)+5bar(b) then ABCD is

The position vectors of A and B are bar(a) and bar(b) respectively. If C is a point on the line bar(AB) such that bar(AC)=5bar(AB) then find the position vector of C.

DeltaABC be an equilateral triangle whose orthocentre is the origin 'O'. If bar(OA)=bar(a), bar(OB)=bar(b)" then "bar(OC) is

The position vectors A, B are bar(a), bar(b) respectively. The position vector of C is (5bar(a))/3-bar(b) . Then

The position vectors of the vertices of a triangle are 3bar(i)+4bar(j)+5bar(k),bar(i)+7bar(k) and 5bar(i)+5bar(j) The distance between the circumcentre and orthocentre is