- P- is a point inside the triangle ABC- such that BC P-A- -CA P-B- -AB P-C- -0- then for the triangle ABC the point P is its -

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Addition of Vectors

' P' is a po...

Question

' $P$ ' is a point inside the triangle $A B C$ , such that $B C (\to P A) + C A (\to P B) + A B (\to P C) = 0,$ then for the triangle $A B C$ the point $P$ is its :

Incentre

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Circumcentre

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Centroid

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Orthocentre

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P) P is a point in the plane of the triangle ABC. Pv's of A,B and C are $\to a, \to b a n d \to c$ respectively with respect to P as the origin. If $(\to b + \to c) . (\to b - \to c) = 0 a n d (\to c + \to a) . (\to c - \to a) = 0$ then w.r.t. the Triangle ABC, P is its	1)Centroid
Q) If $\to a, \to b, \to c a r e$ the position vectors of the three non collinear points A,B and C repectively such that the vector $\to V = - - \to P A + - - \to P B + - - \to P C$ is a null vector then w.r.t. the $Δ A B C$ , P is its	2)orthocentre
R)if P is a point inside the $Δ A B C$ such that the vector $\to R = (B C) (- - \to P A) + C A (- - \to P B) + (A B) (- - \to P C)$ is null vector then w.r.t. the $Δ A B C$ , P is its	3)Incentre
S) If P is a point in the plane of the triangle ABC such that the scalar product $- - \to P A . - - \to C B a n d - - \to P B . - - \to A C$ vanishes, then w.r.t. the $Δ A B C$ . P is its	4)Circumcentre

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