Points of Concurrency in a Triangle

Medians of a Triangle are Concurrent. The Point of Concurrency is the Centroid.

A median of a triangle is the line joining the midpoint of a side and the opposite vertex.

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Angle Bisectors of a Triangle are Concurrent. The Point of Concurrency is the Incenter.

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Altitudes of a Triangle are Concurrent. The Point of Concurrency is the Orthocenter.

An altitude is the perpendicular line drawn from a vertex on the opposite side of the triangle.

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Perpendicular Bisectors of a Triangle are Concurrent. The Point of Concurrency is the Circumcenter.

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Proof of Section Formula using Vectors

The section formula is one of the important results in the geometry. We will obtain the section formula for internal as well as external division, using vectors.


Section Formula for Internal Division

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Section Formula for External Division

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Vector Algebra : Theorems (I)

In this blog, we will prove fundamental theorems in vector algebra. These theorems are in accordance with the +2 curriculum.

Theorem 1 : Collinear Vectors

vectors_theorems01-00.jpgTheorem 2 : Non-collinear and Coplanar Vectors

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Theorem 3 : Coplanar Vectors

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Theorem 4 : Non-coplanar Vectors

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