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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue
11th-12th Foundation

Vector Algebra

Welcome to the only place where the essence of vectors is explained.

 •  A vector in first-principles is a quantity with spatial-direction specified. Example: `2m` north-east.

 •  A vector in component form is linear-combination of unit vectors of independent directions. eg: `2i+2j`

 •  A vector in 3D co-ordinate system is a ray initiating from the origin.

Vector addition, dot product, and cross product are explained in

  »  first principle,

  »  geometrical meaning, and

  »  component form.

The details explained here are revolutionary and astonishingly simple to understand.
(click for the list of lessons in this topic)

Vector Dot Product

Welcome to the only place where essence of vector dot product is explained. The following are covered.

 •  Multiplication of two vectors : either component in parallel take part or the component in perpendicular take part

 •  Vector dot product in first principles

 •  Projection form of vector dot product

 •  Component form of vector dot product

The details in these pages provide powerful and clear insights.

(click for the list of pages in the lesson)