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Thought-Process to Discover Knowledge

Welcome to **nub****trek**.

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

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

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.