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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.
11th-12th Foundation

### Properties of Vector Arithmetics

The topics provide a simple overview of properties of vector arithmetics.

•  Vector Addition

•  Vector Multiplication by a scalar

•  Vector Dot Product

•  Vector Cross Product

The details in these pages provide clear insights.
(click for the list of lessons in this topic)

Properties of Vector Addition

The topics provide a simple overview of Properties of Vector addition. The properties of vector addition can be easily understood with the properties of real number addition. The following are covered.

•  Closure property of Vector Addition

•  Commutative property of Vector Addition

•  Associative property of Vector Addition

•  Additive Identity

•  Additive Inverse

•  Magnitude of Sum of Vectors

The details in these pages provide clear insights.

(click for the list of pages in the lesson)

Properties of Vector Multiplication by Scalar

The topics provide a simple overview of Properties of Scalar multiplication of Vectors is provided. The following are covered.

•  Order of Scalar Multiplication

•  Distributive over Addition

•  Multiplication by Multiple Scalars

•  Magnitude of Scalar multiple of vector

•  Unit vector along a vector

The details in these pages provide clear insights.

(click for the list of pages in the lesson)

Properties of Dot Product

The topics provide a simple overview of Properties of Vector Dot product. The following are covered.

•  not closed

•  commutative

•  product by a negative

•  product by a scalar multiple

•  product with a null vector

•  product of orthogonal vectors

•  product of collinear vectors

•  distributive over vector addition

•  bilinear property

•  not associative

•  no cancellation in an equation

•  no multiplicative identity

•  no multiplicative inverse

•  magnitude of dot product

The details in these pages provide clear insights.

(click for the list of pages in the lesson)

Properties of Cross Product

The topics provide a simple overview of Properties of Vector Cross product. The following are covered.

•  closed

•  commutative

•  product by a negative

•  product by a scalar multiple

•  product with a null vector

•  product of orthogonal vectors

•  product of collinear vectors

•  distributive over vector addition

•  bilinear property

•  not associative

•  no cancellation in an equation

•  no multiplicative identity

•  no multiplicative inverse

•  magnitude of cross product

The details in these pages provide clear insights.

(click for the list of pages in the lesson)