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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

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.

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.

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.

The pages in this lesson are

__Understanding Properties of Dot Product__ *redo *

__Dot Product: Commutative Property__ *redo *

__Dot product of a negative__ *redo *

__Dot product of a scalar multiple__ *redo *

__Dot product with a null vector__ *redo *

__Dot product of Orthogonal Vectors__ *redo *

__Dot product of Collinear Vectors__ *redo *

__Distributive Property over Vector Addition__ *redo *

__When products of two vectors are equal__ *redo *

__Dot Product : No Multiplicative Identity__ *redo *

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.

The pages in this lesson are

__Understanding Properties of Cross Product__ *redo *

__Cross Product : Closure Property__ *redo *

__Cross Product : Not Commutative__ *redo *

__cross product of a negative__ *redo *

__Cross product of a Scalar Multiple__ *redo *

__Cross product with a null vector__ *redo *

__Cross Product of Orthogonal Vectors__ *redo *

__Cross Product of Collinear Vectors__ *redo *

__Distributive Property over Vector Addition__ *redo *

__When products of two vectors are equal__ *redo *

__Cross Product : No Multiplicative Identity__ *redo *