Vector in Coordinate System

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see

Eigenvalue in Matrix

Diagonalizable

Total differential

Unit Vector

pic. 1

Let formulas be supposed like that pic. 1.

pic. 2

We can express the vector v like pic. 2.

pic. 3

We can find relationship 

between total differentials in Cartesian and general coordinate system

in pic. 2 and pic. 3.

Diagonalizable

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see

Properties of Determinant

Eigenvalue in Matrix

Linear Independence and Dependence

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see

Determinant A where Ax=O

Quadruple Products

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see

A Triple Vector Product : Cross Product

A Triple Vector Product : Cross Product

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see

Sum and Products by Unit Vector

A Triple Vector Product : Dot Product.

Before you see this post,

see

Sum and Products by Unit Vector

Sum and Products by Unit Vector

Before you see this post,

see

Unit Vector

and

Vector products

Sum of Vectors

Dot Product

Before you calculate vectors by cross product,

Remember that hand.

Cross Product

Unit Vector

Vector products

In cross product, it is very important to calculate in order.

Here is order for cross product.

Vector