RedCrab Math Tutorial

Vector Calculation

In the following descriptin are vector operations using vectors of length two or three. Vectors can have any number of entries.

Vector Addition

Vectors can only be added if the number of dimensions and their orientation (columns or row-oriented) are the same.

The vectors and can be added

The vectors and can not be added

Each number in the list is called a element. Vectors can be added and subtracted by adding and subtracting the elements.
The addition to higher-dimension vectors is performed according to the same principle.

Graphic Vector Addition

The following figure shows the graphical vector addition of the expression

Vector Subtraction

The subtraction of vectors is identical to the addition of vectors, but with negative operator. For the vector subtraction, the same rules apply as for the addition of vectors.

Vector Multiplication

Vectors also can be multiplied by real numbers, as follows.
The answer is a real number, not a vector.

Scalar multiplication of a vector

Scalar vector multiplication is the multiplication of a vector with a real number. For this purpose, each element of the vector is multiplied by the real number.


Integer and Real Numbers
Complex Numbers
Polar Coordinates
Roots and Power
Percentage Calculation
Interest Calculation
Absolute Value of a Number
Euclidean division
Modulo - Remainder of a division
Vector Calculation
Matrices Definition
Matrices Calculation
Matrices & Simultaneous Equations
Matrices Determinants
Row Operations of Matrices
Matrices and Geometry, Reflection
Matrices and Geometry, Rotation

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