Vectors

What is Vectors?

vectors are why to describe motion with maths they exist in Euclidean space. euclidean space is mathematical concept that describes geometric space intended to represent physical space. euclidean space can have n-spaces where “n” can be any positive integer.

Difference between vector and points

{/* plain where user will define a point based on input x and y */} “Points are used to describe locations in space” and they are dependent of there coordinate system means points form one coordinate system will have different different coordinates in other system.

Vectors are similar to points but unlike points they are independent of any coordinate system. while points represent a specific position in space, vectors describe motion with direction or quantities with both magnitude (size) and direction.

Vector Algebra

Vector

Addition

Add corresponding components of two vectors.

Subtraction

Subtract corresponding components of two vectors.

Cross Product

Produces a new vector perpendicular to the two input vectors.

Scalar

Multiplication

Multiply each component of a vector by a scalar. because scalar scales the vector

Dot Product

Magnitude of a Vector

Unit Vector

Resources