Free Vectors Calculator - Given 2 vectors A and B, this calculates:

* Length (magnitude) of A = ||A||

* Length (magnitude) of B = ||B||

* Sum of A and B = A + B (addition)

* Difference of A and B = A - B (subtraction)

* Dot Product of vectors A and B = A x B

A ÷ B (division)

* Distance between A and B = AB

* Angle between A and B = θ

* Unit Vector U of A.

* Determines the relationship between A and B to see if they are orthogonal (perpendicular), same direction, or parallel (includes parallel planes).

* Cauchy-Schwarz Inequality

* The orthogonal projection of A on to B, proj_{B}A and and the vector component of A orthogonal to B → A - proj_{B}A

Also calculates the horizontal component and vertical component of a 2-D vector.

This calculator has 1 input.

* Length (magnitude) of A = ||A||

* Length (magnitude) of B = ||B||

* Sum of A and B = A + B (addition)

* Difference of A and B = A - B (subtraction)

* Dot Product of vectors A and B = A x B

A ÷ B (division)

* Distance between A and B = AB

* Angle between A and B = θ

* Unit Vector U of A.

* Determines the relationship between A and B to see if they are orthogonal (perpendicular), same direction, or parallel (includes parallel planes).

* Cauchy-Schwarz Inequality

* The orthogonal projection of A on to B, proj

Also calculates the horizontal component and vertical component of a 2-D vector.

This calculator has 1 input.

- angle
- the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
- cauchy schwarz inequality
- the lengths of the dot product of vectors is less than or equal to the product of the lengths of the vectors
- cosine
- cos(θ) is the ratio of the opposite side to the hypotenuse.
- direction
- the line or course on which something is going
- distance
- interval between two points in time

d = rt - inequality
- a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

>, <, ≤, ≥ - length
- the measurement or extent of something from end to end
- magnitude
- the size, extent, or importance of something
- orthogonal
- Two perpendicular lines - two lines forming a 90 degree angle
- orthogonal
- Two perpendicular lines - two lines forming a 90 degree angle
- perpendicular
- two lines which intersect to form a right angle
- product
- The answer when two or more values are multiplied together
- projection
- the transformation of points and lines in one plane onto another plane by connecting corresponding points on the two planes with parallel lines.
- vector
- directed line segment