Vector Calculator
Calculate vector operations including addition, subtraction, dot product, cross product, magnitude, and angle between vectors.
Vector Calculator
Operation:
Vector A:
|A| = 5.000, Angle: 53.1°
Vector B:
|B| = 2.236, Angle: 63.4°
A + B
(4.00, 6.00)
+|A + B|
7.211
-|A - B|
2.828
·A · B
11.000
×|A × B|
2.000
Unit Vectors:
Unit A (a)(0.60, 0.80)
Unit B (b)(0.45, 0.89)
Projection of A onto B:
Vector Projection(2.20, 4.40)
Scalar Projection4.919
Vector Relationship
Angle: 10.30°
Vector Operations
Dot Product
A·B = |A||B|cos(θ)
Results in a scalar
Cross Product
|A×B| = |A||B|sin(θ)
Results in a vector
Magnitude
|A| = √(x² + y² + z²)
Length of vector
Unit Vector
a = A / |A|
Magnitude = 1