Table of Contents
What are Vectors?
A vector is a mathematical object that has both magnitude and direction. Vectors are often used in physics and engineering. For example, a vector can represent the force of a wind on a building or the velocity of a car.
Angle Between Two Vectors
The angle between two vectors is the angle between their individual x-axis vectors. To find the angle between two vectors, use the following equation:
The angle between two vectors is measured in radians.
Angle Between Two Vectors Using Dot Product
The angle between two vectors can be found using the dot product. The dot product is a measure of the magnitude and direction of two vectors. The magnitude is the length of the vector, and the direction is the angle between the vectors. The dot product is found by multiplying the magnitude of each vector and then dividing by the product of their lengths. The angle is found by taking the arctangent of the quotient.
Angle Between Two Vectors Using Cross Product
The angle between two vectors can be found using the cross product. The angle is found by taking the arccosine of the magnitude of the cross product of the two vectors divided by the product of the magnitudes of the two vectors.
