Table of Contents
Angle Between Vectors
The angle between vectors is a measure of the angle between the two vectors in question. This is usually measured in radians, degrees, or in a unitless fashion. The angle can be found using the dot product or the cross product of the vectors.
Angle between Two Vectors Formula
The angle between two vectors is the angle between the two vectors’ initial points. The magnitude of the angle is the magnitude of the dot product of the two vectors divided by the product of their magnitudes.
Two Methods to Calculate the Angle between Two Vectors
There are two methods to calculate the angle between two vectors: geometric and analytical.
The geometric method calculates the angle between the vectors using their lengths and the direction of their initial points. The analytical method calculates the angle using the dot product of the vectors.
Solved Example
The table below gives the number of passengers carried by a bus in each of the six months of a year.
Month Passengers January 150 February 175 March 200 April 225 May 250 June 275
Find the average number of passengers carried by the bus in a month.
The average number of passengers carried by the bus in a month is 191.66.
