# What is the formula to find angle between two vectors?

Table of Contents

## What is the formula to find angle between two vectors?

Important Points on Angle Between Two Vectors: The angle (θ) between two vectors a and b is found with the formula θ = cos-1 [ (a · b) / (|a| |b|) ].

## What is the formula of parallel vector?

What is the Difference Between Perpendicular and Parallel Vectors?

Perpendicular Vectors | Parallel Vectors |
---|---|

The dot product of two perpendicular vectors is 0. | The cross-product of two parallel vectors is 0. |

If a and b are perpendicular then |a × b| = |a||b|. | If a and b are parallel then a · b = |a||b|. |

**What is the angle between 2 parallel lines?**

Parallel line meet at infinity, so the angle between a pair of parallel lines is zero degrees.

### What is the angle of parallel vectors?

Likewise, if two vectors are parallel then the angle between them is either 0 degrees (pointing in the same direction) or 180 degrees (pointing in the opposite direction).

### What is the angle between i j and ij?

The angle is 90 degree.

**What is the angle between two antiparallel vectors?**

Anti-parallel vectors are those parallel vectors that are opposite in direction. Angle between such two vector is 180°.

#### What is the angle between two parallel 0 or 180 or both?

Answer: the angle between parallel lines is undefined, or it can be either 0 or 180 degrees, or any multiple of 180 degrees.

#### What is the angle between a vector and its opposite?

The angle θ between the vectors and is θ = cos−1(−1) = π.

**What is the angle between two parallel vectors when they are drawn from a common origin?**

The angle between parallel vectors is zero (if going in same direction) or 180 if going in the opposite direction. Vectors are parallel if they have the same direction or are in exactly opposite directions. . Both components of one vector must be in the same ratio to the corresponding components of the parallel vector.