# What is the angle between these two vectors?

• IDKFysics

#### IDKFysics

Vectors A and B have scalar product -4.00 and their vector product has magnitude 9.00.

Here's what I did:

ABcos=-4
ABsin=9

sin/cos=-2.25

tan=-2.25

angle=-66?

I entered this and it says it's incorrect. What did I do wrong?

Pay attention that the angle between two vectors won't be negative ...

There should be an angle that its cos is - and its sin is +

angle: 180 - 66 = 114 degree

## 1. What is the definition of an angle between two vectors?

The angle between two vectors is the measure of the smallest angle between the two vectors when they are placed tail-to-tail.

## 2. How is the angle between two vectors calculated?

The angle between two vectors can be calculated using the dot product formula: θ = cos⁻¹ (a · b / |a||b|), where a and b are the two vectors and |a| and |b| are their magnitudes.

## 3. Can the angle between two vectors be greater than 180 degrees?

No, the angle between two vectors cannot be greater than 180 degrees. The angle between two vectors is always between 0 and 180 degrees.

## 4. What does the sign of the angle between two vectors indicate?

The sign of the angle between two vectors indicates the direction of rotation needed to align one vector with the other. A positive angle indicates a counterclockwise rotation, while a negative angle indicates a clockwise rotation.

## 5. Can the angle between two vectors be negative?

Yes, the angle between two vectors can be negative. This indicates a clockwise rotation needed to align one vector with the other.