Vectors are related by their scalar products and the magnitude of their vector products
The measure of angle between vectors a and b is 129.8 degrees
How to determine the angle between them
The given parameters are:
- Scalar product = -5
- Magnitude of vector product = 6.0
The angle between the vectors a and b is calculated as:
[tex]\theta = \tan^{-1}(\frac{(A \times B)}{A \cdot B})[/tex]
Where:
A x B represents the magnitude of the vector product, and A.B represents the scalar product
So, we have:
[tex]\theta = \tan^{-1}(\frac{6.0}{-5})[/tex]
Evaluate the quotient
[tex]\theta = \tan^{-1}(-1.2)[/tex]
Evaluate the arc tangent
[tex]\theta = 129.8^o[/tex]
Hence, the angle between vectors a and b is 129.8 degrees
Read more about vectors at:
https://brainly.com/question/14480278
