- #1
PinkFlamingo
- 19
- 0
Could someone refresh my memory how to find the angle between 2 vectors in 3d, say:
a= 4i + j + 2k
b= -i +2j + k
Thanks!
a= 4i + j + 2k
b= -i +2j + k
Thanks!
The angle between 2 vectors is the amount of rotation that is needed to align one vector with the other. It is measured in degrees or radians.
To find the angle between 2 vectors, you can use the dot product formula: θ = arccos((a · b) / (|a| * |b|)), where a and b are the vectors and |a| and |b| are the magnitudes of the vectors.
The range of possible angles between 2 vectors is from 0 to 180 degrees (or 0 to π radians). This is because vectors can either be aligned (0 degrees) or completely opposite (180 degrees).
No, the angle between 2 vectors cannot be negative. It is always measured as the smallest angle between the two vectors and is always positive.
The dot product is directly related to the angle between 2 vectors. The dot product is equal to the product of the magnitudes of the vectors and the cosine of the angle between them. This means that the dot product becomes larger as the angle between the vectors gets smaller, and vice versa.