The angle between the vectors is 52.01 degrees
How to determine the angle between the vectors
From the question, we have the following parameters that can be used in our computation:
a = 4i - 3j + k and b = 2i - k
Where, we have
AB = (4i - 3j + k) * (2i - k)
Evaluate
AB = 8i.i - 3j.0 - k.k
This gives
AB = 8 - 0 - 1
AB = 7
Next, we have
|A| = √(4² + 3² + 1²) = 5.10
|B| = √(2² + 1²) = 2.23
The angle between them is then calculated as
cos(θ) = AB/{|A| * |B|)
This gives
cos(θ) = 7/(5.10 * 2.23)
cos(θ) = 0.6154
So, we have
θ = 52.01
Hence, the angle between the vectors is 52.01 degrees