To determine the angle between two vectors, one can utilize the dot product formula. This formula incorporates the magnitudes of the vectors and the cosine of the angle in question. The formula can be expressed as cos(θ) = (A.B) / (||A|| ||B||). In this equation, A and B represent vectors, ||A|| and ||B|| denote their respective magnitudes, and θ symbolizes the angle.
| Topic | Problem | Solution |
|---|---|---|
| None | Given vectors \( \mathbf{A} = 3\mathbf{i} - 2\mat… | First, we calculate the dot product of vectors \( \mathbf{A} \) and \( \mathbf{B} \). The dot produ… |