If `vec A =4 hat I + 6 hat j -3 hat k` and ` vec B =- 2 hat I -5 hat j + 7 hat k`, find the angle between ` vec A and vec B`.

Explanation

To find the angle between the vectors \(\vec{A}\) and \(\vec{B}\), we can use the formula involving the dot product of the vectors. The formula is:

\[ \vec{A} \cdot \vec{B} = |\vec{A}| |\vec{B}| \cos \theta \]

Where:
- \(\vec{A} \cdot \vec{B}\) is the dot product of vectors \(\vec{A}\) and \(\vec{B}\).
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