Final answer:
The angle between two vectors can be found using the dot product formula: cos(angle) = (A · B) / (|A| * |B|). To calculate the angle, you need the magnitudes of both vectors and their dot product.
Step-by-step explanation:
The angle between two vectors, such as the cables extending from points A to C and A to B, can be found using the dot product formula: cos(angle) = (A · B) / (|A| * |B|). To calculate the angle, you need the magnitudes (lengths) of both vectors and their dot product.
In this case, if you are given the lengths of vectors A and B, you can calculate their dot product using the formula: A · B = |A| * |B| * cos(angle). Then, rearrange the formula to solve for the angle: angle = acos((A · B) / (|A| * |B|)).
Make sure to convert the lengths of the vectors to the same unit before plugging them into the formula.