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Cables extend from point A to point C and from point A to point B. What is the angle between them?

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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.

User Neonamu
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