Vectors A, B, and C: Finding the Angles Between Them

To find the angles between vectors A and B, A and C, and B and C, we can use the dot product formula:

• Cosine of the angle: cos(θ) = (A • B) / (|A| |B|)

Here’s how to approach it:

1. Calculate the dot product: Find the dot product A • B, A • C, and B • C.
2. Compute the magnitudes: Calculate the magnitudes |A|, |B|, and |C| for the three vectors.
3. Use the formula: Plug the values into the cosine formula to solve for the angles θ between each pair of vectors.

Depending on the coordinates or components of vectors A, B, and C presented in the figure, substitute those values into the calculations. Once you obtain cosine values, use an inverse cosine function (arccos) to find the angles in degrees or radians as required.