Final answer:
To find the angles ∠BAC, ∠ABC and ∠ACB in a circle, use vectors and dot product.
Step-by-step explanation:
To find the angles ∠BAC, ∠ABC, and ∠ACB in a circle with center D, we can use vectors. Let's assume A and B are points on the circumference of the circle.
Using vectors, we can find ∠BAC by taking the dot product of vector BA and vector AC, and then using the inverse cosine function to find the angle.
Similarly, we can find ∠ABC by taking the dot product of vector AB and vector BC, and ∠ACB by taking the dot product of vector AC and vector CB.