The formula for finding the angle between two vectors C and D is:
cos(theta) = (C • D) / (|C| * |D|), where theta is the angle between the two vectors and C • D represents the dot product of the vectors.
Alpha and beta represent the angle between vector C and the x-axis, and between vector D and the x-axis, respectively. Theta represents the angle between vectors C and D.
The dot product of two vectors is found by multiplying each corresponding component of the vectors and then adding the products together. For example, if vector C is (c1, c2, c3) and vector D is (d1, d2, d3), the dot product would be: C • D = (c1 * d1) + (c2 * d2) + (c3 * d3).
No, the angle between two vectors is always positive. If the dot product of the two vectors is negative, the angle between them will be greater than 90 degrees.
In a 3-dimensional space, the formula remains the same, but the dot product will involve three components instead of two. Additionally, the values of alpha, beta, and theta will represent angles in three dimensions instead of just two.
