- #1
mbecker19
- 5
- 0
The angle (in degrees) between A = -24.5i + 45.4j, and the positive x-axis is?
The vector angle is the measurement of the rotation from the initial position of a vector to its final position, measured in degrees or radians.
The formula for finding the angle of a vector is θ = cos⁻¹ (v•w / |v||w|), where v and w are the two vectors and • represents the dot product.
To find the angle of a vector in 3-dimensional space, you can use the same formula as in 2-dimensional space, but you will need to take into account the z-component of the vectors as well.
Yes, the angle of a vector can be negative. This occurs when the rotation is in a clockwise direction, which is opposite to the orientation of positive angles.
The angle of a vector is used in physics to calculate the magnitude and direction of forces and motion. It is also used in vector addition and subtraction to determine the resultant vector.