A vector is a mathematical quantity that has both magnitude (size) and direction. It is typically represented by an arrow pointing in the direction of the vector, with the length of the arrow representing the magnitude.
To find the direction of a vector, you need to use trigonometry. You can calculate the angle between the vector and a reference axis, such as the +x axis, using the inverse tangent function. This will give you the direction of the vector in radians or degrees.
A vector being counterclockwise of the +x axis means that the direction of the vector is in the counterclockwise direction relative to the positive x-axis. This is often referred to as the "positive" direction.
No, a vector's direction is typically represented as a positive angle in relation to a reference axis. However, a vector can be in the negative direction of an axis if it points in the opposite direction of the positive direction of that axis.
The direction of a vector is often represented using angles, such as degrees or radians, or using a directional notation, such as "counterclockwise of the +x axis." It can also be represented by a unit vector, which is a vector with a magnitude of 1 that points in the same direction as the original vector.