A 2d vector is a mathematical object that has both magnitude and direction in a two-dimensional space. It is often represented as an arrow with a length and a direction.
The components of a 2d vector are the two values that represent its magnitude and direction. These values can be described as the horizontal and vertical distances or the x and y coordinates.
To find the components of a 2d vector, you can use trigonometric functions such as sine and cosine. The horizontal component is calculated by multiplying the magnitude by the cosine of the angle, and the vertical component is calculated by multiplying the magnitude by the sine of the angle.
Yes, the components of a 2d vector can change depending on the direction and magnitude of the vector. If the vector is rotated or stretched, its components will also change.
The components of a 2d vector can be represented mathematically as a pair of numbers, such as (x, y) or (a, b). The order of the numbers typically corresponds to the horizontal and vertical components respectively.