I think AB here is supposed to be the length of the line segment connecting points A and B. It's not the vector ##\mathbf{b}-\mathbf{a}##, though it is related. And I think you meant you multiplied by 2/5, not 5/2. Or at least that would somewhat make sense.homeworkhelpls said:
Vector coordinates are a set of numbers that represent the magnitude and direction of a vector in a given coordinate system. They are typically written in the form (x, y, z) for three-dimensional vectors and (x, y) for two-dimensional vectors.
To find the coordinates of a vector, you need to know its magnitude and direction. You can then use trigonometric functions to calculate the x, y, and z components of the vector, which make up its coordinates.
Vector coordinates represent both magnitude and direction, while scalar coordinates only represent magnitude. Vector coordinates are typically used in physics and engineering, while scalar coordinates are used in mathematics.
Yes, vector coordinates can be negative. The sign of the coordinates depends on the direction of the vector. For example, a vector pointing in the negative x direction would have a negative x coordinate.
Vector coordinates are used in many real-life applications, such as navigation systems, computer graphics, and physics simulations. They are also used in engineering and construction to represent forces and velocities.