A vector is a mathematical quantity that has both magnitude and direction. It is represented by an arrow, with the length of the arrow representing the magnitude and the direction of the arrow representing the direction.
To add vectors, you must first resolve them into their horizontal and vertical components. Then, you can add the horizontal components together and the vertical components together. Finally, use the Pythagorean theorem to find the magnitude of the resultant vector, and use inverse trigonometric functions to find the direction.
Yes, vectors can be added in any order. This is known as the commutative property of vector addition.
Adding vectors algebraically involves resolving the vectors into their components and adding the components together to find the magnitude and direction of the resultant vector. Graphically, you can use the head-to-tail method or the parallelogram method to visually represent the vectors and find the resultant vector.
Vector addition follows certain rules, such as the commutative and associative properties, but there are no inherent limitations to vector addition. However, in real-world applications, there may be limitations due to physical constraints or measurement error.