Vectors are mathematical objects that have both magnitude and direction. They are often represented as arrows in two or three-dimensional space. In math, vectors are used to represent quantities such as velocity, force, and displacement.
To solve a sum from vectors, you need to first add or subtract the corresponding components of the vectors. Then, use the Pythagorean theorem to find the magnitude of the resulting vector. Finally, use trigonometric functions to find the direction of the resulting vector.
No, vectors cannot be multiplied or divided. They can only be added, subtracted, and multiplied by a scalar (a number). Multiplication between two vectors is known as the dot product, and it results in a scalar value. Division between two vectors is not defined.
A vector has both magnitude and direction, while a scalar only has magnitude. In other words, a scalar is a single numerical value, while a vector is a combination of magnitude and direction represented as a mathematical object.
Yes, vectors are used in various real-life applications, such as physics, engineering, and navigation. They are used to represent and analyze quantities such as force, velocity, and displacement in the physical world.