Vectors are mathematical quantities that have both magnitude (size) and direction. They are commonly used in math and science to represent physical quantities such as velocity, force, and displacement.
To add or subtract vectors, you must first make sure they are in the same direction. Then, you can simply add or subtract their magnitudes, while keeping the direction the same. If the vectors are not in the same direction, you can use trigonometry and the Pythagorean theorem to find the resultant vector.
A scalar is a quantity that only has magnitude, while a vector has both magnitude and direction. Examples of scalars include temperature and mass, while examples of vectors include velocity and displacement.
Vectors are typically represented graphically as arrows, with the length of the arrow representing the magnitude and the direction of the arrow indicating the direction of the vector.
Yes, vectors can be multiplied in two different ways: dot product and cross product. The dot product results in a scalar quantity, while the cross product results in a vector quantity. These operations are commonly used in physics and engineering.