What are Vectors? Vectors is a term in science that denotes anything that has a magnitude as well as a direction. The right way to represent a vector is to draw it as a pointed arrow. The length of the arrow is the magnitude and the arrowhead points in the direction. The most basic approach to add two vectors is to join one's head to the tail of the other vector. The addition of two vectors obeys the commutative property which means that no matter in which order you add the vectors, the result will be the same. We use the Pythagora's theorem to calculate the magnitude of a vector. A vector that has a magnitude 1 is called a unit vector. When you multiply two vectors, you always get a vector. The product of two vectors is called a cross product. The order in which you multiply two vectors is very important as; A × B ≠ B × A. The application of vectors in today's world is endless. They can help understand and chart very complex systems.
- Adding Vectors End to End - Students learn a fundamental way to learn more about a system.
- Drawing Vectors - We visualize a way to better understand the nature of vectors and get a full sense of their force and direction.
- Finding the Components of a Vector - We show students how to determine both the x and y components of a vector.
- Magnitudes of Scalar Multiples - We look at the methods we can use to measure these distances.
- Multiplying a Vector by a Matrix - We show students how perform this will column and row vectors.
- Multiply a Vector by a Scalar - We look at how we breakdown the vector into components and then multiply each by the same scalar.
- Vector Based Word Problems - These types of problems have a great many applications in the field of physics.
- Vector Subtraction - This helps us understand the differences between two vectors.
- Vector Sums Magnitude and Direction - We look at what these are and what they mean in different situations and how to make sense of them.