What are vectors?
Vectors are an area of mathematics and important tools in physics. You can find out what these vectors actually are here.
What are vectors?
- Vectors are an important subject of analytic geometry in the mathematics.
- Vectors are indicated by an arrow above the variable.
- Vectors are objects that describe a parallel displacement in a space or a plane.
- An arrow always has a direction and a length. The length of the arrow is the amount of the vector: | a->| = a. The direction of the vectors is given by column vectors that contain two coordinates for vectors in a plane and three coordinates for vectors in space.
Calculating with vectors
- The addition and subtraction of two vectors works simply by adding or subtracting the x, y and z coordinates. be subtracted. A new vector results.
- A vector can be multiplied by a simple number. This number is called a scalar. To do this, each individual coordinate is multiplied by the scalar to obtain the new column vector.
- Two vectors can also be multiplied - in two different ways: the scalar product and the vector product.
- The result of a scalar product is a scalar. The x, y and z coordinates are multiplied and the products are added. The arithmetic symbol is a point - as it is written in any normal multiplication.
- The result of a vector product is again a vector. The arithmetic symbol is an x.
Vector multiplication - that's how it's done
Multiplication of vectors is not as easy as that of numbers. So there is ...
Vectors in physics
- In the physics vectors are particularly important.
- All physical properties that have a direction are vectors.
- Physical quantities that are vectors include speed, acceleration, mechanical forces, and electrical and magnetic fields.
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