Vectors in mathematics are the geometry-based entities that will be having the magnitude as well as direction. The vector can be perfectly represented by a line with an arrow pointing towards the direction and the length will always help in representing the magnitude of the vector. So, the vector in mathematics can be perfectly represented and they will also be having the initial points as well as terminal points in the whole process. The concept of vectors was evolved approximately 200 years ago and this can be perfectly used in terms of representing physical quantities like displacement, velocity, acceleration and several other kinds of related things.
As per the Latin language vector means carrier and vectors are responsible in terms of carrying the things from one point to another one. The length of the line between two points will be known as magnitude and the direction of the displacement will be known as the direction of the vector. It has very specific relevance in the world of mathematics, engineering and physics.
Kids need to be clear about the representation of the vectors because normally it will be undertaken into a bold and lowercase alphabet along with an arrow over it. It can also be denoted by the initial and terminal points with the arrow above them. So, having a clear idea about this particular type of thing is very much important. The initial point of the vector is also known as the tail and the terminal point is known as the head. Vectors help in describing the movement of the object from one place to another and in the Cartesian coordinate system, it can be perfectly denoted by the order pairs. So, having a clear idea about this particular area is very much important so that there is no chance of any kind of issue and everything will be perfectly implemented by kids.
It is also important for kids to be clear about the concept of calculation of angle between two vectors which can be perfectly calculated with the utilisation of the dot product formula. The product of the two vectors can be perfectly given by A.B is equal to AB cos theta. Hence, indulging in the right kind of evaluation in this particular area is very much important and the following are some of the basic types of vectors that everyone should know:
- Vectors which has zero magnitudes are known as zero factors and they will not have any kind of direction.
- Vector which has a magnitude equal to one or is known as unit vector and generally, it is used to denote the direction of a vector.
- Position vectors are the ones that can be perfectly used in terms of determining the position and direction of the movement of vectors into the 3-D space.
- Two vectors are said to be equal whenever they will be having the same magnitude as well as the same direction.
- The vector is said to be negative of another vector if they will be having the same magnitude but the direction will be opposite.
- Two vectors are said to be parallel vectors if they will be having the same direction but not the same magnitude the whole process.
- Vectors that have the same initial point or are known as co-initial vectors
- Two or more vectors into space are said to be orthogonal if the angle between both of them is 90°
Hence, having a clear idea about all the above-mentioned aspects of the vectors is very much important so that kids can indulge in solving the questions very successfully. Apart from this being clear about the concept of coordinate plane from the house of experts at Cuemath is important to score well in maths exam.