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What is Vectors in Math

Vectors: Any quantity can be described in 2 ways: a Scalar or Vector. ‘Scalar’ is a quantity which only has magnitude (number only). ‘Vector’ is a quantity which has both magnitude and direction (which way it’s heading towards).

Vector representation in 1-D:

It’s magnitude is denoted by | A | and its direction is given by a unit vector of length = 1, but heading towards a certain direction!

A unit vector is denoted by   , and its magnitude is given by, |    | = 1.

Vector representation in 2-D:

vector

From the above graph, we see that the vector forms a right triangle, so use Pythagorean Theorem to find | V |.

vector

Direction of 2-D Vector:

 

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You can also, Read our other blog What Is A Mathematical Expression, Equation & Relationships ?

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