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Vectors | O Level Mathematics 4024 & IGCSE Mathematics 0580 | Detailed Free Notes To Score An A Star (A*)

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  • An easy way to say it is that vector is a 1 dimensional matrix that has a direction.
  • We show vectors with either a small letter or the name of the two movement point with an arrow on the top
  • We can also write vector in a 1 column, 2 row matrix.
  • Here, a is the movement is x axis, and b is the movement in y axix
    • If a is positive, we move towards the right in the same number of steps.
    • If a is negative, we move towards the left in the same number of steps.
    • If b is positive, we move upwards in the same number of steps
    • If b is negative, we move downwards in the same number of steps.
  • Addition or subtraction of vectors is the same as matrices.
  • We can multiply a vector with a scalar.
    • For example
    • Here, we can simply multiply each element of the vector with the scalar quantity outside.
    • Therefore, we can say
  • Next, calculating the magnitude of a vector is as follows
  • For the vector
  • We can find the magnitude as the following
  • Finally, we can use the directed line segments to show the vector as well.
  • Basically, if we say that a vector is
    • We can show the direction on the line segment as follows
    • The starting point can be different than (0,0) but the rise and run would be according to the vector.
  • Position Vectors
    • See the video for this part/ Coplanar vectors
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