### Video Transcript

Find the components of the vector π΄π΅, where π΄ is the point with coordinates five, two and π΅ is the point with coordinates 17, 23.

So weβve been given the initial and terminal points of a vector and asked to find its components. To do this, we need to record that if a vector has an initial point with coordinates π₯ one, π¦ one and a terminal point with coordinates π₯ two, π¦ two, then the components of the vector can be found by subtracting the coordinates of the initial point from the terminal point.

The components of the vector are π₯ two minus π₯ one, π¦ two minus π¦ one. So letβs apply this to the vector π΄π΅. The first component of the vector π΄π΅, the horizontal component, is 17 minus five.

The second component the vertical part is 23 minus two. Therefore, in component form, the vector π΄π΅ is 12, 21.