### Video Transcript

Find the components of the vector ๐ด๐ต, where ๐ด is the point with coordinates five, two and ๐ต is the point with coordinates 17, 23.

So weโve 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 ๐ฅ one, ๐ฆ one and a terminal point with coordinates ๐ฅ two, ๐ฆ 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 ๐ฅ two minus ๐ฅ one, ๐ฆ two minus ๐ฆ one. So letโs apply this to the vector ๐ด๐ต. The first component of the vector ๐ด๐ต, the horizontal component, is 17 minus five.

The second component the vertical part is 23 minus two. Therefore, in component form, the vector ๐ด๐ต is 12, 21.