Video Transcript
Using that each square of the grid
has length one, write the vector 𝐀𝐁 in the form 𝑎𝐢 plus 𝑏𝐣 and then in the
form 𝑎, 𝑏.
From the start point 𝐴, we move
plus two units in the horizontal direction, which represents the vector two 𝐢. We then move positive three units
in the vertical direction, which represents the vector three 𝐣, to reach the point
𝐵. The vector 𝐀𝐁, which represents
traveling directly from 𝐴 to 𝐵, is then the sum of these unit vectors, and that’s
two 𝐢 plus three 𝐣. The components 𝑎 and 𝑏 are
therefore two and three, respectively. And so we have 𝐀𝐁 is two 𝐢 plus
three 𝐣 in terms of unit vectors and two, three in component form.
