Let 𝐴 = −2, 3 and 𝐵 = 4, 5 . Express the vector 𝐴𝐵 in 𝑣 = 𝑎𝒊 + 𝑏𝒋 form
Question
Let 𝐴 = −2, 3 and 𝐵 = 4, 5 . Express the vector 𝐴𝐵 in 𝑣 = 𝑎𝒊 + 𝑏𝒋 form
Solution
The vector AB is found by subtracting the coordinates of point A from the coordinates of point B.
The coordinates of point A are (-2, 3) and the coordinates of point B are (4, 5).
So, the vector AB = B - A = (4 - (-2), 5 - 3) = (4 + 2, 5 - 3) = (6, 2).
Therefore, the vector AB can be expressed in the form v = ai + bj as v = 6i + 2j.
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