WAEC Further Mathematics 2023 Theory question 108

Theory question 108

Vectors

P is the mid-point of NO and equidistant from MN and MO. If MN = 8i + 3j and MO = 14i − 5j; find MP. (MN, MO and MP are vectors.)

Show the model answer

Model answer

P is the midpoint of NO, so MP = ½(MN + MO).
MP = ½(22i − 2j) = 11i − j.

Explanation

The position of a midpoint is the average of the two end vectors.