WAEC Further Mathematics 2018 Theory question 107

Theory question 107

Vectors

Given that m = 3i − 2j, n = 2i − 3j and p = −i − 6j, find 4m − 2n − 3p.

Show the model answer
Model answer

4m = 12i − 8j; −2n = −4i + 6j; −3p = 3i + 18j.
4m − 2n − 3p = 11i + 16j.

Explanation

Multiply each vector, then add the i and j parts separately.