SPM 2018 Add Maths Paper 1, Question 8Vectors

Solved on video in English and Bahasa Melayu · 3 marks · Form 4, Vectors · 4:23 video

The question

Diagram 3 shows the vectors OP, OQ and OM drawn on a square grid. (a) Express OM in the form hp + kq, where h and k are constants. (b) On the Diagram 3, mark and label the point N such that MN + OQ = 2OP.

[3 marks]

SPM 2018 Add Maths Paper 1, Question 8: the question as drawn in Eduly's video4:23

Step 1

Identify the two base vectors from the grid: p = OP (the vector from O to P) and q = OQ (the vector from O to Q), each read along the square grid.

5 more steps, each with the reason for it, in the full solution

Final answer

OM = p + 2q (h = 1, k = 2); MN = 2p − q, so ON = 3p + q (mark N)

Where students lose marks

Watch out: count p and q moves separately, keep the minus in MN = 2OP − OQ, and plot N from M, not O.

Watch every step of this question solved on video (4:23), with the reason behind each step and a box that checks your own answer.

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