SPM 2019 Add Maths Paper 1, Question 16Vectors

Solved on video in English and Bahasa Melayu · 3 marks · Form 4, Vectors · 4:20 video

The question

It is given that P(2, m), Q(h, 6), v = 2i - j, w = 9i + 3j and vector PQ = 2v + kw, where m, h and k are constants. Express h in terms of m.

[3 marks]

Step 1

Compute PQ using the given vectors: PQ = 2(2i-j) + k(9i+3j) = 4i-2j+9ki+3kj = (4+9k)i + (-2+3k)j.

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

Final answer

h = 30 - 3m

Where students lose marks

Watch out: PQ = OQ - OP (end minus start). Writing OP - OQ flips the signs and gives the wrong h.

Watch every step of this question solved on video (4:20), with the reason behind each step and a box that checks your own answer.

No card. Every past-year question on video, in English and BM.