SPM 2019 Add Maths Paper 1, Question 15Vectors

Solved on video in English and Bahasa Melayu · 3 marks · Form 4, Vectors · 5:55 video

The question

Diagram 6 shows a parallelogram ABCD. Point E lies on AB such that AE:EB = 2:1. It is given that vector EB = 4u and vector AD = 3v. Express in terms of u and/or v: (a) vector AE, (b) vector ET (T is the midpoint of diagonal AC).

[3 marks]

SPM 2019 Add Maths Paper 1, Question 15: the question as drawn in Eduly's video5:55

Step 1

Since AE:EB = 2:1 and EB = 4u, then AE = 2 x EB (same direction) = 2(4u) = 8u.

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

Final answer

AE = 8u; ET = −2u + 3/2 v

Where students lose marks

Watch out: in a parallelogram BC = AD (not AB), and AT is only half of the diagonal AC.

Watch every step of this question solved on video (5:55), with the reason behind each step and a box that checks your own answer.

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