SPM 2018 Add Maths Paper 1, Question 9Vectors

Solved on video in English and Bahasa Melayu · 4 marks · Form 4, Vectors · 4:43 video

The question

A(2, 3) and B(-2, 5) lie on a Cartesian plane. It is given that 3OA = 2OB + OC. Find (a) the coordinates of C, (b) |AC|.

[4 marks]

SPM 2018 Add Maths Paper 1, Question 9: the question as drawn in Eduly's video4:43

Step 1

Write the position vectors from the given coordinates: OA = 2i + 3j and OB = -2i + 5j.

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

Final answer

(a) C = (10, −1) (b) |AC| = 4√5 units (≈ 8.94 units)

Where students lose marks

Watch out: subtracting 2OB flips every sign inside the bracket; AC is OC − OA (end minus start); simplify √80 to 4√5.

Watch every step of this question solved on video (4:43), with the reason behind each step and a box that checks your own answer.

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