SPM 2020 Add Maths Paper 1, Question 14Vectors

Solved on video in English and Bahasa Melayu · 8 marks · Form 4, Vectors · 4:37 video

The question

(a)

Diagram 6 shows the point A(4, 3) on a Cartesian plane. State vector OA in the form of a column vector (x, y).

[4 marks]

(b)

Point A(4, 3) is reflected about the y-axis to point A'. It is given OB = i + mj and the unit vector of A'B is n(10, 24) (column vector), where m and n are constants. Find the value of m and of n.

[4 marks]

SPM 2020 Add Maths Paper 1, Question 14: the question as drawn in Eduly's video4:37

Part (a)

Step 1

OA is the position vector of A measured from the origin O.

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

Final answer

OA = (4, 3) (column vector)

Part (b)

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

Final answer

m = 15, n = 1/26

Where students lose marks

Watch out: A'B = (5, m − 3) is not yet the unit vector. Divide it by |A'B| before comparing with n(10, 24).

Watch every step of this question solved on video (4:37), with the reason behind each step and a box that checks your own answer.

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