MRSM Trial 2025 Add Maths Paper 1, Question 5Vectors

Solved on video in English · Form 4, Vectors · 4:20 video

The question

(a)

It is given that vector AC = 7i + 5j and the coordinates of A and B are (2, 4) and (4, −3) respectively.

(a) Find vector BC.

(b)

(b) Find the unit vector in the direction of BC.

Step 1

Write the polygon (triangle) law: BC = BA + AC.

Why this step

We don't know BC directly. Going B → A → C ends at the same place as B → C, so BC = BA + AC.

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

Final answer

BC = 5i + 12j

Where students lose marks

Watch out: BA goes from B to A, so it is A − B, not B − A. Keep i and j components separate.

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

Final answer

(5/13)i + (12/13)j

Where students lose marks

Watch out: divide BC by its magnitude, don't just stop at |BC|, and keep vector notation (i and j) in the answer.

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.