Mathematics 10 — Exercise 6.1 · Q4 (ii)

Full question

Write vector AB in î and ĵ form.

Step-by-step solution

1. Vector from the first point to the second is endpoint minus starting point.

   $$12\times î+3\times ĵ-(8\times î+9\times ĵ)$$

2. Subtract the matching starting coordinate from the endpoint coordinate.

   $$12-8=4$$

3. Subtract the matching starting coordinate from the endpoint coordinate.

   $$3-9=-6$$

4. Write the two calculated components as a vector.

   $$4\times î-6\times ĵ$$

Answer

The final answer is shown below.