Mathematics 10 — Exercise 6.1 · Q9 (ii)

Full question

Decide whether these vectors are parallel.

Step-by-step solution

1. Two nonzero vectors are parallel if the SAME scalar multiplies both components.

2. Use the horizontal components to find the possible scalar.

   $$\lambda =\frac{6}{-2}$$

3. Reduce that quotient.

   $$\lambda =-3$$

4. Check the vertical component using the same scalar.

   $$(\left(-3\right)\times 3=-9,-9)$$

Answer

Parallel.