Mathematics 10 — Exercise 6.1 · Q9 (iii)

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.

   $$\lambda =\frac{6}{5}$$

3. Reduce that quotient.

   $$\lambda =\frac{6}{5}$$

4. Check the vertical component using the same scalar.

   $$(\frac{6}{5}\times \left(-4\right)=-\frac{24}{5},-3)$$

Answer

Not parallel.