Mathematics 10 — Exercise 6.2 · Q1 (i)

Full question

For the following vectors, find a+b.

Step-by-step solution

1. The orders match. Combine only entries in the same row and column.

   $$(\left[\begin{array}{c}7\\ -3\end{array}\right],\left[\begin{array}{c}1\\ 5\end{array}\right])$$

2. Entry (1,1): add the corresponding entries.

   $$7+1=8$$

3. Entry (2,1): add the corresponding entries.

   $$-3+5=2$$

4. Place the calculated entries in their original row and column positions.

   $$\left[\begin{array}{c}8\\ 2\end{array}\right]$$

5. The first component multiplies î, the second multiplies ĵ.

   $$8\times î+2\times ĵ$$

Answer

The final answer is shown below.