Question

Two column vectors are shown on the grid
Write a+b as a column vector

Answer 1

The value of the vector a + b as a column vector is
`\text{a + b} = \left[\begin{array}{c}-2\\6\end{array}\right]`

Writing the vector a + b as a column vector

From the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

`a = \left[\begin{array}{c}3\\4\end{array}\right]`

Reading from the graph, we have

`b = \left[\begin{array}{c}-5\\2\end{array}\right]`

Using the above as a guide, we have the following:

`\text{a + b} = \left[\begin{array}{c}3\\4\end{array}\right] + \left[\begin{array}{c}-5\\2\end{array}\right]`

Evaluate the sum

`\text{a + b} = \left[\begin{array}{c}-2\\6\end{array}\right]`

Hence, the vector a + b as a column vector is
`\text{a + b} = \left[\begin{array}{c}-2\\6\end{array}\right]`