Question

Two vectors are shown on the grid

below.
Write a + b as a column vector.
a=(³)
b
+ Zoom

Answer 1

The value of A + B is
`\left[\begin{array}{ccc}10\\ 2\end{array}\right]`

Step 1: Identify the vector components.

From the image, we can identify the components of each vector:

Vector a: [[3], [4]]

Vector b: [[7], [-2]]

Step 2: Add corresponding components.

To find the sum of the vectors, we add the corresponding components of a and b:

a + b = [[3] + [7], [4] + [-2]]

a + b = [[10], [2]]

Step 3: Interpret the result.

Therefore, the column vector [[10], [2]] represents the sum of the vectors a and b, which is written as a + b.