Question

If a=[5,−5] and b=[−5,5], find a,b

Answer 1

The vectors
`\( \mathbf{a} \) and \( \mathbf{b} \)` are as follows:
`\( \mathbf{a} = [5, -5] \)` and
`\( \mathbf{b} = [-5, 5] \)` .

Step-by-step explanation:

To determine the vectors
`\( \mathbf{a} \)` and
`\( \mathbf{b}` given in the question, we examine the provided components. For vector
`\( \mathbf{a} \)`, the components are 5 and -5, respectively, while for vector
`\( \mathbf{b} \)`, the components are -5 and 5. Therefore, the vectors
`\( \mathbf{a} \)` and
`\( \mathbf{b} \)` are expressed as
`\( \mathbf{a} = [5, -5] \)` and
`\( \mathbf{b} = [-5, 5] \)` .

These vectors represent points in a two-dimensional space. The first component of each vector corresponds to the x-coordinate, and the second component corresponds to the y-coordinate. In the case of
`\( \mathbf{a} = [5, -5] \)`, it means the point is located at (5, -5), and for
`\( \mathbf{b} = [-5, 5] \)` , the point is located at (-5, 5).

In summary, the final answer provides the specific values for the vectors
`\( \mathbf{a} \)` and
`\( \mathbf{b} \)` :
`\( \mathbf{a} = [5, -5] \)` and
`\( \mathbf{b} = [-5, 5] \)`.