Question

A. Consider all the vectors [x y ] with the condition x+y ≥0. B. Consider all the vectors [ x y] with the condition x² + y² = 1

C. Consider all the vectors [ x y] that satisfy the following condition: Please specify the characteristics or conditions for set C.

Answer 1

The question deals with vectors in a Cartesian coordinate system, where conditions such as non-negative sum of components or unit circle constraints define certain sets of vectors. Set C would also have its own unique condition; however, it was not specified in the question.

Step-by-step explanation:

When dealing with vectors in a two-dimensional space, understanding the Cartesian coordinate system is crucial. A vector in this system is represented as [x y], where 'x' is the x-component and 'y' is the y-component. For a vector to satisfy a specific condition such as x + y ≥0, it simply means that the sum of its components must be non-negative, which includes the x-axis, y-axis, and the area above the line y = -x in the coordinate plane. If the vector must satisfy x² + y² = 1, then it is constrained to the points that lie on the unit circle centered at the origin with a radius of 1.

Thinking about set C, it would also define a specific set of vectors that have particular characteristics or obey a certain equation that relates their x and y components. The characteristics of this set would depend on the condition given, which has to be specified to understand the nature of vectors in set C.