Question

Consider the two statements

Statement 1: To each point P in the space there corresponds an ordered triplet (x, y, z) of real numbers.

Statement 2: Given any triplet (x, y, z), we would first fix the point P in the space to which it corresponds

The two statements are

• A. Both true
• B. Only Statement 1 but not Statement 2 is true
• C. Only Statement 2 but not Statement 1 is true
• D. Both statements are not true

Answer 1

The correct option is A

Both true

To each point P in the space there corresponds an ordered triplet (x, y, z) of real numbers. Conversely, given any triplet (x, y, z), we can find a point corredponding to it in the space. Just as, to each point P in the plane there corresponds an ordered pair (x, y) of real numbers. Conversely, given any pair (x, y), we can find a point corresponding to it in the plane.