Question

A NASA mathematician used a system of equations to determine the point in space where a satellite crossed paths with a massive piece of space debris. How many equations did he need? And how many variables were needed to find the exact location in space?

A) 3 equations with 2 variables

B) 2 equations with 2 variables

C) 2 equations with 3 variables

D) 3 equations with 3 variables

Answer 1

Option D.

3 equations with 3 variables

Explanation:

The coordinates of a point in space must necessarily have 3 components. One to describe the distance on the x axis, another to describe the distance on the y axis to the point, and a third to describe the distance on the z axis.

If we have three variables, then 3 equations are needed to solve the system. With less than 3 equations it would be impossible to solver the system.

Therefore the correct answer is option D.

3 equations with 3 variables