Quiz for:
Understanding 3D Coordinate Systems and Vectors

Question 1

What does the Z-axis represent in the 3D coordinate system?

Question 2

How do you find a unit vector if given (x, y, z) coordinates?

Question 3

What is required to properly plot a point in a 3D space?

Question 4

How is the magnitude of a vector in 3D calculated?

Question 5

What concept involves using parallel lines to find perspective on plotted points?

Question 6

How does the equation of a circle change when it becomes a sphere in 3D?

Question 7

Which of the following is NOT a concept introduced by moving to 3D from 2D?

Question 8

How many octants are there in a 3D space?

Question 9

When are two vectors considered parallel in 3D space?

Question 10

What is the significance of identifying isosceles triangles in 3D geometry?

Question 11

Which plane is formed by the X and Y axes in 3D space?

Question 12

What is the purpose of the YZ plane in the 3D system?

Question 13

In the context of planes in 3D, what is the geometry of 'x = 2'?

Question 14

What is the right-hand rule used for in the 3D coordinate system?

Question 15

What does 'completing the square' determine for spheres in 3D?