3D Coordinate Geometry Concepts

The video tutorial explains how to graph 3D vectors on a three-dimensional set of axes. It covers plotting points, forming a parallelogram, constructing a box, and drawing vectors from the origin. The tutorial includes two examples to illustrate the process, emphasizing the importance of maintaining parallel lines to the axes.

What is the first step in graphing 3D vectors?

• Understanding the axes

• Drawing a 2D grid

• Identifying the origin

• Labeling the axes

Which axis is represented as coming out of the page towards you?

• X-axis

• Z-axis

• Y-axis

• None of the above

In which direction is the positive Y-axis oriented?

• Left

• Right

• Up

• Down

How do you determine the negative direction of the X-axis?

• By moving away from the origin

• By moving towards the origin

• By moving to the left

• By moving to the right

What is the first coordinate in the example point plotted?

• -3

• 2

• 4

• -2

How many corners does the parallelogram have in the XY plane?

• Two

• Five

• Four

• Three

What is the purpose of connecting the points in the XY plane?

• To form a circle

• To form a line

• To form a parallelogram

• To form a triangle

What is the next step after forming a parallelogram in the XY plane?

• Labeling the points

• Coloring the parallelogram

• Extending it into a 3D box

• Drawing a circle

How do you ensure the sides of the box are parallel?

• By drawing freehand

• By aligning with the axes

• By measuring each side

• By using a ruler

What is the Z-coordinate in the example point?

• -2

• 4

• -3

• 2