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Three-Dimensional Coordinates and the Right-Hand Rule

Three-Dimensional Coordinates and the Right-Hand Rule

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial introduces the concept of three-dimensional coordinate systems, explaining how to extend the two-dimensional coordinate plane by adding a z-axis. It covers the right hand rule for determining axis orientation, describes the three coordinate planes and octants in 3D space, and explains how to calculate distances between points using an extended distance formula. The tutorial also discusses visualizing 3D space on 2D surfaces and the algebraic representation of lines and planes.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the additional axis called that is added to create a 3D coordinate system?

z-axis

w-axis

u-axis

v-axis

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which rule helps determine the positive direction of the axes in a 3D coordinate system?

Left-hand rule

Right-hand rule

Thumb rule

Finger rule

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many coordinate planes exist in a 3D space?

Two

Four

One

Three

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In 3D space, how many octants are there?

Ten

Eight

Six

Four

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does assigning a constant value to a variable in 3D space produce?

A cube

A plane

A line

A point

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to calculate the distance between two points in 3D space?

x1 + y1 + z1

x2 - x1 + y2 - y1 + z2 - z1

(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2

x2 + y2 + z2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical theorem is used to derive the 3D distance formula?

Binomial theorem

Fundamental theorem of calculus

Fermat's Last Theorem

Pythagorean theorem

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