Calculus III: Three Dimensional Coordinate Systems (Level 5 of 10)

Calculus III: Three Dimensional Coordinate Systems (Level 5 of 10)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

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The video tutorial covers the distance formula in a three-dimensional Cartesian coordinate system, providing examples to find the distance between points. It also explores the concept of collinearity, determining if points lie on a straight line using geometric relations. Finally, the video introduces the equations of circles and spheres in three-dimensional space, comparing them to their two-dimensional counterparts.

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10 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the distance formula used for in a three-dimensional Cartesian coordinate system?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the common mistake students make when using the distance formula.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine if three points are collinear?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What geometric relation can be used to verify if three points lie on the same straight line?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of finding the distance between two points in three-dimensional space.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation of a circle in two-dimensional space?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

In the context of the distance formula, what does it mean to square both sides of an equation?

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