Calculus III: Three Dimensional Coordinate Systems (Level 6 of 10)

The video covers three complex problems using the 3D distance formula. It starts with analyzing triangle PQR to determine its type, then finds points on a line perpendicular to the XY plane at a specific distance from another point. Finally, it identifies a point on the Y-axis equidistant from two given points.

How can you determine if a triangle is equilateral?

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What conditions must be met for a triangle to be classified as isosceles?

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Explain how the Pythagorean theorem is used to determine if a triangle is a right triangle.

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What is the distance formula used to find the lengths of the sides of a triangle in three dimensions?

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How do you simplify the square root of a number, and why is it important in finding the lengths of triangle sides?

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What is the significance of the hypotenuse in a right triangle?

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What are the coordinates of point P if it lies on line l that is perpendicular to the xy plane?

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Describe the process of finding points on line l that are at a specific distance from point B.

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What is the method to find a point on the y-axis that is equidistant from two given points?

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How do you apply the distance formula to find the distance between two points in three dimensions?

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