3D Diagonal

Week 15 Applications

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Coordinate geometry

Review what we have seen on class about midpoint and distance formulas

Now watch the following video explaining the distance formula in a 3D space:

https://www.youtube.com/watch?v=0c6cP2zLC2c

YouTube: How To Find The Distance Between 2 Points In 3D Space

Multiple Choice

According to the video. The formula for the distance between 2 points in a 3D space uses Pythagorean theorem

• Once

• Twice

• Three times

Multiple Choice

For the cuboid, the coordinates of point B are:

• (6,7,4)

• (6,7,0)

• (0,7,4)

Multiple Choice

For the cuboid, the coordinates of point A are

• (6,7,4)

• (6,7,0)

• (0,7,4)

Multiple Choice

For the cuboid, find the coordinates of the midpoint, M, of the diagonal [AO] of the cuboid

• (2, 7/2, 2)

• (3, 7/2, 2)

• (3, 7/2, 3)

Fill in the Blanks

A fountain has a circular shape. The diameter of the circle has endpoints A(1,7) and B(-2,1). Find the circumference of the fountain (answer to 3 sf).

Fill in the Blanks

Find the distance between the pair A(1,-2,10) and B(-4,0,3) (answer to 3 sf)