3D space (HSC SSCE Mathematics Extension 2): Quizzes

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3D Space
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10 questions from this quiz

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What are the coordinates of point (3, 4, 5)?

(3, 4, 5)

What does the normal vector define in a plane?

Direction of the plane

How many octants are in 3D space?

8

What is the distance formula in 3D space?

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

What is the center of a sphere from (x-1)^2 + (y+2)^2 + (z-3)^2 = 14?

(1, -2, 3)

What does a point in 3D space represent?

A specific location

What is the equation of a plane?

ax + by + cz = d

What is the radius of the sphere from x^2 + y^2 + z^2 - 2x + 4y - 6z + 10 = 0?

√14

What does the term '3D Cartesian system' refer to?

A 3D coordinate system

What is the significance of the distance formula?

To measure distances

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