Introduction to Three Dimensional Geometry, Course Quiz

What are the coordinates of a general point on the

z

-axis?

A

(z, z, z)

B

(z, 0, 0)

C

(0, 0, z)

D

(0, z, 0)

Which coordinate plane has equation

y = 0

?

A The

ZX

-plane

B The

XY

-plane

C None

D The

YZ

-plane

In which octant does

(4, -1, 2)

lie?

A VIII

B III

C I

D IV

In which octant does

(-3, -5, -1)

lie?

A VII

B III

C VI

D VIII

Find the distance between

(1, 1, 1)

and

(3, 4, 7)

.

A

11

B

49

C

7

D

\sqrt{11}

How far is

(1, 2, 2)

from the origin?

A

5

B

9

C

\sqrt{5}

D

3

How far is the point

(0, 3, 4)

from the origin?

A

25

B

5

C

7

D

3

A(1, 0, 0)

,

B(0, 1, 0)

,

C(0, 0, 1)

. What kind of triangle is

ABC

?

A Scalene

B Right-angled

C The points are collinear

D Equilateral

What is the set of points equidistant from

A(1, 0, 0)

and

B(3, 0, 0)

?

A The plane

x = 2

B The point

(2, 0, 0)

only

C The plane

x = 4

D The plane

y = 2

A point is

4

units directly above

(1, -2, 3)

, parallel to the

z

-axis. What are its coordinates?

A

(1, -2, 7)

B

(1, -2, -1)

C

(5, -2, 3)

D

(1, 2, 3)

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Introduction to Three Dimensional Geometry, Course Quiz

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