Question

What steps would you use to plot (−3, −4, 0) in a 3-dimensional coordinate system?

a. From the origin, move back 3 units and down 4 units.
b. From the origin, move back 3 units and left 4 units.
c. From the origin, move down 3 units and left 4 units.
d. From the origin, move back 3 units and up 4 units.

Answer 1

a. From the origin, move back 3 units and down 4 units

Explanation:

Given:

The coordinates of a point in a 3-dimensional space is given as:

(-3, -4, 0)

The value of 'x' = -3

The value of 'y' = -4

The value of 'z' = 0

At the origin, the values of 'x', 'y', and 'z' are each equal to 0.

So, the coordinates of origin is (0, 0, 0). In order to reach the point (-3, -4, 0) from the point (0, 0, 0), we don't move along the z-axis as the 'z' value remains the same. We need to move along the 'x' and 'y' directions only.

Now, 'x' is equal to -3. Negative values of 'x' occur backwards from origin. So, we move back by 3 units. to reach the point (-3, 0).

Now, the value of 'y' is -4. Negative values of 'y' occur below the origin. So, we move down by 4 units to reach the point (-3, -4).

Therefore, the correct option is option (a)

A graph in 2 dimensional is shown in support of the answer.