contestada

Use the given points to answer the following questions.

A(−4, 0, −8),
B(3, 3, −7),
C(1, 4, 9)

1. Which of the points is closest to the yz-plane? A B C
2. Which point lies in the xz-plane? A B C

Respuesta :

Answer:

1) C

2) B

Step-by-step explanation:

1) If a point lies ON the yz-plane, no matter what its coordinates are, one thing is for sure that its x-coordinate will always be zero! (this is helpful for visualization).

This information can guides us about which coordinate is responsible for how close or far we are to yz-plane!

The closest point to yz-plane would be the point the smallest value of x-coordinate. regardless of the the side.

here, among A,B, and C. C has the smallest x-coordinate, hence C is closest to the yz-plane.

2) If a point lies on xz plane, no matter what its coordinates are, its y-coordinate will always be zero.

Hence, among A,B, and C. A is the coordinate with y-coordinate as 0. Hence, B lies on the xz-plane.

Cetacea

C is  closest to the yz-plane.

A lies in the xz-plane.

The distance of a point (x, y, z) from the yz plane is = |x|.

So for the small |x|, the point will be closest to yz plane.

Among A, B, C:  C has the smallest [tex]|x| = |1| =1[/tex].

So, C is  closest to the yz-plane.

If the point lies in the xz-plane, then y=0.

Only A has y = 0.

So A lies in the xz-plane.

Learn more: https://brainly.com/question/1214333

Otras preguntas