All categories

3 years ago

Find an equation of the plane that passes through the points p, q, and r. p(7, 2, 1), q(6, 3, 0), r(0, 0, 0)

Mathematics

1 answer:

Alona [7]3 years ago

3 0

Answer:

x - 2y - 3z = 0

Step-by-step explanation:

The cross product of vectors rp and rq will give a vector that is normal to the plane:

... rp × rq = (-3, 6, 9)

Dividing this by -3 (to reduce it and make the x-coefficient positive) gives a normal vector to the plane of (1, -2, -3). Usint point r as a point on the plane, we find the constant in the formula to be zero. Hence, your equation can be written ...

... x -2y -3z = 0

You might be interested in

A bicycle tire is slowly losing air. the table shows the air pressure left in the tire after each hour. Which statement about th

kolezko [41]

Answer:

the data shows a linear relationship because the rate of change in decreasing

Step-by-step explanation:

hope it helps

3 0

2 years ago

Aku orang Indo,Ada yang mau temenan ?

Elis [28]

Answer:

tolong tandai saya cerdas

Step-by-step explanation:

tentu aku akan senang berteman denganmu

5 0

2 years ago

Read 2 more answers

Can anyone help me on this? Vocabulary for segment of a tangent that has an endpoint that has an point of u tangency

Alik [6]

Answer:

Tangent segment ? I think. I don't know for sure because of the way you wrote the question- I got a bit confused.

7 0

2 years ago

A lifeguard is in a look out chair and sees a person in distress. The eye level of the lifeguard is 15 feet above the ground. Th

faltersainse [42]

Answer:

Horizontal distance between lifeguard and the person is 22 feet.

Step-by-step explanation:

Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.

To find: Horizontal distance between lifeguard and the person.

Solution : If we draw a triangle then tan∅ = $\frac{height}{base}$

Here base is the horizontal distance.

Now we put the values in the formula.

tan 34° = $\frac{15}{base}$

Or Base = $\frac{15}{tan34}$

= $\frac{15}{0.675} = 22.22 feet$

So the answer is 22 feet.

7 0

2 years ago

Do you like forgs???

just olya [345]

Answer:

there ok

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Find an equation of the plane that passes through the points p, q, and r. ​ p(7, 2, 1), q(6, 3, 0), r(0, 0, 0)

Find an equation of the plane that passes through the points p, q, and r. p(7, 2, 1), q(6, 3, 0), r(0, 0, 0)