Find the equation of the plane in xyzxyz-space through the point p=(5,5,3)p=(5,5,3) and perpendicular to the vector n=(1,2,5)

1 answer:

6 0

Given that the plane is perpendicular to the vector <1,2,5>, this means that the normal vector of the plane is <1,2,5>.

Given that the plane passes through point (5,5,3), the equation of the plane is therefore:
Π : 1(x-5)+2(y-5)+5(z-3)=0
on simplifying, x-5+2y-10+5z-15=0
Π : x+2y+5z=30

You might be interested in

Hlp hlp hlp hlp hlp hlp hlp hlp hlp hlp hlp hlp hlp hlp h

Lynna [10]

Answer:

write 16 in the soup column and 27 in the peanut butter column

6 0

2 years ago

Miss Barton and three neighbors purchase a snowblower to share. If the snow blower cost for 439.20, describe how you can estimat

faust18 [17]

Each person will have to pay 700 dollars

5 0

3 years ago

Write an expression that represents the product of q and 8, divided by 4.

Sholpan [36]

Answer:

8 q / 4 =2q

Step-by-step explanation

6 0

3 years ago

Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How

mylen [45]

Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

$D=C+4...(1)$

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be $D+3$ and $C+3$ respectively.