All categories

3 years ago

Find a normal vector n to the plane z−5(x−2)=2(8−y)

Mathematics

1 answer:

Hitman42 [59]3 years ago

7 0

A normal vector is the set of coefficients of x, y, and z when the equation is written in standard (or general) form.

Subtracting the left side, we have

... 2(8 -y) -z +5(x -2) = 0

... 16 -2y -z +5x -10 = 0

... 5x -2y -z +6 = 0 . . . . . general form

A normal vector is (5, -2, -1).

You might be interested in

...!!.!.!.!.!.!.!.!.!.!.!.!.

Schach [20]

Answer: It is proportional because 195/3 equals 65 and 325/5 equals 65 as well, so it is proportional.

Hope this helps! :)

5 0

3 years ago

Read 2 more answers

PLEASE ANSWERRRRRRRRRR

mash [69]

Answer: OPTION B.

Step-by-step explanation:

Given the following System of equations:

$\left \{ {{3x-5y=19} \atop {x+y=1}} \right.$

You can use the Elimination Method to solve it. The steps are:

1. You can mutliply the second equation by -3.

2. Then you must add the equations.

3. Solve for the variable "y".

Then:

$\left \{ {{3x-5y=19} \atop {-3x-3y=-3}} \right.\\.....................\\-8y=16\\\\y=\frac{16}{-8}\\\\y=-2$

4. Now that you know the value of the variable "y", you must substitute it into any original equation.

5. The final step is to solve for "x" in order to find its value.

Then:

$x+(-2)=1\\\\x=1+2\\\\x=3$

Therefore, the solution is:

$(3,-2)$

8 0

3 years ago

The sum of three numbers is 24. the largest number is three times the smallest, and the middle number is four less than the larg

tensa zangetsu [6.8K]

Small number =X
mid number = 3X-4
large number = 3x

X+3X-4+3X=24
7X-4=24
7X-4+4=24+4
7X=28
X=28/7
X=4

S=4
M=3(4) -4=12-4=8
L=3(4)=12

The numbers are 4,8 and 12

6 0

3 years ago

I need the answers for these please

Luda [366]

11.p=-8, 17-8=9
12.y=11, 3*11=33+16=46
13.t=4, 4*4=16-14=2
14.x=9, -9x 9*8=82-9=72-9=62
15.z=4, 12*4=48-18=30
16.g=0, 4*0=0, 7+0=7
17.x=4, 9*4=36-24=-3
18.q=3, 18*3=48+2=50
19.c=2, 3*2=6-4.5=4.1
20.y=4, 9+4=13+4.8=17.4

8 0

3 years ago

Find the measure of the unknown angle.

Tomtit [17]

Answer:

131° Degrees

Step-by-step explanation:

It's the same just put in different places

4 0

2 years ago

Read 2 more answers