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alex41 [277]
3 years ago
12

Find an equation of the plane passing through (0 comma negative 1 comma 1 )that is orthogonal to the planes 3xplus4ynegative 3ze

quals0 and negative 3xplus2yplus4zequals5.
Mathematics
1 answer:
galben [10]3 years ago
7 0

Answer:

The equation of plane is

22x -3y+18z = 21

Step-by-step explanation:

We have to find the equation of plane passing through the point (0,-1,1) and orthogonal to the planes

n_1:3x + 4y-3z = 0\\n_2:-3x + 2y + 4z = 5

Thus, we can write:

n_1:\\n_2:

We will evaluate:

n = n_1\times n_2\\\\n = \left[\begin{array}{ccc}i&j&k\\3&4&-3\\-3&2&4\end{array}\right] \\\\n = i(16 + 6)-j(12-9) +k(6+12)\\n = 22i-3j+18k\\n =

The required plane passes through the point (0,-1,1)

Thus, the equation of plane is

n.=0\\\Rightarrow .=0\\\Rightarrow 22(x) -3(y+1) + 18(z-1) =0\\\Rightarrow 22x - 3y - 3 + 18z - 18 = 0\\\Rightarrow 22x -3y+18z = 21

is the required equation of the plane.

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Completely factored form of xy^3 – x^3y?
Zolol [24]

Answer:

xy(y - x)(y + x)

Step-by-step explanation:

take out a common factor xy from both terms

= xy(y² - x²)

y² - x² is a difference of squares and factors in general as (y - x)(y + x)

Hence

xy³ - x³y = xy(x - y)(x + y)



8 0
3 years ago
Hfuuf help me plsssss​
denpristay [2]

Answer:

a) 26

b) 26/3

Step-by-step explanation:

a)

1) First, you have to turn 4 1/3 into an improper fraction, so you get 13/3

2) Then you do 13/3 *6/1 =78/3 (so you multiply both numerators and denominators)

3) Lastly, 78/3 can be simplified as 26

b)

1) First you turn both fractions into improper fractions, so you get 13/5 and 10/3

2) Then you do 13/5*10/3 (so you multiply both numerators and denominators)

3) You get 130/15, which can be simplified as 26/3

4 0
3 years ago
Help!!! What’s x/3=-8
mixer [17]

Answer:

x = -24

Step-by-step explanation:

We gotta get rid of that 3 under x, so we multiply the reciprocal of 1/3, which is 3, if we multiply that on one side, we must also multiply on the other side.

3 · x/3 = -8 · 3

x = -24

Hope this helps! good luck on whatever you're doing :]

5 0
3 years ago
Solve this and please try to explain also​
olchik [2.2K]
It’s so easy 2*2=4 x=2
8 0
3 years ago
Someone help me this is due tm
grandymaker [24]

Answer:a I think although I’m really tired

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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