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Crank
2 years ago
14

Brainlyest

Mathematics
1 answer:
evablogger [386]2 years ago
7 0
A. 36/a
B. 55-b
C.18+c
D.49d
E.e/62
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Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).
ser-zykov [4K]

Answer:

The nonzero vector orthogonal to the plane is <-9,-8,2>.

Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

\overrightarrow {PQ}==

\overrightarrow {PR}==

The nonzero vector orthogonal to the plane through the points P,Q, and R is

\overrightarrow n=\overrightarrow {PQ}\times \overrightarrow {PR}

\overrightarrow n=\det \begin{pmatrix}i&j&k\\ \:\:\:\:\:-2&3&3\\ \:\:\:\:\:-2&2&-1\end{pmatrix}

Expand along row 1.

\overrightarrow n=i\det \begin{pmatrix}3&3\\ 2&-1\end{pmatrix}-j\det \begin{pmatrix}-2&3\\ -2&-1\end{pmatrix}+k\det \begin{pmatrix}-2&3\\ -2&2\end{pmatrix}

\overrightarrow n=i(-9)-j(8)+k(2)

\overrightarrow n=-9i-8j+2k

\overrightarrow n=

Therefore, the nonzero vector orthogonal to the plane is <-9,-8,2>.

8 0
3 years ago
Kim took C dollars to the sporting goods store to spend on new cleats. If the cleats cost $53.62, which of the following express
Mila [183]
C-53.62 times however many she bought.

so c-(53.62x)

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8 0
3 years ago
What is the expanded form of this number?
k0ka [10]

Answer:

B

Step-by-step explanation:

I think it is No am not sure exactly

5 0
2 years ago
Read 2 more answers
Hana rents a car for a day. Her car rental company charges $50 per day and $0.40 per mile. Peter rents a car from a different co
erastova [34]

50 + .4x = 70 + .3x

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x = 200

Let x be the number of miles.

They have to drive 200 miles.

4 0
3 years ago
A cube with an edge of length s has the same volume as a rectangular solid with dimensions 3 by 8 by 9. What is the value of s?
olga_2 [115]

Value?

The Value should be 3x8x9=24x9= 216

s=6

6 0
3 years ago
Read 2 more answers
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