1

Given are (1) a plane through $(2,0,-1)$ and perpendicular to $\left[\begin{array}{r}-1 \\ 1 \\ 3\end{array}\right]$ and ( 2 ) a line through the points $(1,0,-2)$ ...

Question

Given are (1) a plane through $(2,0,-1)$ and perpendicular to $\left[\begin{array}{r}-1 \\ 1 \\ 3\end{array}\right]$ and ( 2 ) a line through the points $(1,0,-2)$ and $(-1,-1,1)$. Where do the plane and the line intersect?

Given are (1) a plane through $(2,0,-1)$ and perpendicular to $\left[\begin{array}{r}-1 \\ 1 \\ 3\end{array}\right]$ and ( 2 ) a line through the points $(1,0,-2)$ and $(-1,-1,1)$. Where do the plane and the line intersect?



Answers

Find an equation of the plane.

The plane through the origin and the points $ (3, -2, 1) $ and $ (1, 1, 1) $


Similar Solved Questions

5 answers
Question 1 (10 points) Consider the matrices: A = % B= [9 % c= [? & *= [] points) Determnine D 80 that A + B = 24- B +D((3 points) Solve for * in the linear" system given by C '* =points) Evaluate (A. B) and (B.A) * Are these expressions the same? Show all your' work!
Question 1 (10 points) Consider the matrices: A = % B= [9 % c= [? & *= [] points) Determnine D 80 that A + B = 24- B +D ((3 points) Solve for * in the linear" system given by C '* = points) Evaluate (A. B) and (B.A) * Are these expressions the same? Show all your' work!...
5 answers
18) A uniform electric field E=4.70NIC The x and points in the negative coordinates = direction shown in the Fig: of points A, B,and C are _ the differences given on the diagram (in meters) Determine polential (a) VBA (b) VCB, and VcA ' C(-3.00.4.00)- B(4.(0. 4.0N)A(4.0O_ [.OQ)
18) A uniform electric field E=4.70NIC The x and points in the negative coordinates = direction shown in the Fig: of points A, B,and C are _ the differences given on the diagram (in meters) Determine polential (a) VBA (b) VCB, and VcA ' C(-3.00.4.00)- B(4.(0. 4.0N) A(4.0O_ [.OQ)...
5 answers
(3) Examine the following functions for the existence of partial derivatives at (0,0) _ The expressions below give the value at (€,y) # (0,0). At (0,0) , the value should be taken as zero_ (22 _ y2) sin? (r + y) ry? 22 + y2 ~y (ii) (iii) (iv) 32 + y2 Izl + lyl x + y2 ' Izl + lyl"
(3) Examine the following functions for the existence of partial derivatives at (0,0) _ The expressions below give the value at (€,y) # (0,0). At (0,0) , the value should be taken as zero_ (22 _ y2) sin? (r + y) ry? 22 + y2 ~y (ii) (iii) (iv) 32 + y2 Izl + lyl x + y2 ' Izl + lyl"...
5 answers
2_ Now consider the functions f6)-(2) and g6)-() Graph these functions by filling in the table below. Label each of your graphs. y= f(x) y=g(x)~20Why do these functions decrease when the graphs in (1) increased (as x gets larger)?(b) What are the domain and range of each of these functions?(c) Do these functions have any asymptotes?
2_ Now consider the functions f6)-(2) and g6)-() Graph these functions by filling in the table below. Label each of your graphs. y= f(x) y=g(x) ~2 0 Why do these functions decrease when the graphs in (1) increased (as x gets larger)? (b) What are the domain and range of each of these functions? (c) ...
5 answers
1ptsQuestion 1student i cons(ructing soco ogica prolile students her slale universily. collect dala queslions 311 sludents about thelr daling habits a5 thoy oave Ihe student union building:Which of Ihe following wouldpossible Eounebias Ihis study?There are no potential sources ol bias in this sampleBccause J systematic samplc used,the samp of thc population:not be representativeBecause " the personal nature ofthe subject matter; subjects HWlay not swrer honestly
1pts Question 1 student i cons(ructing soco ogica prolile students her slale universily. collect dala queslions 311 sludents about thelr daling habits a5 thoy oave Ihe student union building: Which of Ihe following would possible Eoune bias Ihis study? There are no potential sources ol bias in this ...
2 answers
(6 points) Construct the circuit gates (AND, OR, NOT_) to implement function give by_the logic expression (X^~Y^~Z)V (~X^~Z) or the Boolean function F = XY Z+XZ
(6 points) Construct the circuit gates (AND, OR, NOT_) to implement function give by_the logic expression (X^~Y^~Z)V (~X^~Z) or the Boolean function F = XY Z+XZ...
5 answers
1 8 [ 1 Rle0 1 [ L
1 8 [ 1 Rle 0 1 [ L...
5 answers
The "denature" step of PCR serves pretty much the same function as helicase does in DNA replication: 0 True False
The "denature" step of PCR serves pretty much the same function as helicase does in DNA replication: 0 True False...
3 answers
Let fProve that there exist surjection g X + A where A € X and injection h : A Y such that =ho g. In other words _ prove that any function can be written as a composition of a surjection and an injection.
Let f Prove that there exist surjection g X + A where A € X and injection h : A Y such that =ho g. In other words _ prove that any function can be written as a composition of a surjection and an injection....
5 answers
Conaiderche Lewis structures of two isomers of butane (CaHo) shown below:CorpoundCompoand BWhich of the following statements is/are CORRECT ? Compound A has higher boiling point than Compound B. Compound A has a higher viscosity than Compound B Compound has higher vapor pressure than Compound B0 ! IL,and IlITonlyTand Il onlyIl only0 (and IIl only
Conaiderche Lewis structures of two isomers of butane (CaHo) shown below: Corpound Compoand B Which of the following statements is/are CORRECT ? Compound A has higher boiling point than Compound B. Compound A has a higher viscosity than Compound B Compound has higher vapor pressure than Compound B 0...
5 answers
Sider: lengt= 216+2 Width= 41 + 1pnmere =2L+2WArca= LxWThe Area of the rectangle is:O18V3 + 2OV6 +26OsV3 +2026 + 10V3Whal Is the perimeler of the reciangleCnv3 [email protected];O42V +
Sider: lengt= 216+2 Width= 41 + 1 pnmere =2L+2W Arca= LxW The Area of the rectangle is: O18V3 + 2 OV6 +26 OsV3 +2 026 + 10V3 Whal Is the perimeler of the reciangle Cnv3 +3 0GV3 @n2V; O42V +...
5 answers
Consider your eye; which has a spherical, single refracting surface provided by the cornea. If the eye had no lens we would see images in focus at only a single object distance. If the image distance from the cornea to the retina is 25 mm, the cornea's radius of curvatureis 0.5 cm, and the eye's index of refraction is taken as 1.35,at what is the object distance if the image is in focus on the retina? Answer in units of cm with all digits.
Consider your eye; which has a spherical, single refracting surface provided by the cornea. If the eye had no lens we would see images in focus at only a single object distance. If the image distance from the cornea to the retina is 25 mm, the cornea's radius of curvatureis 0.5 cm, and the eye&...
5 answers
The f H by the san? particle In the time Interval [0, 23] Write velocity: in units 1 U Daloog roendaxs ing started from the Orgn Find
The f H by the san? particle In the time Interval [0, 23] Write velocity: in units 1 U Daloog roendaxs ing started from the Orgn Find...
5 answers
QUESTION 18A physical change occurs when sugar is heated into caramel. occurs when propane is burned for heat. occurs when sand Is filtered from salt water occurs when glucose is converted into energy within your cells. occurs when Iron rusts_
QUESTION 18 A physical change occurs when sugar is heated into caramel. occurs when propane is burned for heat. occurs when sand Is filtered from salt water occurs when glucose is converted into energy within your cells. occurs when Iron rusts_...
5 answers
6.60 At 850*C, CaCOz undergoes substantial decomposi- tion to yield CaO and COz Assuming that the AH? values of the reactant and products are the same at 850PC as they are at 25*C, calculate the enthalpy change (in kJ) if 66.8 g of COz are produced in one reaction. 6.61 From these data.6.66.
6.60 At 850*C, CaCOz undergoes substantial decomposi- tion to yield CaO and COz Assuming that the AH? values of the reactant and products are the same at 850PC as they are at 25*C, calculate the enthalpy change (in kJ) if 66.8 g of COz are produced in one reaction. 6.61 From these data. 6.6 6....

-- 0.021572--