Hwi Sind the vecter Paralle I to the line metersell bet ween the flanes and X+y=2 2) X-2y+47-2 and X+Y-27=5

Q: Find paromet ric aquation of Line L where to paiut A(Xmiya) is and

A:

Q: A________ is the set of points P in the plane such that the ratio of the distance from a fixed point…

A: The conic section is known as the set of points, in which the curve of any of the conic, that are,…

Q: 4z: Given two lines (z++l, 5t-5,lot )f ( 34, zt+3, zt+1) located in Sicde plane, fine th plane ?

A: Equation of the plane passing through to lines can be calculated as below,

Q: Use Eq. (5) to find the point P nearest to Q = (2, 1, 2) on the plane x+y+z=l.

A: Consider the provided information, Find the point P. The normal vector to the plane is 1,1,1. And…

Q: 3. Sketch the points determined by the following. (a) Iz+1-i = 2 %3D (b) Im(2z +i) +1=0

A:

Q: O Find all values of t such dhat dhe dangent line a CI()=<E,tit3-37 is parallel to xy-plane.

A: Given:-r→(t)=&lt;t, t, t3-3&gt; and the tangent line parallel to XY-plane (z=0)now,tangent vector on…

Q: What is dyldx at the point (1,2) of xy^2 + 2xy 8 ?

A: The given equation is: xy2+2xy=8...(1)

Q: 4. (a) Show that the line l given by l: 1= 2+3t, y=1+4t, z= 5+ 2t, te R, lies in the plane II given…

A: Given problem:- Show that the line  given by   l : x = 2 + 3t , y = 1 + 4t , z=5+2t ,t in R   lies…

Q: At what point does the line: L: x=-1, y= 10 + 31, z= 4 +3t im plane 1:x- 2y + 5z + 16 = 0?

A:

Q: If V = Ai - j +sk and Vz= 41+2j +4k, Find Value of (A) so that the length of Projection of V ont Vz…

A: Use the formula for length of projection of a vector onto another vector

Q: 1. Determine whether the lines L₁ given by z=t, y=1 with -∞ <t<∞o) and L₂ given by z=2+s, y = 3-2…

A: Introduction: If two lines are parallel then the ratio equality is true between them. And if two…

Q: Evaluate F- dr where F(, y, z) = (1.5yz cos(ryz), 1.5xzcos(ryz), 1.5xy cos(ryz)) and C (*) is the…

A: We need to evaluate the line integral between the two points.

Q: The distance from a point P1(x1, Y1) to the line ax + by +c = 0 is laxi + by, + c] Va? + b2 Use this…

A:

Q: e hy inluetin on m76 thut an cam be subdivileed into equel atiral sub-triamnglho lof possibly…

A: Statement:- Prove by induction on n≥6 that an equilateral triangle can be sub divided into n…

Q: 22 Prove that the line Z=2+46 is perpendicular to thme plane X-2y+2=6

A: As per our guideline we are supposed to do 1 question at a time. Please post other questions next…

Q: Verify Green's theorem in the plane for M = -2y and N = x , where C is the semi circle x2 + y? = 9,…

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Q: -x2 +y ar 49 xy plane: y? x 25 y? plane: y? as 49 2.

A: To sketch the graph of: -x29+y225-z249=1.

Q: Evaluate the line integral 2ydx + 5xdy where C is the straight line path from (1, 2) to (6, 5). Г…

A:

Q: where Projuct of in tegra tion SÃr dR A-zi-xj-YK and =dxi +arj +dzK dR and %3D the seguent of the…

A: Use line integral

Q: Find the length of the curve. 2,3/2,0 st s9 x= 4t, y 3 61 242 2 3 O 2. seçenek 4. seçenek 122 61 3 3…

A: We can find the arc length as below

Q: ARST is reflected across a line so that T'has coordinates (1, 3). What are the Coordinates of S'? R…

A: Given: R=-4,4S=0,-2T=-3,-1

Q: A plane can be determined by points, that are not on the same line. OA. unable to be determined OB.…

A:

Q: Given the line integral | (2x2° + 6y) da + (6x – 2yz) dy + (3a² z² – y²) dz. Let C be the path that…

A: Note that the following integral reduces like this :

Q: 1 Identify the statement as true or false and justify your answer. If m is perpendicular to plane T…

A:

Q: What is the equation of a line that is paralel to the ine that goes through the points (2.0) and…

A: We know that the slopes of two parallel lines are equal. If the slope of the first line is m1 and…

Q: (2t+l, st-5, lot ) f 4z: Given two lines ( 34, 2++3, zt+1) located in Sice the plane ? plane, find

A: The required equation for the plane is calculating by the below method.

Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z+ 6 = 0 is 3.7 True O False

A:

Q: Suppose that two lines Re((1+i)z+2i+3) = 0 and Re(2-bi)z+5) = 0 are perpendicular. then b=.

A:

Q: W is the midpoint If mLV = 57°, then %3D If WY = 23, then VZ %3D If VZ = 82, then WY If MLXYW = 73°,…

A: Given, Here W and Y are mid point of VX and ZX Then, by Midpoint theorem WY||VZ Also WY=(1/2)VZ

Q: The lines (t) = 2+2t, y(t) = 1 – t, z(t) = 3+t %3D and x(s) = 1+2s, y(s) = -s, z(s) = 4+s are…

A: Let P1x1,y1,z1 and P2x2,y2,z2 be the points on the lines l1 and l2, respectively. Let v1→ and v2→ be…

Q: (4x + 25) and (5x + 12) and z = 13 Complete the proof to prove line m and n parallel given 8% = m 27…

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Q: Given: YZ and WZ are tangent to drde X, mWY =90°. Prove: WXYZ Is a square. Y. W Z because it is a…

A:

Q: Show that the plances x + y – z = 1 perpendicular. and 2x – 3y + 4z = 5 are neither parallel nor

A:

Q: Q2:Prove that the line (x-1)/2=(y+1)/3=(z-2)/(4 ) is parallel to the plane x-2y+z=6 ?

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Q: +4z=8 and

A: The equation of the plane as, x+z=1orx+0y+z=1 Here, a1 =1,b1 =0,c1 =1. and x+2y+4z=8 Here, a2 =1,b2…

Q: Evaluate the line integral 3ydx + 6xdy where C is the straight line path from (1, 2) to (6, 5). Sc…

A:

Q: Let s(xy) = x²+y²_2x – 16y +10 =0 a cirdle be L (xy) = X-5y + 10=0 be a line.

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Q: In ATUV, TU II WX. Given that VT=21, VW=9, and TU=49, find WX. T W U -0 WX=

A:

Q: What would allow you to prove AQRS = AXYZ by HL? R4 A ZQS = ZXZ B ZR ZY CZQ ZX D ZQ and X are right…

A:

Q: Let C be the line segment connecting 0 to ni. Then ſ. 1-e2z dz = а. 0 b. -0.5 + ni c. πί d. None of…

A: since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: 9. Miguel knows that in ACAT, point H and point Y are the midpoints of CĀ and CT respectively. Which…

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Q: O whion of the line: y--2x+8 Poliowing line5 ave perpendicular to this. B. ut

A:

Q: Find the distance from the point (0,0, 0) to the line a = 5 + 3t, y = 5+ 4t, z =-3 - 5t. Lütfen…

A: Definition used -              If we have a parametric equation of a line-…

Q: Let fiz) = x2 + iy? where x and y are the real and imaginary parts, respectively of z and C is a…

A:

Q: Let C be the line segment connecting 0 to ni. Then . 1-e2z dz = %3D a. 0 b. -0.5 + ni C. Ti d. None…

A: I am going to calculate the given problem by integrating over the given limits.

Q: ind the point at which the line intersects the given plane. x = 4 – 4t, y = 5t, z = 1 + t; x + 2y –…

A:

Q: Let f(z) = x² + iy where x and y are the real and imaginary parts, respectively of z and C is a…

A: ii

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.