1 Q.5. Let a, = a and b = 3. For what values of h is bin the plane spanned by a, and

Q: and フドnd the eguafion f Plane hat Passes through PC1コーっる)mnel is Parallel te the Plane 3X++=7…

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Q: Let 6. 21 2 V2 = 4 9 For what value of h is y in the plane spanned by vj and v2? h =

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Q: Please solve

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Q: Which of the following sets of points are contained in morethan one plane?a. G. O. J b. E. O. G c.…

A: Consider the given figure as,

Q: 28. Which two of the following planes are perpendicular to each other A. x+ 2y +z = 3 and x-y = 0 B.…

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Q: Above the paraboloid z= 6-x-y² and under the plane z= 9 for x? +y? < 4 .

A: volume by double integral using  polar coordinate

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

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Q: W. AY Z. V WZ Given that VZ select the postulate or theorem that you can use to conclude that the =…

A: Here we show that two triangle are similar.

Q: 4- Find The cquation ofthe plane That pass hrangh the origin audat the poiat p(11)ond at is parallel…

A: To find the equation of plane passing through the origin, the point (1,1,1) and parallel to the line…

Q: IF fla) =V3x, g(x)= and h(x)= 6x-)0 %3D %3D Lind for mula For the following a) g(hiecs) b) h

A: We need to find: (a)g(h(f(x))) (b)h(f(g(x))) (c)h(g(f(x)))

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Q: 8 Consider the following three points: A(1, 2, -3), B(3, 5, -2) and C(m, 1,-10m). Determine m so…

A: I am attaching image so that you understand each and every step.

Q: suppose that S = [a, b] x {0} is a closed line segment %3D in R?. Show that H' (S) = b a.

A: Here given as S=a, b×0 is a closed line segment in ℝ2. We have to prove that H1S=b-a

Q: 24. Consider the lines l: x = Xo +tv and m: x = x1 + su. Show that l and m intersect if and only if…

A: We will prove the given statement.

Q: Given are the following lines: :) (s) = 1 교2(+) = 3 and a) Where do the two lines intersect. b) Give…

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Q: The dimension of the set W = {(2t – s, s, t) : s, t e R} of R is equal to: %3D

A: The dimension of the set W={(2t-s,s,t) : s,t ∈ R} of R3 x=2t-s y=s z=t (t,s) ∈ R   This can be…

Q: 4- Find The equation ofthe plane That the origin andat the poiat p(u1)ond at is parallel to theline…

A: Equation of plane

Q: Find the eguatien of the tangett line and nemat plane to the cune; Y. cest Ces(zt)i + st sinCet) j +…

A: Given r=cost cos2ti+cost sin2tj+sintk

Q: Q.5. Let a, a₂? and b 3. For what values of his b in the plane spanned by a, and

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Q: Given that A = (1, ß, 1), and B = (1, 1, ß). If A and B are normal to each other, ß is %3D

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Q: Let r() = (In1, 1, 5). Find the equation of the osculating plane corresponding to1 = 1.

A: Find the point at t=1 the vector r(t)=lnt,t,t22 corresponds. lnt,t,t22=ln1,1,122=0,1,12=0,1,0.5…

Q: 28. Given: WX ZY and Zs Z and Y are supplementary WXYZ is a parallelogram Prove: ZRYS RVST

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Q: 1. Consider the planes P and Q given as 2x- 3y +2 = 3 and 4x- 6y + 22 = 5. Are P and Q parallel?…

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Q: find the equation of the plane with the given description. Passes through O and is parallel to 4x −…

A: Solution:Given    A plane 4x − 9y + z = 3To find the equation of the plane passess through O and is…

Q: ---- Let a, = |4|, a, = 3 and let b = |1, for what value of h is b in the plane spanned by a, and…

A: Given that a1=145,  a2=238   and  b=11h. This implies that, xa1+ya2=bx145+y238=11hx+2y=1…

Q: 25 Given: AFED is equilateral. GE 1 DE, MZFEG = x + y, mZD = 3x – 6, mZF = 6y + 12 F %3D Find: x, y,…

A: Given the data:

Q: Lines l, m, and n are parallel to each other and p is a transversal. m 3 Also, Ly %3D 7 Find Zz. 21

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Q: nat is

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Q: 7. If 1x, y2 are the coordinates of a point P in the xy-plane,then x is called the__________________…

A: Given that, x,y are the coordinates of a point P in the xy-plane. The objective is to fill in the…

Q: по 6. For 7 - 10, determine if the given information is enough to determine JKLM is a parallelogram.…

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Q: Aa, Bb, and Cc are medians of triangle ABC with centroid at G , if aG = x, what is AG?  a. x b. 2x…

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Q: 45, 46 and 47 Find the point at which the line intersects the given plane. 4j5.jaj= 2j– 2jjj j =j…

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Q: Suppose n is an integer and z-z=r is a contour traversed once in counter clockwise , then P(z-z)" dz…

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Q: ) Let à = psin(4)u, + p² Ug %3D Evaluate $ Ã. dl given that L is the contour of the following…

A: Given, A→=ρsinϕup→+ρ2uϕ→ The given diagram can be drawn as,

Q: 1 7 Let a, 4 21 and b = 6. 1 2

A: here we can use matrix method to write the equation of plane and then we use the condition that b…

Q: H. (7m - 48)° (3m +0)° (14n + 11)° K. Part 1 out of 2 mZG=

A: We properties of parallelogram opposite sides are equal in length opposite angles are equal sum of…

Q: Use the figure. 7. K If NL = 3, KL = 12, and KJ = 16, find KP. %3D %3D %3D P.

A: From the given figure, it is observed that: PN is parallel to JL i.e., PN∥JL Also, NL=3, KL=12 and…

Q: Given two lives (zt+l, st-s,lot) f (34, 2++3, z++1) loca ted in Side th plane ? (zt+l, 5t-5,lot ) f…

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Q: Let v=i+6j and w=i+3j. Find an exact number c so that w−cv is perpendicular to v.

A: The given vectors are    v = i + 6j w =  i + 3j

Q: 1) which of the following pairs of planes cross along a straight line a) x+2y-3z-4=0…

A: General Equation of Plane: The general equation of the plane is given by where are constants Line:…

Q: Given: WH – Z bisector W H Y MZOWH=mZ by reason

A: Topic = Triangle

Q: Which of the following is an equation for the line through the point (2, 3) and perpendiçular to the…

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Q: 12. Let v =|0 and y For what value(s) of h is y in the plane -3 -2 generated by v and v2?

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

Q: I need help w/ following integration by pullback

A: Given that R be the parallelogram with the vertices at (1,0), (3,1), (4,4), (2,3). And…

Q: and V is the dosed by the Planes x=0, y=O, ニこ

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Q: tor that is norma to the Plane determined by the three Points i+ 2j +k, si-j+ k , 3i + 2; - 7k.

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Q: Let h VI and y: 8 For what value(s) of h, is y in the plane generated by vị and v2?

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Q: 17. Find the angle between two planes below. a. 2x- y+= =5 and 3x + y-z =1 b. 2x - 4y + 6z = 1 and…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.