4-) Given a line l with direction vector and a plone jo with normal vecter Ñ show that ln=l or inP=Ø if and anly S how in=Ø if and anly if <ン = 0.

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

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Q: ,A, B,C be 4 points in R², no three of which colinear. Fix A' e VA, B' e VB and C' e VC h that AB ||…

A: In the following question, concept of parallel line is applied. Parallel Line Parallel lines are…

Q: 6. Where does the tangent line to r = at the point (1, 0, 1) intersect the y-z plane.

A: Given:

Q: 2. 1 show thet vectors cre linecrly dependent or lineerly in dependont

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Q: 1 3 - -- () ---- () 5 V2 = 10 3 12 4. Let VI: a) For what values of his v3 in Span {V₁, V2} ? b) For…

A: The given vectors,.The objective is to find the values of  for which the vector  is in the  and  are…

Q: 5) Is the line tangent? 4 В 3 A O NO O No 35=16 No 20=9 O yes 25=25

A: Use pythogorous theorem.

Q: Find the length of the curve y? = r between the points (0, 0) and (4, 8)

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Q: Define the Cineen trans formation Ti R^→ R° by Tin) =Av. Find the fimensions of R and R". A = -2…

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Q: (d) Derive expressions for the variance of Bi and the variance of the least squares estimate 3…

A: Given,     The simple linear model is given by                yi=β0+β1xi+ei, i=1,....,n   and…

Q: dy dalam dr Gunakanlah diferensiasi parsial untuk menentukan pernyataan untuk kasus-kasus berikut:…

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

Q: 19. A particle moves in the plane from (-2,5) to the y-axis in such away that Ay = 3*Ax . Find its…

A: Given data is : A particle moves in the plane from -2,5 to the y-axis  ∆y=3×∆x Let point on the…

Q: Qzi In Vu CR) it u =(\,-1,\,-1), v = (- 2,2,-2, 2) Find iI lull and l vl)

A: Consider the given vectors as, u=1,-1,1,-1 and v=-2, 2,-2, 2 If vector u=a,b,c,d then u=a2+b2+c+d2…

Q: 13. 2 [3] and u = [4] vectors, one in Span {u} and one orthogonal to u. Let y = . Write y as the sum…

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Q: Hiw : O Find line Inheg ral Fozni +19j + 2ek From (-,-, 2) to (2,2,4) for twe Cases : O striaght…

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Q: The curves y = In x and y = 3x² have parallel tangent lines at x = A) ± √/ B) C) √6 E) 2

A: Two lines have parallel tangent if slop at the point is same.

Q: Let C be the line segment from point (0, 1, 1) to point (2, 2, 3). Evaluate line integral yds. C

A: To evaluate the line integral

Q: 660. Let A = (1, 5), B = (3, 1), C = (5, 4), A' = (5,9), B' = (11, –3), and C' = (17, 6). %3D Show…

A: according to the problem, we have

Q: Which of the following is the normal line at the point (-1, 1, 1) to the surface x² – 2y² − 3 ² = −4…

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Q: 48 in. 36 in. Area of the window=

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Q: For (a, B) E R?, define a function (-, -) : R² × R? → R by setting arr' + xy + Yx' + Byy' . 1. Find…

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Q: 2. Let E denote the parallelepiped with corners (0, 0, 0), (1, 2, 1), (2,3,0), (-1,0, 1), (3, 5, 1),…

A: According to question,Given Corners of parallelopiped,x1, y1, z1 = 0, 0, 0,x2, y2, z2  = 1, 2, 1,x3,…

Q: 6) Use Classteal Version step by step tnduding flue S finds of Eo Caiy, 2) thou the shetch of the…

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Q: Compute the total mass of a wire bent in a quarter circle with parametric equations: x = 4 cos t, y=…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: " 4 Let y = 8 1 W = Span {u₁, U₂}. a. Let U = [u₁ u₂]. Compute UTU and UUT. b. Compute projw y and…

A: Given: It is given that y=481,  u1=2/31/32/3,  u2=-2/32/31/3, and W=Span u1, u2. Consider, U=u1, u2.…

Q: 4.4. Suppose that u = (1,3) and v = (3, 1). (a) Sketch the points tu + žv, žu +v, and žu + jv. (b)…

A: Solution: Given u=1,3 and v=3,1

Q: Prove z = max (x,y) and z = min(x,y) are convex

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Q: Geometry Question

A:

Q: 64 ans: su 3 6. Calculate the area between the Curve fcx) = x²³²_4 and the lines y=2x + 4 and y=0,…

A: area between curve

Q: If x = v'u and y = 2uv, show that JJ' - 1, where J is the jacobian of u,v with respect to x and y…

A: We have find the jacobian