Find c₁ and c₂ for the inner product of R² given by (u, v) =11V1 + C242V2 such that the graph represents a unit circle as shown. (C₁, C₂) =

Q: b. Find the projection of v with equation 2x -y + 4z = 0. 1 -3 on the plane

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Q: 2. Demonstrate the following relationship involving the dot product and cross product (a) u. (v xw)…

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Q: 20b. Find the coordinates of A' after A(-3, 4) has been reflected: Reflection in the x-axis: A'= I…

A: To find the reflections

Q: how the condition that the curves a+b=1 and d+b'

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Q: // a?dA where R {(x, y) | 16z² + 36y² < 576} Find

A: first we find limits of integration, than

Q: b) Evaluate the value of I = S(e³y – 3x)dx + (6xey + y)dy, where C' is the parabola - C (0, 0) to…

A: One has to solve it by Green's Theorem.

Q: Find midpoint M of P,P2, which joins P1(5, -7, 2) and P2(2, 5, 6), as shown in Figure 10.46 of…

A: Formula used : Mid-point formula Mx1+x22,y1+y22,z1+z22 Here (x1,y1,z1) and (x2,y2,z2) are the end…

Q: C is the circumcenter of APQR. PC=3x+7, RC=5x-15, & QC=51-x R P PC=[? ] Q

A: C is the circumcenter of ∆PQR. PC=3x+7, RC=5x-15, &amp; QC=51-x

Q: et D be the triangle with vertices (0,0), (1,0) and (0, 2). Compute ffp (e2y + 1) dA.

A: Given is the triangle D with vertices 0,0,1,0,0,2 The objective is to evaluate the integral ∫∫D…

Q: 33. Find the directrix. (y- 9)2 - 8 O y = -9 O y = -7 O x = -7 | x = -9

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Q: 1. The shape function for the two dimensional rectangular element in Figure 1 are: N₁ N3 1 4ab 1 4…

A: As per the question, we are asked to find the Jacobian matrix [J], its determinant |J|, and the B…

Q: Draw the bifurcation diagram for à = (x + 1)(x² – 2.x +r).

A: We are given : Now, the bifurcation diagram for this is :

Q: iven two line segments, construct a rhombus whose diagonals have lengths equal to the lengths of the…

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Q: 15. Find the Cartesian equation of the following lines: a. parallel to the line r= 2i+3j+4k +1(3i –…

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Q: A circle C passes through (1, 1) and cuts the following two circles orthogonally: S, :x +y-8x-2y+16…

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Q: Y = 3.065 x + (-35.96)=0.6451x + 46.92 an/Fear medial ing au of a t from asur oxim bial hat se toc…

A: Y= 3.065x + (-35.96) = 0.6451x + 46.92 We have to find value of f(x)

Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

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Q: The following equation represents a sphere: x² + y² + z² = 1. Which one of the following is the…

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Q: the diagram: ΔLMNΔLMN  is a right-angled triangle with vertices L(−6;7),M(a;b)L(−6;7),M(a;b) and…

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Q: Given the points (-1, 3), (0, 1), (1, 3), and (2, 9), solve the equation Ax = b for x = c de to find…

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Q: True or False: The point H is collinear with both C and E. B D G True False

A: any number of points are called collinear if they all lie on same straight line.

Q: V=R Prooflthat Nisavectors sPoe

A: Given that V = ℝ+ Operations + and · defined as, x + y = xy rx = xr, where x,y ∈V; r ∈F To prove: V…

Q: Calculate Sc(x + y) ds, where C is the rectangle formed by de x=0, x=4, y= -1 and y=1

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Q: A is a point on the y-axis such that AB // DC. Given points A(0,a), B(3,3), C(11,9), and D(8,13)...…

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Q: Given the points A(3,5) and B( – 3, – 7), find d. the scalar equation of the line.

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Q: Find the angle between the following pair of lines: £ =2? =5] +k + 2(3 + 23 + 6k) and = 7i — 6k +…

A: A vector in the three dimensional space is represented by v=ai∧+bj∧+ck∧, where a, b and c are the…

Q: Consider the parallelogram with vertices O, A, B, C, with vertex B opposite O, where O = (0, 0, 0),…

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Q: Calculate the cross product. (i - 9j + 6k) x (j – k)

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Q: (b) Let w = 1+ j. Determine w giving your answer in rectangular form.

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Q: R] [CLO 8] Give an example of a point in Quadrant III of the rtesian plane.

A: we will find the required.