Let ā = (1,2),b = (x,y) and = (1,-2) find the value of x and y such that a is %3D %3D %3D orthogonal on b and c. b 2 .

Q: Let u = 4i + 5j, v = -4i +2j, and w = 3i - j. Determine the i, j form of each of the following: (a)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find the cross product u x v where i = 3i +6j +9k and v = (- 2, – 4, 5). ux v =

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Q: Find the cross product i x v where i = 2i +2j -3k and i = (- 8, – 6, 3). i x ở =

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Q: A hiker realises that the sun is going down and she forgot her headlamp. If the surface of the…

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Q: Find the intersection of the planes x + y + z = 1 and 3x − 2y +z = 5.

A: Consider two planes which are not parallel to each other and intersect. Since planes are three…

Q: Let x=x= and y=y= Find the dot product of xx and yy.     x⋅y=x⋅y

A: Given:x=9, 0y=-4, -2Dot product:A=ax ,ay  B=bx ,byAB=axbx,+ay,by

Q: Find (2x + 5y)dA where Ris the parallelogram with vertices (0,0), (-5,4), (-2,-1), and (-7,3). Use…

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Q: If u = 2x – 3, thenx V2x – 3dx :

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Q: Let ā = (1, 3,-1) and b (-1,0, 2). What is the y-component of ā x b %3D %3D 1 -1 3.

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Q: Evalute ) (2xty)dA, where D=2C2-1にと」 225y41tX)

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Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: Evaluate (6x-3y)dA where Ris the parallelogram with vertices (2,0), (5,3), (6,7) and (3,4)using the…

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Q: Given the estimated linear model shown below, complete the following computations. y = 10 + 4x, +6x2…

A: we have given the regression equation y^=10+ 4x₁ +6x2 + 3x3 a. Compute y when x₁ = 31, x2 = 17, and…

Q: xyzx + 2y³ (Zyy) = 1 Dependent variable/s: Independent variable/s: Type: Order: Degree: Linearity:

A: Given: Here, the dependent variable is z, independent variables are x and y. And the type is a…

Q: The distanced of a point P to the line through points A and B is the length of the component of AP…

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Q: Find z,(-1,2) if z=In(5x°y²+2y*). Answer:

A: We can find the answer as below.

Q: 1 [-1] 2 Let 2 , v2 0 ,V3 = where S = {v,,v,,v,}. %3D 3 Is V4 linear combination of V1, V2, V3?…

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Q: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

A: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

Q: Show how v is orthogonal to any linear combination formed by w1 and w2

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Q: Let A = (1, –1, 2) and B = (4, –2, 3). Solve for proj,B. %3D

A: As per the guidelines for the multiple questions I had solved the first question.

Q: Find k so that the points P(0, 1, 1), Q(-1, 1, 3), and R(-3, 1, k) are on the same line (collinear).

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Q: Diagonalized  if possible, where is A=[■(4&0&1@1&1&0@3&0&1)].

A: Given A =   4 0 1     1 1 0     3 0 1

Q: 1. For the system below, describe the solutions in parametric vector form: + 3x3 + 2x2 + 5x3 2.x1 +…

A: firstly make an augumented matrix then solve this matrix by Gauss -Jordan elimination method.

Q: Given ü = (2,-3) and = (-2,5) find ü v %3D

A: Solution is done in step 2

Q: Find x such that the points A(x, 5), B(2, 3), and C(4, - 5) are collinear.

A: Given. A(x,5), B(2,3) and C(4,-5) are collinear.

Q: Write v as a linear combination of u and w, if possible, where u = (2, 1) and w = (2, -2). (Enter…

A: u=2, 1 and  w=2, -2To express v=4, -1 as a linear combination of u and w

Q: Given that v = (2,3, 4), vị = (1,0,1), v2 = (0,-1, 1), vz = (-1,-1,1). Express v as a linear…

A: Given, v=2,3,4, v1=1,0,1, v2=0,-1,1, v3=-1,-1,1

Q: Let v = (5, 8) and w = (4, 5). What is the dot product v · w?

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