Find the centroic

Q: Define Scalar multiplication.

A:

Q: The image of the vector under the rotation on in the counterclockwise direction is given by:

A: Using the Concept of Linear Transformation first to find the Rotation Matrix and then find the Image…

Q: Find the centroid (7, g) of the triangle with vertices at (0, 0), (6, 0), and (0, 4). 6. Preview y=…

A: Given:Vertices of a triangle are (0,0), (6,0) and (0,4).

Q: Construct the bisector of XY.

A: According to our guidelines we can answer only first question . Kindly re-post other questions . (1)…

Q: Decompose v into its vertical and horizontal components.

A: Decompose vector v in vertical and horizontal components.

Q: Find the centroids of the function, y=4x-x^2, y=x (please sketch the graph)

A: Let's find.

Q: Calculate the tensor product of la) and b) %3D

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Q: Which type of symmetry does S exhibit? Radial Translational Reflectional

A: Radial symmetry is a rotational symmetry. The objects in this symmetry remain the same if rotated by…

Q: Use vectors to determine whether the points are collinear. (0, −2, −5), (3, 4, 4), (2, 2, 1)

A: A(0, −2, −5), B(3, 4, 4) & C(2, 2, 1) be the given points. Now vector joining the points A and B…

Q: Find the vector

A: The vector r=<a,b> is written as, r(i)=ai+ bj

Q: 2 nogonal to the vector

A: The coordinates of point M is 1,1,0 . The orthogonal vector to M is 200. The equation of the plane…

Q: Parametrize y = -x2 + 4 in terms of u and v %3D

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Q: Use disk method and draw a graph. √(9-y^2 ),y=1,y=3,x=0 about the y-axis

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Q: What type of symmetry is based on turning about a fixed center? O point reflection rotational…

A: The shapes and objects that look the same after a certain amount of rotation are said to have…

Q: Describe all of the operations involved in (a - b)(a c) — 2ã · (b × c) - Explain whether the final…

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Q: Use cross products to find the area of the quadrilateral in the xy-plane defined by (0, 0), (1, −1),…

A: Let vertex of Quadrilateral are O(0,0), P(1,-1), Q(3,1) and R(2,4)      Area of the…

Q: linear association.

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: Use cross products to find the area of the triangle in the xy-plane defined by (1,2), (3,4), and…

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Q: What role does the curl of a vector play in an application?

A: We have to write the curl of a vector play in an application.

Q: Find the scalar projection and vector projection of

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Q: Use vectors to determine whether the points are collinear. (0, 0, 0), (1, 3, −2), (2, −6, 4)

A: Given:A0,0,0B1,3,-2C2,-6,4

Q: Calculate the cross product assuming that u×w=⟨2,5,7⟩, (2u+3w)×w How do I find u and w from their…

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Q: Classify the equation yʻuxx + 2xyuxy + 2x-uyy + xux = 0, and reduce it to canonical form.

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Q: where B is the ball with center at the origin and radius 1

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Q: Find a vector perpendicular to the 2-space line: Qx - Ny + R = 0

A: Please see the below picture for detailed solution.

Q: Find y': %3D Oy =- Oy=--

A: A detailed solution is given below

Q: DEFINE Centroids

A:

Q: Rsia Proue that the Centre a gp is nomal. of

A: The set Z of all those elements of a group G which commute with every element of G is called the…

Q: Find the dot product of u = u=(-4,-9) and v=(3,-2)

A: Given: u=(-4,-9)v=(3,-2)

Q: Determine the tail of the vector whose head is (1, 2). Make a sketch.

A: Consider the provided vector, 26 Whose head is 1,2. Determine the tail of the given vector.

Q: Describe the loci zz−2z−2z+8 = 0 expressed in terms of conjugate coordinates z, z.

A: It is given thatzz¯-2z-2z¯+8=0Where,z¯ is the conjugate co-ordinate of z.We have describe the locus.

Q: Compute the order of each element in the Quaternions, Q8. Show your work.

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Q: Is it possible to take a dot and cross product of a scalar with a vector? Explain with example.

A: It is not possible to take a dot and cross product of a scalar with a vector.

Q: Compute the orthogonal projection of u onto v. Use the square root symbol ' where needed to give an…

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Q: The quadric surface 2 = x² + is called

A: We know that this is the equation of hyperboloid from the general equation of hyperboloid.

Q: у' 3D усotx +у?cscx

A: Given that      y' = y cot x + y2 csc x  Here we have to find the Integrating Factor.

Q: How are dot products useful?

A: Two vectors can be multiplied using the dot product. The dot product is written using a central dot.…

Q: diagonalize ona %3D

A: Explanation of the solution is given below...

Q: What is scalar product refers to?

A: Scalar Product of two vectors, equal to the product of their magnitudes and the cosine of the angle…

Q: Find a unit vector

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Q: Find the scalar product of x and y x =(-1, 0, 2) and y =(-7, 7, 3)

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Q: Find the center of mass of the triangle with vertices (0, 0), (2, 0) and (2, 6).

A:

Q: .3

A: Given: v={ √2,3√2}

Q: Find the centroid when revolved in y-axis: y³ = x² ; y = 4.

A: As per the question we are given a solid of revolution obtained by rotating the area between y3 = x2…

Q: What coordinate system is suggested if the integrand of a tripleintegral involves x2 + y2?

A: Given: The integrand of a triple integral involves x2 + y2

Q: Point W is the centroid of triangle TRV. VX = 204 and RW = 104. The length of VW = ____.

A: Triangle Question

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.