To compute h, (x) =*,+0,x,+0,*, in vectorized form then: (theta vector size is 1x3 and X is 3x1) (A) h=0.*X B h =0* X h=X*0 h=X*0
Q: Let the vector v have an initial point at (−3, 4) and a terminal point at (-2, 6). Determine the…
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Q: Consider inner-product = | f(x) g(x) dx defined for vector space C[-1, 1], then for the function…
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Q: Vector fields V and W are defined by V- (2х — Зу + z, -3х — у + 4z,4y + z) W- (2x - 4y — 5z, - 4x +…
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Q: A. If x and y are orthonormal vectors, then find the valne of x+ yl? - |x-yl
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Q: Find all the vectors of the family (2-jx, j4, 2-j5, jx) that are of hermitian length equal to 21.
A: Let Y=2-jx,j4,2-j5,jx Length =Y=4+x2+42+4+25+x2 Y=49+2x2 49+2x2=2149+2x2=2122x2=392x=±14
Q: (a) Using Gaussian elimination, find a vector v such that
A: As per our guideline is multiple questions are posted we are supposed to answer only the first one.…
Q: Let u = -2i + 3j, v = 6i - j, w = -3i.Find specified vector 3u - (4v - w)or scalar.
A: Concept: The calculus helps in understanding the changes between values that are related by a…
Q: What is the scalar projection of á = (1,0, 1) onto b = (0, 3, 4)?
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Q: If a mass m is placed at the end of a spring, and if the mass is pulled downward and released, the…
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Q: Let ø = $(x), u = u(x), and T = T(x) be differentiable scalar, vector, and tensor fields, where x is…
A: According to the given information,
Q: Find the stable vector of 1 2 1 3 2 3
A: ANSWER:
Q: Are the vector spaces R4, M2,2, and M1,4 exactly the same? Describe their similarities and…
A: We have to determine if the vector spaces, are exactly the same or there is any similarity or…
Q: Let the vector v have an initial point at (−5, −4) and a terminal point at (−3, 1). Determine the…
A: We have to find component vector
Q: XII. Show that the dual vector of the antisymmetric part of the dyadic (1 2 3) A = 4 2 1 1 1 1) is…
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Q: Let f(x) = sin x and g(x) = sin x + cos x in the vector space C, [0, 2π] with the inner product…
A: The given functions are, In the vector space,
Q: Let the vector v have an initial point at (5, −3) and a terminal point at (1, —8). Determine the…
A: Determine the components of vector V
Q: Consider a vector space that consists of the linear combinations of the following functions: {1, sin…
A: Let V={1,sinx,cosx, sin2x,cos2x,sin(2x),cos(2x),cos3x,cos(3x),sin(3x)} set of vectors v1,v2,....,vn…
Q: What is the dimension of the vector space P°?
A: The dimension of Pn is n+1
Q: Let the vector v have an initial point at (-4, –3) and a terminal point at (2, 3). Determine the…
A: Given vector v have Initial point -4, -3 and terminal point 2, 3
Q: Does the set of vectors form a basis for R?? Explain why or why not. For this question, explicitly…
A: The solution is given as
Q: Find the scalar equation for the plane passing through the points P-(-1. 5.-1. P=(-1, 6, 5), and…
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Q: XII. Show that the dual vector of the antisymmetric part of the dyadic (1 2 3) Ā = 4 2 1 (1 1 1) is…
A: 1st calculate the antisymmetric part of the corresponding Tensor (matrix form). Then apply the…
Q: . What is the basis and dimension of the vector space: SPAN {1, cos t, cos 2t}
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Q: Let the vector v have an initial point at (2, −8) and a terminal point at (−1, −8). Determine the…
A: Let the vector v have an initial point at 2, -8 and a terminal point at -1, -8.To determine the…
Q: A vector orthogonal to the plane through the points (-1,0,0), (0, 1, –-2), (2, 3, 4) is O O O O
A: I have append the formula in solution part
Q: Find the scalar and vector projections of b onto a, where a = (-1,1,2) and b = (-4,5,8).
A: The solution of the problem is given in the next step.
Q: What is the basis and dimension of the vector space: SPAN {1, cos t, cos 2t}
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Q: Prove that a(-3,2) and b (2,-3) form basis vectors in xy plane
A: a set is said to be basis if set is linearly independent and it spans the space.
Q: Let u = (-3, -1, 3) and : = (3, 1, 2). Find the vector component of u orthogonal to a. a 3D
A: Since you have asked multiple questions in single request so we will be answering only first…
Q: Compute the orthogonal projection of u = form, not a decimal approximation. onto v= 3 2 Leave your…
A: To compute the orthogonal projection of u=-4-89 onto v=132.
Q: Let F(x,y,z)=(2xz^2,−2xyz,9xy^3z) be a vector field and f(x,y,z)=x^3y^2z (∇f=( , , )). (∇×F=( ,…
A: Given:F(x,y,z)=2xz2,-2xyz,9xy3zf(x,y,z)=x3y2z
Q: Find a basis for the set of vectors in R^3 in the plane 3x - 2y + z = 0. Also state the dimension.
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Q: Consider inner-product = | f(x) g(x) dx defined for vector space C[-1, 1] , then for the function…
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Q: (8) Find a vector parameterization of the line r(t) which passes through the point P = (1,2, –8)…
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Q: Consider inner-product = | f(x) g(x) dx defined for vector space C[-1, 1] , then for the function…
A: The solution is given as
Q: Find the scalar AND vector projections of a onto b where a=(0,1,-2) and b=(-1,0,3)
A: Given , a = (0,1,-2) and b = (-1,0,3).
Q: A vector t has initial point (0, 0) and terminal point (4, 1). Write t in component form.
A: Write vector, terminal point minus initial point
Q: Use matrices to transform the vector .3 by a reflection across the x-axis, a horizontal compression…
A: Given: Vector : ⟨ 7 , 3 ⟩ Reflection across x - axis Horizontal compression = 1/2…
Q: Find the stable vector of 1 2 4
A: The stable vector is the probability row vector w such that w*P=w Let , w= [ x y z ] So it becomes…
Q: 3. What is the initial point of vector w if the component form is and the terminal point is (4, 1)?
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Q: Use Laplace transform to find a fundamental set of vectors for the system of ODES %3D
A: Step:-1 Note:- Lf'(t)=s F(s)-F(0) Given that x→'=1221x→ Let x→(t)=x(t)y(t), Here we take t as…
Q: Show that any antisymmetric tensor can be made equal to C by suitable choice of the fixed vector a.
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Q: Let u = -2i + 3j, v = 6i - j, w = -3i.Find specified vector 4u - (2v - w)or scalar.
A: To Determine: find 4u-2v-w Given: we have u=-2i+3j ,v=6i-j ,w=-3i Explanation: we have…
Q: If æ is a fixed vector, verify that a second-order tensor C can be defined by setting C(y) = x x y.…
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Q: 6. Find a unit vector that is orthogonal to both [0, 1, 1] and [1,0, 1].
A: We will find the unit vector orthogonal to both the vectors as following.
Q: -) Are these pairs of vectors orthonormal or only orthogonal or only linearly independer [:]; » [] 1…
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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: Consider the plane x1 + 2x2 + x3 = 0 with basis S = {(-1,0, 1), (-2, 1,0)}. If (x)s = (2, -1), find…
A: In this question, we need to find the vector x on plane for the given condition.
Q: A vector orthogonal to the plane through the points (-1,0,0), (0, –1,-2), (2,3, 4) is O O O O
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- In the equation below, a and c are both vectors of the same size. Given b and d are both scalars, indicated the location of where the dot operator is necessary to perform element-wise operation. Only include dots/periods in the correct locations. A = ((cos (c) + d - a) * (d * a) * tan (b)) / (a^2 + c * exp (a) * sin (b)) Note: Write the equation with the correct position of the dot / periods.Give a vector parametric equation for the line through the point (4,-3) that is perpendicular to the line <1−4t,3t−3>what if it was the same vector, but 5y^2j?
- Vector A has a magnitude of 19.6 and is at an angle of 80.5° counterclockwise from the +x-axis. Vector B has a magnitude of 27.1 and is -40.3° from the +x-axis. Resolve Á and B into components, and express in ijk unit vector form, À = A‚i + A‚j %3D B = B,i + Bj where Ax, Ay, Bx, and By are the calculated values of the x- and y-components of vectors A and B, respectively. = Calculate the dot product between A and B. A• B = Calculate the angle 0 between A and B.Question 6 Let A' = [-4 16 8] and B' = [-1 x² 2] For which real value(s) of x are vectors A and B linearly dependent? a. None b. 2 c. 8 d. -2 -8 e. f. 4Can I get help with only number b, vector calculus