What is the dimension of the vector space S=abc detEM2x3(R): a=b=c=0}

Q: To compute h, (x) =*,+0,x,+0,*, in vectorized form then: (theta vector size is 1x3 and X is 3x1) (A)…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 3 /3 and whose components have…

A: In the equation ∇g=λ∇f, delta represents partial derivative. A partial derivative is a derivative in…

Q: Find a nonzero vector parallel to the line of intersection of the two planes 2y 5x - 3x = -5 and 5y…

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Q: Compute the vector assigned to the points P = (1, 1) and Q = (-3, -3) by the vector field F = (-y,…

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Q: Given a vector x, show that the infinity norm defined by |||x|| = max|x|, satisfies the triangular…

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Q: Solve numerically for The scalar projection of vector u onto v

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Q: find a vector parametrization for the line with thegiven description. Passes through (1, 1, 1) and…

A: The vector parametrization is:                                       r(t) = r0 + tv = x0,y0,z0 +…

Q: Find a nonzero vector parallel to the line of intersection of the two planes – (2x + 3y + z) = -2…

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Q: Find a vector function that represents the curve of intersection between the paraboloid 2 z = 4x² +…

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Q: Find a nonzero vector parallel to the line of intersection of the two planes 3x−3y−4z=5 and…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 7 V3 and whose components have…

A: By using Lagrange multipliers we have to find a vector in 3-space whose length is 7√3 and whose…

Q: Consider the Vector-Valued Funcbion く os6) +ド いnct), Cosit)+4 5inct,-20 Ginco since) 015 a Compute…

A: We are given with vector r ;

Q: Find a-Vectak S unit, tengte inthedirectionofthe Vector A-ixjtk-

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Q: what is the smallest subspace containing the vectors u, v and w? what is the span of a set of…

A: Span is the all possible linear combination

Q: The scalar projection of vector A onto another vector B will be the negative of that scalar…

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Q: find a vector parametrization for the line with thegiven description. Passes through O and (4, 1, 1)

A: To findvector parametrization passes through O and (4,1,1)

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 4 V3 and whose components have…

A: Given:     Let v=x,y,z be a vector in R3 with length v=43 This is x2+y2+z2=43            x2+y2+z2=48…

Q: If F1 and F2 are two forces simultaneously acting on anobject, the vector sum F1 + F2 is called…

A: We know, The vector sum of all of the forces acting on a body is a single force called the net force…

Q: Calculate the integration of (A" - dlP2P1 from point P1 (2,1, -1) to P2 (8,2, -1) of the vector…

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Q: Find the vectorequationof the line of intersection of the planes  2x-3y–z=5 and x+y+2z=1

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Q: find a vector parametrization for the line with thegiven description. Passes through (1, 1, 1)…

A: To find the vector parameterization for the line that passes through the point (1, 1, 1) and…

Q: Find the vector in R° from point A = (x, y, z) to B = (-2, –4, 1).

A: Given points  A  = (x,y,z) B = ( -2,-4,1) To determine the vector in R3 from point A to point B

Q: how can i learnd about vector in r2 and r3?

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 9/3 and whose components have…

A: We will use Lagrange Multiplier method to  maximize / minimize a function f(x,,y,z) subject to…

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 6/3 and whose components have…

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Q: ^2

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Q: Find the dimension of the vector space.R6

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Q: What is the connection between vector functions and space curves?

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Q: Explain the term vector space.

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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: Find the Directional Derivabive of Pary,2)= x-yz'+ at the point CI, -2, 0) in the direcbion of…

A: A scalar function is a rule to associate a number to a particular point in space. The directional…

Q: The vector norm is always positive.(i.e. ||X||>0 for every vector X.) Select one: O True False

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Q: Given a vector x, show that the infinity norm defined by x=maxx, 15iSn satisfies the triangular…

A: Let u=u1,u2,⋯,un and v=v1,v2,⋯,vn be two vectors in ℝn. The sum of vectors can be defined as…

Q: Evaluate The Work Done By The Force Vector, F= (6x^2+3y)I – 15yzj + 10x^2zk From (0,0,0) To (1,1,1)…

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Q: uppose ā and b are two non-zero vectors in R3 and they are not parallel to each other. Then, their…

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Q: Show that solutions to 2nd order linear equation y"+p(t)y'+q(t)y=0 form a vector space through…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 4/3 and whose components have…

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Q: Find a vector that is oppositely directed to v = with a length of V3

A: We have to find the vector by given data

Q: 2. Can three vectors in the xy plane R2, have u v < 0, v w < 0, w u<0?

A: Given that, u, v and w are vectors in XY plane. The dot product of vectors is defined as, if u = a1…

Q: Show with the help of the calculation rules for the scalar product for vectors ||x – 2 y|| = ||x||2…

A: The property used here are b2=b·b x·y=y·x cx·y=cx·y=x·cy Consider the left hand side of the given…

Q: When is a vector incomprehensible and when is a vector irrational?

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Q: Let f(x, y) = 5y² ln(4x). Then Duf(1,4) in the direction of the vector (-2, –2) is

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Q: Af V s vector space th cV = V

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Q: Find a vector x whose image under T,

A: A=12541022011-4-9-21 ,b=12543-51The augmented matrix of the system is 12541022011-4-9-2112543-51now…

Q: Find a nonzero vector parallel to the line of intersection of the two planes 4y – 3x +3z = -2 and z…

A: Answer

Q: Find a nonzero vector parallel to the line of intersection of the two planes 5z – (3x+3y) : 2 and 2x…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 6/3 and whose components have…

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Q: The vector norm is always positive.(i.e. ||X||>0 for every vector X.) Select one: True False

A: We know that The length of a vector with two elements is the square root of the sum of each element…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.