а — Ь Let W be the set of all vectors of the form Find vectors i and v in R' such that W span {u, i}. и —

Q: rite down the ma TIX represe the linear that projects every vector in R³ orthogonally onto the…

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Q: (A) A unit vector u in the direction of the vector P( 2, 0, 2) to Q( 4,2,0)

A: As per our guide line i am supposed to answer only one question from these 4 question .To get…

Q: Consider z as a function of the variables x, y which is defined by 1,-1) a point. Consider further…

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Q: rameterize the plane through the point (1,−3,−2) with the normal vector ⟨−5,−2,5⟩ r⃗ (s,t)=?…

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Q: a) Let i = xî + yj + zk, r = |7| and å is a constant vector. Find the value of %3D dxr div

A: We will find out the required value.

Q: Slow that the set is linearly dependent by finding a nontrivial linear combination of vecters in the…

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Q: 12. For which values of parameter a, the vectors. °u = (1, a, 2) and °v = (a, 4, 4) are

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Q: m Let u be a non-zero column vector in R and v be a non-zero column vector in R". What is…

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Q: (a) Find a nonzero vector orthogonal to the plane through the points P(0,- 2, 0), Q(4, 1, – 2), and…

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Q: vetermine aU state the woIK UONE DY the Vector nera over the given path in each situation, F (x,y)=…

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Q: I. For the given vectors i and v , find the value of u · v and normalize = (3,–1,9, –10) 2. й 3D…

A: 1. Given u→ = (2, 7, -1, 20)v→ = (3, -1, 9, -10)Sou→.v→ = (2, 7, -1, 20)·(3, -1, 9, -10)        = 6…

Q: Pp: In Vu CR) find all vectors which is orthoyonal to u=(-1,l,-2,3)

A: Consider the vector  u=−1,1,−2,3

Q: Quèstion 11 Find the unit vector u in the direction of the vector v-4(2, 1, 2). 1 U = V OA. u = OB.…

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Q: 02: Find the vector and unit vector (u) in the direction of the vector P, (-3,0, 6) to P = (4, 6, –…

A: Let us consider the vector P(a, b, c) and Q(x, y, z) then the vector in the direction of P to Q is…

Q: Consider the vectors For what values of h is öz in Span{ü, ö}? For what values of h is {ün, ën, üh}…

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Q: 1. The vector x expressed in terms of the vectors w and u а) w — и с) w + u b) и — w м.п (р

A: …

Q: Let R have the Euclidean inner product. Find two unit vectors that are orthogonal to all three…

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Q: Vector v with initial point P1 = (x1, y1) and terminal point P2 = (x2, y2) is equal to the vector v…

A: Given : the two points are given as initial point P1 as x1,y1 and terminal point P2 as x2,y2.…

Q: Quèstion 12 Find the unit vectoruinthe direction of the vector v 3(2, 2, 1). = n V OAU 1 u = OB. V…

A: As per our guidelines we are supposed to answer only one. 12) Given:     Vector v=32,2,1…

Q: Determine a direction derived from the point P and in the direction of the versor vector → informed…

A: In the given question we have to find the directional derivative of the given function. Concept: The…

Q: a)X'X and its inverse b) The vector of estimated parameters c) SSE and R-squared

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: yi – aj (x2 + y?)4 Consider div (a) Is this a vector or a scalar? scalar (b) Calculate it: yi-zj div…

A: a) The divergence of a vector point function is a scalar quantity being the dot product of two…

Q: Siven vectors u = [x, y, 5] , v = [3,1, –4], and w = [7,7,7] , find x and y such that i xû = w.

A: We find cross product of U and V then compare elements of this cross product and elements of W

Q: (A) A unit vector u in the direction of the vector P( 2, 0, 2) to Q( 4 , 2,0)

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Q: De termine if the vectors 2 re lincarly independent or linearly dependent Please explain your answer

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Q: Vector Calculus [SADT4] If p (x, Y, z) = x² + y? that is the unit vector in the direction of Vy (1,…

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Q: t and W = Span -2 For what value of t is Let U = 1 3 the vector U orthogonal to W ?

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Q: Normalize the vector j = (1, -2, 5, 0, -1)

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Q: Pls help

A: We will use vector addition to find the answer

Q: Q5: Plot the function y= 2 tan(t)-cos(mt) labeling the x and y axes. Where t is a vector containing…

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Q: yi + xj Consider div (x² + y²)4 (a) Is this a vector or a scalar? scalar (b) Calculate it: yi +zj…

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Q: The acceleration of a moving particle in space is given by the vector function a (t) = 3t2 i + 4t +…

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Q: Find a vector that is orthogonal to v. v=

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Q: (a) Suppose that a 120-vector a represents the age distribution of the customs in a bank, where a,…

A: (a.) Given: a is a 120-vector that represents the age distribution of the customs in a bank, where…

Q: Evaluate Vx (4xj) •n do where S is the hemisphere x2 + y2 + z2 = 16, z20. Use the normal vectors…

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Q: 3. Find the unit vector that has the same direction as the vector perpendic- (4, -1, 3) and b=…

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Q: F. Directional Directive Find Duf (x, y, z) at (2,–1,0) in the direction of the unit vector U…

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Q: Q. Is the set of vectors Linearly independent or not ? {1,0, 0, 1), (0, 1,0,0),(,1,1, 1) (1, 7,…

A: As per our guideline we are allowed to do 1 question at a time. Please post other question next…

Q: A particle of mass one gram moves in the space so that its position vector is given by 7(t) = tî…

A: Mass of particle, m=1g Position of particle,…

Q: mine the direction in which ƒ has maximum rate of increase from P. S(x, y, z) = x²y/z, P=(-1,2,16) e…

A: Given, fx,y,z=x2yz at Point P-1,2,16 The directional derivative is used to determine the direction…

Q: Check whether the sets of vectors (i) ā = {1, 1, 1}, b = {1, 2, 0} , ĉ = {0, – 1, 2} and (ii) ā =…

A: (1)

Q: 2. 3. 3. t.5-2 show that O vector Cusis Perpendicular to the vectors LU) und LW) 2 vector Cs…

A: Two vectors a→ and b→ are said to be perpendicular if their dot product that is a→·b→ is equal to 0.…

Q: Q.2B) Evaluation of |A – 2B| through define length of the vector JA| equal to and length of vector…

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Q: Q/ find the vector whose length -2 and its direction (60°) with x axis u i+ V = 1 i + V3 j j, V = 1i…

A: To find the vector whose length=2, and its direction 60° with the x‐axis.

Q: a linear combination of the vectors Can we express the vector a = (2, – 5, 3) as e = (1, 1, 1), ez =…

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Q: Exercice 1 Given the vectors u ( 1;2;3) and v(-1;–1;2). Determine the vector w ( 7; y;z ) orthogonal…

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Q: Decompose v into two vectors, v, and v,, where v, is parallel to w and v, is orthogonal to w. v=…

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Q: Express the indicated vector w as a linear combination of the given vectors u,v if possible. w =…

A: Given that, W = ( 1, 0 , -7) u = ( 5, 3 , 4) V = ( 3, 2, 5) Let the a  and b be the any scalar…

Q: Q4. a) There are three vectors u = (3,2,0), v = (-1, -2, 2) and w = (-1,2,3) Calculate +-W (i) (ii)…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3s Let H be the set of all vectors of the form Find a vector v in R³ such that H = span {i}. 4s

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