Find the coordinate vector of v relative to the basis S = {V1, V2, V3 } for R3. v = (11, 3, 8); vị = (4,0, 0), v2 = (5, 5, 0), v3 = (8, 8, 8). (v)s = ( i ).

Q: Which of the following pairs of vectors are linearly independent? Ou = (1,0) and w = (0,2). Ou =…

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Q: 2. (a) Calculate the position vector for P₁ and the displacement vector from P₁ to P₂, where P₁:…

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Q: would the two vectors be (1 1 1 0) and then (0 0 0 1)?

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Q: Find the coordinate vector of p relative to {p,» P;» P3} for P,. the basis S =

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Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. -2u

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Q: Find the coordinate vector of w relative to the basis S = { u1, u2}for R². u 1 = (20, – 20), u 2 =…

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Q: Find the vector X (in standard coordinates) determined by the given coordinate vector xB and the…

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Q: 21. Find the coordinate vector of x = with respect to the basis B = {v1, V2, V3} where vi =|1 V2 =…

A: Write x in linear combination of v1 , v2 , v3

Q: P, find the change-of-coordinates matrix from the basis In B = {1 – 2t + t², 3 – 5t + 41², 2t + 3t²}…

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Q: Find the coordinate vector of P relative to the basis S = {p1.P2,P3} %3D P1 = 1 + x + x*, pP2 = x +…

A: First I have written a short note about coordinate vector of a vector relative to a basis and then…

Q: Find the coordinate vector [x]R of x relative to the given basis B= {b,. b2, bg}.

A: Here we have to find the coordinate vector [X]B of X relative to basis B.

Q: Let p = 5x + 10x + 3. Find the coordinate vector of p relative to the following basis for P2, P1 =…

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Q: Find a vector orthogonal to both v and u. V = 2i - 2j + k, u = -4i - 4j + 5k -6i - 7j + 7k 6i + 7j +…

A: Given is           v = 2i -2j +k           u = -4i-4j +5k         two vector a & b said to be…

Q: Find the coordinate vector[x],of x relative to the given basis B= {bl,., bn}. --]--[}]--[1] bị = ,b2

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Q: Find the coordinate vector of p relative to the basis S = {p1, P2, P3 } for P2. p = 2 – 3x + 2x² ;…

A: Question from linear algebra.

Q: Let u=(-1,37 and u =< 2,-57 Find the Component form of the vector Su-V

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Q: Find the coordinate vector of P relative to the basis S = {p1.P2;P3} P1 = 1 +x+ x², p2 = x + x², p3…

A: Write p as linear combination of p1 p2 p3 Then the scalar in linear combination is form coordinate…

Q: Find r so that the vector from the point A(1,−1, 3) to the point B(3, 0, 5) is orthogonal to the…

A: The vector from the point A(1, -1, 3) to the point B(3, 0, 5)            Is orthogonal to the vector…

Q: Find the coordinate vector of w relative to the basis S = {uj, u2 } for R2. uj = (12, – 12), u2 =…

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Q: Find out Vector S= { V, V2, V3} is the Basis por R. if VI : ( 3,1,-4), Vz C2,s,6), V3 - C1,4,8) %3D…

A: Here we have to find whether v1 , v2 , v3 are basis of R3 or  not.

Q: Q2) Find the coordinate vector [x]B of x relative to the basis B={b1, b2}:

A: Let us consider a vector V  with the basis b1,b2,......bn then any vector v∈V is written as linear…

Q: Find the coordinate vector of w relative to the basis S = {u1, u2 } for R2 u1 = (9, – 9), uz = (3,…

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Q: (c) Consider the basis vectors ê1 = * and êz = *. What is the length of the vector V defined as V =…

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Q: Find the coordinate vector of p relative to the basis S : {P1, P2, P3} for P2. p = 15 – 21x + 12x²;…

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Q: Find the values of x, y and z that satisfy the vector equation 1 3 ·A·B·0-0-0-0 x 3 +y -2 +2 1 = 1…

A: We want to find values of x, y and z which satisfy given equation.

Q: Find the coordinate vector of v relative to the basis S = {v1,v2, V3} for R3. v = (-11,–17, 7) (3,0,…

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Q: Find the vector x determined by the given coordinate vector [x]R and the given basis B. - 1 1 3 - 2…

A: To find  The vector X determined by the given coordinate vector [X]_B and the given basis B.

Q: Find the coordinate vector of P relative to the basis S = {p1.P2,p3} P1 = 1 + x + x², P2 = x + x²,…

A: Given that , S=p1,p2,p3p1=1+x+x2 , p2=x+x2 , p3=x2 , p=5-x+8x2 PS=?

Q: Find the coordinate vector of v = [2 -7 7] relative to the ordered basis B = ( [1 0 1], [0 1 1], [2…

A: ANSWER:

Q: Find the coordinate vector of v relative to the basis S = {v1, V2, V3 } for R3. v = (13, 4, 8); Vi =…

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Q: The vector v = -2 is orthogonal with 1 a) (-1 -6 7) b) (-1 6 -7) c) (-1 -6 -7) d) (1 -6 -7)

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Q: Find the coordinate vector of p(x) in P., relative to the basis S= {p,.P.-P;}, where p(x) =…

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Q: Which of the following pairs of vectors are linearly independent? Ou= (1,0) and w = (0,2). Ou =…

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Q: Find the coordinate vector of w relative to the basis S = {u1, u2} for R2. : (6, – 6), u2 = (2, 2);…

A: Here we have to find the coordinate vector of w relative to the basis S ={u1,u2} for R2 . Here…

Q: Find the coordinate vector of w relative to the basis S= = (u1, u2) for R. Let u = (2, –3), u2 = (3,…

A: Given

Q: Find the coordinate vector of v relative to the basis S = {v1, v2, V3} for R3. v = (-11,–17,7) V1 =…

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Q: Find the vector x determined by the given coordinate vector [x]R and the given basis B. -4 [x] B% =…

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Q: Q2) Find the coordinate vector [x]B of x relative to the basis B={b1, b2} bị -31 X =

A: We are give: B = {b1,b2} where b1 =(-1, 2)T and  b2 =(-3, 5)T Also,  x1 =(-1, 3)T  We need to find x…

Q: Find the coordinate vector for w relative to the basis S= {u1, u2} for R2. uj = (1, 0), u2= (0, 1);…

A: Here we use basic defnition of change of basis coordinate

Q: E Let p 8x + 4x + 3. Find the coordinate vector of p relative to the following basis for P2, Pi = 1,…

A: We have to find the coordinate vector of P.

Q: Find the coordinate vector of w relative to the basis S = { u1, u2} for R u 1 = (4, – 4), u 2 = (4,…

A: Given: u1=4,-4u2=4,4w=0,24

Q: Find the coordinate vector of Prelative to the basis S = {P,P2P3} P1 = 1+ x + x, P2 = x + x²,P3 =…

A: Vector

Q: Find the vector x determined by the given coordinate vector [x]g and the given basis B. -2 B = ,…

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Q: Find a vector perpendicular to the graph of z = - 3 x2 + 9 y2 – 7 x y at the point (8, 2, -268).

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Q: 2) Find the coordinate vector [x]p of x relative to the basis B={b1, b2}: [-3] bị = G.b2 = x =G

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Q: Find the coordinate vector of P relative to the basis S = {p1.P2.P3} P1 = 1 + x + x², P2 = x + x² ,…

A: p1=1+x+x2p2=x+x2p3=x2p=5-x+7x2

Q: . Find the coordinates of the vector v relative to the ordered basis B. a) B = {x² + 2x +2, 2x…

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Q: Find the addition of the vector using the component methods. 1. 9 m/s [N30°E] and 2 m/s [N 60°E].

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Q: Find the coordinate vector of w relative to the basis S = { u1, u2} for R². u 1 = (5, – 5), u 2 =…

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Q: Find the coordinate vector [x]g of the vector x relative to the given basis B. H b₁ 2, b₂ = X =…

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