Find the coordinate vector of A relative to the basis S = {A1,A2A3,A4}. A1 = ,A2 = A3 A4 = ;A = (A)s = ( i i i ).

Q: If v = -2i + 5j, find a vector orthogonal to v.

A: Given v=-2i+5j We need to find a vector that is orthogonal to v. Two vectors are said to be…

Q: Find the component form of the vector v, (a) write the vector using standard unit vector notation,…

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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: Find the coordinate vector [x]gof x relative to the given basis B= {b1,., bn}. -[-]»= [-{]==(:)

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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: Find the B-coordinate vectors of ei and e2, where and B : %3D %3D %3|

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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: Represent the vector with respect to each of the two bases { ] y = B = B2 =

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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: 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 the coordinate vector of P relative to the basis S = {P1P2.P3} P1 = 1 +x+x*,P2 = x + x, p3 =…

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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: 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 component form of the vector v and (b) sketch the vector with its initial point at the…

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Q: Find the coordinate vector [x]g of x relative to the given basis B= {b, , b2}. 3 2 b, ,b2 2 -7 - 5

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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 equation of the line that passes through point M(1, 1, 2), intersects the following…

A: Question is solved.

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 w relative to the basis S = (u1, u2) for R?. Let ui = (5, –3), u2 =…

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Q: Find the magnitude of the given vector. (-1, 2, 2)

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Q: Find a vector equation of the line passing through the points P(-2, 1, 3) and Q(3, 0, -2). 1+t ,te…

A: The vector equation of the line passing through the points A(x1,y1,z1) and B(x2,y2,z2)  is given by;…

Q: Find the magnitude of the vector AB A=(4, 1) and B=(-3,0)

A: Given that, A = (4, 1) B = (-3, 0) We have to find the magnitude of the vector AB.

Q: 17 (c) Find a unit vector which is orthogonal to the vectors -1 2 and 1 -3 5

A: First we will find a vector which is orthogonal to both given vectors and then we will find the unit…

Q: Find the coordinate vector of A with respect to the basis = {E22, E21, E 12 E11} of M22

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Q: Find the value(s) of h for which the vectors are linearly dependent. [1 11:-5 -2 6.

A: To find the value of h for which the vectors are linearly dependent.

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 a unit vector parallel to the vector a´. a'= (-2,3,–1)

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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 a vector orthogonal to both v and W. v = 3i + 2j + k, w = -5i - 5j - k 3i - 2j - 5k -3i + 2j -…

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Q: Find the coordinate vector of v relative to the basis S = {v,, V2, V3} for R³. (b) v = (5, –12, 3);…

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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: Find the coordinate vector of a -2 with respect to the basis B %3D for R.

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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: Calculate the magnitude of the vector AB shown in the diagram. A B-

A: As per guidelines we can solve the first question only. For any other answer repost the question.

Q: Find a vector equation for the line that goes through the points (7, 6, 2) and (2, 14, 2). F(t) =…

A: Given: Let A(7,6,2) and B(2,14,2) be the two points the line passes through To find: vector equation…

Q: Find the position vector for the vector v, whose initial point is (0, −2) and terminal point is (5,…

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Q: Find the magnitude of the following vector. (-1, 2)

A: Given<-1 , 2>

Q: 8 Find the 3-dimensional unit vector in the direction: a 2i + 3k 6 -i+ 2j – k c 2i – 2j + k

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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 an equation of the plane passing through the point perpendicular to the given vector Point…

A: Here we have to find the equation of the plane passing through the point (0,4,0) and perpendicular…

Q: Find the orthogonal projection of the vector b =-1 on Nul(A), where -2 -2 3 -10 A = 1 -1 2 3 1 -3 3…

A: For the solution follow the next steps.

Q: Find the coordinate vector for the vector v = (3,4,3) relative to the basis S={(3,2,1), (-2,1,0),…

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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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