Find the coordinate vector of v relative to the basis S = {v1, v2, V3} for R3. v = (-11,–17,7) V1 = (3,0, 0) v2 = (6,6,0) V3 = (7,7,7) (v)s= ((), (2) 3 (3) )

Q: The coordinates of the vector x= (7,5, – 16) in the basisB={v=(-1,0,3), u=(0, - 5,2),w=(2,0,1)} are:…

A: Given that x=(7,5,-16) and the basis is      B={v=(-1,0,3),u=(0,-5,2),w=(2,0,1)} . Here we have to…

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

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Q: Find the coordinate vector of v relative to the basis S = {V1, V2, V3 } for R3. v = (-14, –23, 7);…

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Q: Find the coordinate vector (v)s relative to the basis S={v,,V2,V3} for v = (2, 1, -2), if V= (2, 2,…

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Q: The vector (-1, 5, 3) is orthogonal to vector : Select one: О а. (0, 1, -2) O b. (-1, 1, -2) О с.…

A: Two non-zero vectors are orthogonal to each other if their dot product is equal to zero.

Q: a) Find the vector orthogonal to the plane through the points P(2,-3,4), Q(-1, -2, 2), and R(3,1,…

A: equation of sphere centered at (h, k, j) and with radius R is: (x-h)2 + (y-k)2 + (z-j)2  =  R2 if A…

Q: (i, 2, 3i), v = Co over C. Are these vectors linearly independent? Can they form a basis 5.…

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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: The coordinates of vector x = (3, -2, 4) relative to basis B = { (0, -3, 4) , (1, 0, 0) , (0, 4, 3)…

A: A vector is a mathematical quantity which obeys the set of axioms. In general vectors are…

Q: The coordinates of vector x = (3, -2, 4) relative to basis B = { (0, -3, 4) , (1, 0, 0) , (O, 4, 3)…

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Q: Find the stable vector of 1 2 1 3 2 3

A: ANSWER:

Q: Find the terminal point of a vector v = with an initial point P(0, 6, 2).

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Q: Which of the following vectors is the scalar multiple of z-(4, 3, -2) ? Ou- (-28, -21, -14) Ou-(-24,…

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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: (и, из) for Find the coordinate vector of w relative to the basis S R². Let ui (5, –4), u2 = (3, 7),…

A: Solvig by au+bv=w

Q: Find the coordinate vector of (-1, 32) relative to the basis {(1, 3), (-1, 4)}.

A: We use the definition of coordinate vector relative to a given basis to answer the given question.

Q: Find the vector with initial point P and terminal point Q: P= (2,-3) and Q= (0,5)

A: Simply substrate the given two points fro one another.

Q: a. Write the vector (-6, 6, 0) as a linear combination of ā = (3, 1, –1), az = (3, –2,1) and āz =…

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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 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 coordinate vector of [4, -2, 1] relative to the ordered basis B= ([0, 1, 1], [2, 0, 0], [0,…

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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 coordinates of vector x = (3, -2, 4) relative to basis B = { (0, -3, 4) , (1, 0, 0) , (0, 4, 3)…

A: A detailed solution is given below.

Q: Find the stable vector of 0 0 1 1 P 2 1 3 3 ..-

A: It is an important part of statistics. It is widely used.

Q: 3 Find the coordinates of y 7 relative to the orthogonal basis Uj = U2 = U3 = -2 -4 10 2 2 4 252

A: The solution is given as

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

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Q: Q2: Determined the component of the vectors at each point…

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Q: Find the coordinate vector of v relative to the basis S = {v1, V2, V3 } for R3. v = (-1, –10, 6); v1…

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Q: Do the vectors v1 = (-3, 7) and v2 = (5, 5) form a basis for R²?

A: Given data:- Vector, v1=-3,7 and v2=5,5

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: 3. (a) Find the terminal point of the vector that is equivalent to u = (2, 3) and whose initial…

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Q: 4 Find the coordinate vector of b=|-2 relative to the ordered basis B= 1

A: The coordinate vector of a vector b = ( p, q, r )T realtive to the ordered basis B = { xT , yT , zT…

Q: Q3: Find the scalar and vector components of the vector with initial point (2, 1) and terminal point…

A: Given initial point A(2,1) and terminal point B(-5,7)

Q: Find the coordinate vector (v)s relative to the basis S= {v ,,v,,v;} 21 for v = (2, 1, -2), if V=…

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Q: Find the coordinate vector of v relative to the basis S = {V1, V2, V3 } for R3. v = (11, 3, 8); vị =…

A: Find coordinate vector of v relative to basis S

Q: what is a basis? what happens when we write a vector as a linear combination of the vectors in a…

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Q: Does the vectors v1 = (-3, 7) and v2 = (5, 5) form a basis for R2?

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Q: b) Express the vector (–1,5, –6) in R³as a linear combination of (2,0, 7), (2,4, 5) and(2, –12,13).

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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: Find the coordinate vector [x]R of the vector x relative to the given basis - 25 b = 5 , b2 = -3 , x…

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Q: Find the coordinate vector of v relative to the basis S = {V1, V2, V3 } for R3. v = (42, 34, 24); Vị…

A: Given

Q: Find a vector ~v ∈ R^3 such that ~v is orthogonal to the vectors (2, 3, −1) and (1, −2, 3) and ~v ·…

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Q: Find the coordinate vector of v relative to the basis S = {v1, V2, V3 } for R3. v = (41, 39, 21); v1…

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Q: Q.5. Show that the vectors V1 = ( 1, 1, 2, 4 ), V2 = ( 2, -1, -5, 2 ), V3 = ( 1, -1, -4, 0 ) and V,…

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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: The coordinates of the vector x= (2,15, – 7) in the basis B= (v=(2,0, 1) ,u=(0, – 3,2),w=(0,0, 1) }…

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

Q: The coordinates of the vector x= (2,15, – 7) in the basis B={v=(2,0,1),u=(0, – 3,2), w= (0,0, 1)} of…

A: We will first suppose the coordinates to be c1, c2 and c3. Then express x in terms of these…