QUESTION 5 Suppose S= {P1.P2.P3.P4.Ps.P6} is a basis for Ps and Pis a polynomial of degree 4. Then the coordinate vector (P)s is a member of. O R O None of the other options. O P4 O Ps O R° O R®

Q: Find the components of the subtraction p - q of the two vectors shown. P-q=0 X

A: The graph is shown as,

Q: Question 3 Let the basis B = {v=(1.2.3), u=(2, 1, 2), w= (3.-3, 1)} andx=(3, 2,-1). 1. Write the…

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Q: Question 4 Let a and b be vectors in R³. Calculate ||a × b|| given that ||a|| = 7, ||b|| = 4 and a b…

A: Given vectors a we have the following identity

Q: 000 1 1 do the following vectors span R: 1 1 1 -1

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Q: (a) Find the coordinate vector of a = with respect to the ordered basis 4 E = of R³: [r]E = (b) Let…

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Q: For what values of a do the vectors v, V2= V3= form a basis for R3? a O a++1 O a =+3 O a =+ 4 O all…

A: We know that a set of n vectors of length n is linearly independent if the matrix with these vectors…

Q: Let p, ()=2+P, P21)=t-4°, P3(1) =4 +t-2. Complete parts (a) and (b) below. a. Use coordinate vectors…

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Q: Question 8 For what values of a do the following vectors form a dependent set in R° ? V1 = (a, 0,…

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Q: Find the corresponding position vector. Define the points P = (10, 8) and Q = ( -1, -7). Find the…

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Q: Find the specified vector or scalar. u = 6i + 2j and v = 18i + 20j; Find v-u. O GV13 O V13 O 6V14 O…

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Q: 11. The vectors 03 and a. form a basis for b. are orthogonal C are both of the above

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Q: The coordinates of the vector= (4,9,1) in the basis B=(v=(2,0,1),u%= (0, - 3,2),w= (0,0,1)} Of R3…

A: For the solution of the problem follow the next step.

Q: Vector v is shown in the graph.

A: The vector is given by v=w1-u1i+w2-u2jwhere u1, u2 is the starting point and w1, w2 is the ending…

Q: Find the coordinate vector of p = 2 – 4x relative to the basis B = {q,,q,} for P1 where q1 = 3 + 8x,…

A: Given : We are given a vector,  p = 2-4x  and a basis  B = q1, q2,                 where,  q1= 3+8x…

Q: The number of houses that can be served by a water pipe varies directly as the square of the…

A: Given that, The number of houses that can be served by a water pipe varies directly as the square of…

Q: Compute the coordinates for A₁, A₂ ER where (213 3 with respect to B that is to find λ₁b₁ + λ₂b₂.…

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Q: EX 4B The table is given 1 1 4 Σ;)=(2 -2 1 A = (Σ, Σ, Σ, Σ, -1 22 5 3 2 -4 -3 -7. From the vectors…

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Q: 5. Find a basis of R' containing the vector (1, 1, -2)' and (1, 2, -1)".

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Q: When b is expressed as a linear combination C1u + c2v + C3W, what is C3?

A: Follow the procedure given below.

Q: For the vectors u (1,0, 1) and v (0, 2, 1), u x v = %3D O A. (1, 2, 0) O B. (1, 2, -2) OC. (2, 1, 2)…

A: Given. The vectors u = 1, 0, 1 v = 0, 2, 1 We have to find u×v

Q: QUESTION 7 For what value of 'k'(upto one decimal place), the vectors u= (10,17,22), v=(29.5,18) and…

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Q: Let 1 -12 2 A = -2 9 1 -9 A basis for the column space of A is { vector

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