Find the coordinates of vector u=(4,5) with respect to linear basis ((2,1),(1,-1) ? a. 2 b. 3 • 2 O c. -2 d. -3 -1 N m m 2

Q: Find two vectors v1 and v2 whose sum is (-5, –5, 5), where vi is parallel to a =(0, –1, –2) while v2…

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Q: Find a vector, w, which is perpendicular to the vectors where u = 101-20 +14k and v=-20 +10ĵ-5k W +…

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Q: 2 Write the vector x= as a linear combination of the vectors -1 1) u=0 |, v=| 1 w= 1 1 N O H O O

A: Consider x = au+bv+cw then 20-1 = a100+b110+c11120-1 = a+b+cb+cc On comparing the coefficients , we…

Q: The plane passing through the three points A(4, –3, –4), B(-4, –3,2) and C(-3,3, –2) can be…

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Q: Write the vector (2, –3) as a linear combination of (2, –1), (–1,2) Select one: O 2/5(2, –1) +…

A: We need to find the linear combination of the given vector. NOTE - all the options given are wrong.…

Q: Find the coordinate vector of p relative to the basis S = {P₁, P₂, P3 } for P₂. p = 15 - 20x + 6x²:…

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Q: Find two linearly independent vectors perpendicular to the vector 1 3

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Q: has an initial point (-3, -6) and terminal point (4, 5). Write as a linear combination of the…

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Q: b Find all vectors W (W₁, W2, W3) that satisfy the equation: (3,1,4) x W = (-3,1,2).

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Q: 2. (a) (b) (c) Determine if the vectors are linearly independent. Justify your answer. and HNO 8…

A: We use definition of linearly independent vectors.

Q: Compute the following, then sketch each resultant vector. u=(0, -7),v =(-8, 8) (a)u+v=  (b)u-v=…

A: Given vectors:u=(0,−7)v=(−8,8) (a)   u+v:u+v=(0,−7)+(−8,8)u+v=(0+(−8),−7+8)u+v=(−8,1) (b)…

Q: determine nonzero vectors that are orthogonal to the following vector (b).  (1, -2, 3) c. (5, 1, -1)

A: Let the vectors be- u→=xi^+yj^+zk^v→=i^-2j^+3k^ For the vectors to be orthogonal-…

Q: Give the vector equation of the line passing through P and Q

A: To find the equation of the line passing through P and Q.

Q: (a) Determine whether W= (0, 5, 4) can be expressed as a linear combination of the vectors v1 =…

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Q: Find the B-coordinate vector fe

A: First multiply some constant with given coordinator polynomial and equal the vector p(t) and find…

Q: Let the following vectors be in R³ a = (1,3,-1) b= (-2,1,3) c = (3,2,1) d = (1,-1,2) 15.- Find the…

A: Introduction: Vector Operations are operations that are performed on vector quantities. Vector…

Q: Find the B-coordinate vector for p(t)=4+3t-2t²-5t³ B={1-2t²_t³,t +3t³,1 +2t+t²} a. (2,-1,2) b.…

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Q: f possible express the vector v as a linear combination of 1, V2, and V3. b) v = (0, 0, -1), V₁ =…

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Q: Express à = (3, 1, –1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

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Q: ● Let A = (1.-2,4), B (0,3,2), C (-1,4,-2) be three points in R. Find the vectors u-AB and v-AC.

A: Let A=(1, -2,4), B=(0,3,2), C=(-1,4,-2) be three points in R3. We have to find the vectors u and v.

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: Let A = (0, 0, 0) and vector v = (-3, 0, 1). Find vector equation of the line containing the point A…

A: Given point on the line is A=(0,0,0) and the line is parallel to the vector V=(-3,0,1)

Q: Express the vector x as a linear combination of the u's. --0-0-0- 0, U₂5, U3 = -50 Select one: O A.…

A: Two matrices can only be added, if the dimensions of both matrices are the same. When two matrices…

Q: . Find the direction cosines of the vector joining the two points (4, 2, 2) and (7, 6, 14).

A: Given that: Two points are (4, 2, 2) and (7, 6, 14)

Q: Express the vector x as a linear combination of u,, u2, and uz. – 2 3 - 2 ,x = 0 u2 = 5 u3 = – 4 u1…

A: Given u1=-201, u2=356, u3=-26-4 and x=-99-38