Express the vector b 12 as a linear combination of the vectors a, = -3 , a2 %3D 6. - 5 - 14 a3 %D - 5 a1 + az + a3 = b %3D

Q: b) Give an example of 5 linearly independent vectors in R*, or explain why it is impossible to do…

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Q: Determine if b is a linear combination of the other vectors. If so, express b as a linear…

A: topic - vectors

Q: 1. Find the vector equation of the line joining the points whose position vectors are -2ŷ+2 and – 2ŷ…

A: Note: " since you have posted multiple question. As per our guidelines we are supposed to solve only…

Q: Express the vector t as a linear combination of the vectors u, v, and w. 1 2 2 t = v = - 4 - 4 u= 14…

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Q: Choose the linearly dependent vectors in R Select one: a. LIGI 2 -2 b. O d.

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Q: Q / Determine the value of b so that vectors 4 = 49-593 V=-2₂0₂-5 w = b5 1₂ 6 are in the same Plane

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Q: -9 Vị V2 -2 -8 13 ? -32 Which weights should be used for b = a1vị + a2V2 to obtain the vector b = a1…

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Q: Choose the linearly dependent vectors in R Select one: a. O b. C. d. 1 2. 3.

A: Topic- vectors & matrix

Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: Choose the linearly dependent vectors in R Select one: a. b. С. 2. d.

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Q: What value of a will make the vectors (-2, x, 1) and (2, –1, 1) orthogonal? Select one: O a. 3 O b.…

A: For orthogonal, dot product of two vectors are zero.

Q: Write "Yes'' if the ff. vectors are unit vector and "No" if it's not. a.) (4/5,3/5) b.) (1,4) c.)…

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Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A: For a given vector v→, length of the vector is denoted by v→  and direction vector is obtained by…

Q: snip1

A: (a) Let the vector 123 be a linear combination of the vectors 103 and -11-3. Then we can find…

Q: What is the vector shown in component form? 4 3 4 5 Enter your answer by filling in the boxes. -9 T…

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Q: Q6:- A/ Show that the vectors A. (BxC) B.(CxÃ)=C.(AxB), if the vectors A= 31-j+2k B=21+j-k C= i-…

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Q: 5Q Determine if the given vectors are orthogonal, parallel or 1 i. a=, b= ii. a=, b=> iii. a=i+2j…

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Q: Choose the linearly dependent vectors in R Select one: -2 b. d. 2.

A: From a given set of four vectors we need to find the set of vectors which is linearly dependent in…

Q: Express the vector t as a linear combination of the vectors u, v, and w. 0. -2 t3D -5 W = 24 1 t= u+…

A: By Compearing the entries i have solves the problem

Q: 12) u = (-4, -3V105) Unit vector in the opposite direction of u

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Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k = 11 6.…

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Q: Consider the vectors A =4ax+2kaytaz and B = ax+4ay-32az what value of k the two vectors A and B will…

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Q: 5. V = 3 V2 = 7 4 -5 -2 Which weights should be used for b = a¡V1 + azV2 to obtain the vector b = 10…

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Q: Find the component form of the resultant vector. 4) u=(-4,-7) 5) u = (3, 3) Find: -8u %3D Find: 5u…

A: If we have a vector v = v1 , v2 and a scalar α thenα v = αv1 , v2 = αv1 , αv2

Q: A 1. : Two vectors, F1 = 50 N and F2 = 60 N, have directions as shown in the figure below. Determine…

A: To determine the resultant of the two vectors in the x-axis and the y-axis, first determine the…

Q: Are the vectors i = [-4 -3 -3), i [3 -1 -4] and w= [3 0 -3] linearly independent? Choose If they are…

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Q: 1 b. O Find a, b and c given that 2 За 2 a [ii] Vectors 3 -6 are parallel. Find a and b. and -4 b. 3…

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Q: Choose the linearly dependent vectors in R. Select one: a. O b. C. d. 1 -1 -2

A: Suppose u and v be 2x1 vectors then u and v are linearly independent if det(u,v)≠0. If det(u,v)=0…

Q: 6. V2 = V1 32 Which weights should be used for b = a1V1 + a2V2 to obtain the vector b = 21 a1 = Ex:…

A: To find a1, a2

Q: Find the length of the vectors (a) –2 i + 2j – 4 k: length = (b) 0.47 – 0.4 + 1.6 k: length =

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Q: Determine whether the vectors are linearly independent or linearly dependent. 7 9. [5] v, = |0|v, =|…

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Q: Write the vector (-7,- 5) as a linear combination of the unit vectors i and j. (-7,-5) =- 7i - 5j…

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Q: Find the vector -5u-3v given the vectors u 5i+j and v = 2i-3j. Write your answer in the form ai+bj.…

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Q: R3: (a) a= [ O, 2, O ], (b) b = [3, 2, l] , (c) c = [l, -2, l] , (d) d = [-1, -1, -2] Compute the…

A: Given vectors   a = 0 , 2 , 0b = 3 , 2 , 1c = 1 , -2 , 1d = -1, -1, -2Now 2a = 2 0 , 2 , 0 = 0, 4, 0…

Q: 8 3 V2 = Vị Given a1 -2 and a2 = 4, what vector is formed by the linear combination a1 v1 + a2v2?…

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Q: Express the indicated vector w as a linear combination of the given vectors v₁ and v₂ if this is…

A: Solution:-

Q: 5 2 2 Write as a linear combination of the vectors 2 2 2 2. 2.

A: Here we have to write (5,2,-2) as a linear combination of the vectors (2,-1,-1),(2,0,-1) and…

Q: Find the sum of the vectors. u = (4, –1), v = (-1, -4) u + v = Illustrate the sum geometrically. y y…

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Q: Vị 6. V2 = 29 Which weights should be used for b = a¡V1 + azV2 to obtain the vector b = ? 19 Ex: 42…

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Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: 3 as a linear combination of the vectors: 0 Lo] 1. Write the vector v = 6

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Q: 2) Express the resultant vector as a linear combination of unit vectors i and j and find the…

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Q: 3Q Express each vector as a product of its length and directions i. 2i+j-2k ii. 3/51+4/5k iii.…

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Q: Determine if b is a linear combination of the other vectors. If so, express b as a linear…

A: we can b as a linear combination or not

Q: [C 1. : Two vectors, F1 = 50 N and F2 = 60 N, have directions as shown in the figure below.…

A: Solution

Q: Find a non-zero vector i perpendicular to the vectors 3 -13 and i = 4

A: Given problem:-

Q: Determine if the given vectors in the picture are orthogonal, parallel or neither.     *Please go…

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Q: Calculate ther and y components of the vector given below. Do not round any intermediate…

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Q: Determine if b is a linear combination of the other vectors. If so, express b as a linear…

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Q: Q/ if A-(6, 2, -4) and B=(4,-2,5) Find the unit vector of AB UAB -2i+ 4j+9k √101 O خیار 1

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