1.4 Please answer these (a,b,). Explain well your calculations and steps! Thank you!!! A)Expresses the vector u = [-2,5,-1] as a linear combination of v = (1,3,0] and w = [8, -9,3]. B)Checks whether the vectors p = [0,4,-3], q = [-2,-4,1] and r = [-1,6, -3) are coplanar. Either to = [-2,-3,2] and b = [0, -4,1]. C)Determines an orthogonal vector to a and b.

Q: 6. Let a = (1, 0,3) and u = (2,-1,5). a.) (5 pts.) Evaluate projau. b.) (5 pts.) Find a vector that…

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Q: Can the vector (3, −5, 2) ∈ R3 be written as a linear combination of the vectors v1 = (2, −3, 1) v2…

A: Linear Combination:Let V be a vector space and S = {v1, v2, · · · vn} ⊆ V . Then for α1, α2, · · ·…

Q: Let 2 = (-8,1) and To (-7, -2) Compute the following vector B Prijz To projections.

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Q: The vector component of A = 62 + 3ŷ + 32 along B=-22 +79 + 42 is: O a. 0.61âx+-213ây+-1.65âz O b.…

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Q: is the sum of 2 vectors with components and . What is a?

A: To find the value of a, you can use the properties of vector addition.Given that the sum of the…

Q: Which of the following pairs of vectors are perpendicular to each other? a) (4, 14, -18) and (6, 21,…

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Q: 2 Let a = -1 | and b = 1 | be two vectors 1 What is |al2|b|2 |a · b[? ?

A: Let us consider the vector v=x1,x2,....,xn then the magnitude of the vector is obtained as…

Q: Which one of the following vectors is parallel to the line 34x-2y=1? O (2,34) O (34,2) O (-2,34) O…

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Q: Q1: suppose the middle of each side of the triangle is a vector from the vertex (1,2,3), (3,2,1),…

A: Vectors

Q: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

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Q: 7. Show that the vectors A=4a, -2a + 2a, and B = -6ā, +3ā, -3ā. e parallel to each are other.

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Q: Let u= and v=. Give two vectors that are perpendicular to both u and v.

A: Consider the vectors

Q: 1. Determine whether the points A(3,4,-1) and B(1,-1,0) lie on the line with vector equation…

A: Given vector equation :

Q: how can i learnd about vector in r2 and r3?

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Q: Given u = (-5,2) and 7 = (-9, 12), find the vector 4u + v. Select the correct answer below: O (-23,…

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Q: please solve it q5,b

A: 5,3,-1Explanation:Step 1:For linear dependency it should satisfy u=C1​v1​+C2​v2​+C3​v3​:      Step…

Q: Determine if the three vectors lie in the same plane: a = (-2, 1, 3) and b = (3,-2,4), and =(-19,…

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Q: Express i = (3,7,-4) as a linear combination of i = (1,2,3), ỷ = (2,3,7), z = (3,5,6), also check…

A: see below the answers

Q: Q4) Determine if the vectors below are independent. Justify your answer. -3° - ,V2 = [2. v, = |0|…

A: Given that:      v1=002, v2=05-8, v3=-341

Q: b) For what values of h, vector u = (h, -3, -5) can be written as a linear combination of the…

A: Vector u= (h,-3,-5)Vector v1 = (1,0,-2)Vector v2 = (-2,1,7) Vector u can be written as linear…

Q: (H) Find magnitude and angle (deg) of the following vectors, where x=x-component & y-y-component.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (22,20)

A: We have to find the solutions