Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices. (8,9,-3), (24, 10, -3) (0,7,-7), (0, 21, -21) (7,0, 8), (9, 5, 5), (7, 8, 3), (0, -8,0) (-5,0, 6), (9, 1, 6), (8, 2,7)

Q: Find the indicated vector. Let u = (-1, -1), v = (7, S). Find u + v. O (-8, -9) O (7, 6) (6, 7) O…

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Q: Which of the following sets of vectors in R are linearly dependent? Note. Mark all your choices. O…

A: Let us consider a set of vectors v1,v2,......,vn then the set is linearly independent if…

Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

A: We want to find linearly dependent vectors. We know that a set of vectors is said to be linearly…

Q: (а) (4, — 1, 2), (-4, 10, 2) (Ъ) (—3,0, 4), (5, — 1, 2), (1, 1, 3) (c) (8, – 1, 3), (4,0, 1)

A: As per rules, we will solve first three subparts: a) Given vectors are   u=4,-1,2, v=-4,10,2. To…

Q: Which of the following sets of vectors in R° are linearly dependent? Note. Mark all your choices. O…

A: We say a set of vectors v1, v2, ...., vn is linearly independent if…

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Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Express the following as a linear combination of u = (6, 1, 7), v = (1, -1, 4) and w = (1, 8, 7).…

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Q: Which of the following vectors is/not perpendicular to the line whose direction vector is (2,-3,5)?…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given,S = { (2, -1, 3), (5, 0, 4) }To find:  the vector as a linear combination of the vectors in S.…

Q: #1: a) Express v = (2,13,6) in R³ as a linear combination of the following vectors vị = (1, 5, – 1),…

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Q: Find a vector orthogonal to (0,2,2) and (-2,4,0). Choose the correct answer below. OA. (-8,-4,-4) O…

A: An orthogonal vector to a vector (a, b, c) is of the form (u, v, w) such that      (a, b, c).(u, v,…

Q: Let u = (-1,-6,0), v= (6, 1, -3), w = (16,-9, h - 3). Determine the value for h so that w is in the…

A: To find the given questions related to span of a set :-

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…