5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3, 2, 1) (b) the vectors (1, −3, 2) and (2, 1, −3) and (−3, 2, 1).

Q: Determine nonzero vectors that are orthogonal to the following vectors. (a) (1, 5)     (b) (6, −1)…

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Q: Which is the vector perpendicular to the vectors n₁ = (2, -3,0) and n2 = (1,7,9)?

A: Given that: n1→=2,-3,0, n2→=1, 7, 9 The perpendicular to the vectors n1→ and n2→ is required.…

Q: Determine a vector that is orthogonal to both (1, 4, −1) and (5, 1, 0).

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Q: Let J = 31 +43 - K and ✓ = 2₁ +3₁-2k be of two vectors. Find the component and projection U in the…

A: u→=3i+4j-k,v→=2i+3j-2k

Q: Determine if the vectors are Linearly Independent or Linearly Dependent. -2 [1 -5 =|2.X2) = -3 ,x6)…

A: A set of n vectors of length n is linearly independent if the matrix with these vectors as columns…

Q: Show that the vectors 2 -2 2 uj = 2 uz = 3 uz = 7 1 -5 -3 are linearly dependent. Find all r1, x2,…

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Q: Determine which set of vectors is not orthogonal. v = (-10,0), w = (0,5) v = (0,1), w = (0,1) O O v…

A: If two vectors are orthogonal then the dot product of the vectors is 0.

Q: There are four vectors (1,2,3), (1,-1,2), (2,4,6) and (2,6,c). If there is a condition in which the…

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Q: (i) Prove that { (1, 2, 1) , (2, 1, 5) , (1, –4, 7) } is linear dependent subset of R³. (ii)…

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Q: (2) Determine if the vectors are linear independent or linear dependent. Justify your answer. (a)…

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Q: How did you get the vectors and to get a cross product for a perpendicular vector to i+j and j+k.

A: How did you get the vectors <1,1,0> and <0,1,1> to get a cross product for a…

Q: Are the vectors V₁ = 2 1 1 V₂ = 1₂V3 3 4 1 linearly independent? -9

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Q: Find all values of c for which the vector v₁ = (1, 0, 0, c), v₂ = (0, c, 0, 1), V3 = (0, 0, 8, 8),…

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Q: 4. (a) Determine if the four points P¿(1,1, –2), P2(4, 0, –3), P3(1,–5,10), and P,(-7,2, 4) lie on…

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Q: Find an equation of the plane that is parallel to the vectors and , passing through the point (3,…

A: Use given parallel vectors <1,-3,1> , <4,2,0> and passing through the point (3,0,-2)…