II. Determine whether or not the following sets of vectors {u , v , w} are both orthogonal and orthonormal: i = (2,–3,6), 4. й%3 (2,-4, 5, - 2), ў %—D (1,—1, - 2, -2), w %3D (-2,4,2, -5) 3. ū = (0,0,0), w = (3, –2, –2)

Q: Which of the following pairs of vectors are linearly independent? Ou = (1,0) and w = (0,2). Ou =…

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

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Q: 1 u=-----(1, 1, 1, 0), V 3 1 -- (-1,-1, 2, 0) W = V6 1 =(1,-1, 0, 0) V 2

A: Here we have to determine whether or not the following set of vectors { u, v, w } are both…

Q: Let =(5,4,1),(3,-4, 1), w=(1, -2, 3). Which pair of vectors, if any, are perpendicular (orthogonal)?…

A: We have to find out solution

Q: u = (2, 3,-1) v= (0, 1, -2) w = (2, 4, -3).

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Q: AB, BC, AC.

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Q: The vector (-1, 5, 3) is orthogonal to vector : Select one: О а. (0, 1, -2) O b. (-1, 1, -2) О с.…

A: Two non-zero vectors are orthogonal to each other if their dot product is equal to zero.

Q: The normal vector to the vectors u = (2, 1, 1) and v = (1, -1, 3) is:    4i - 5j + 3k  4i - 5j -…

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Q: 1. Find the vector component of the vector ū (-3, 6, 2). [28, 63, 0] in the direction of = %3D

A: We have to find vector component of u =[28, 63,0]  along the direction v=[-3, 6,2] Vector component…

Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: 12 2 Determine if the pair of vectors v₁ = 3 V₂ = =-3 are orthogonal. -5 3

A: We have to find whether the given two vectors are orthogonal or not?

Q: Suppose u, v, w are linearly independent vectors. Prove that S is linearly independent where (a) S=…

A: A set of vectors v1 , v2 , v3 ,...,vk from a vector space V  is said to be linearly independent , if…

Q: b) u = (3, -1), v = (1, 5) et w = (8, -2) c) i = (1, 0, 0), j = (0, 1, 0) et k = (0, 0, 1) gajte…

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Q: Let us consider two vectors in R³: u = (2, -3,5) v = (a, b, c) Find the values of a, b, and c such…

A: Two vectors are orthogonal if their dot product is zero.The dot product of two vectors u→=⟨u1,u2,u3⟩…

Q: Vektor m =[5, -2, 1] Vektor n =[-6,-2, 4] a. find vektor p where p = -2m+0.5n b. find vektor…

A: a) write p in terms of m and n with the given relation p =…

Q: Find all values of b such that the set of vectors {(1, 1,0), (b, 1,0), (0, 2, 3)} is NOT independent…

A: The given set of vectors:  110 , b10 , 023

Q: Let a = (a1, a2), b = (b₁,b2) be vectors in R². The area(a, b) is given by 1b₂-a2b₁. (a.) Show that…

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