7. Let u = (2,1, −1) and v = (√√2, 1, 1). Find the decomposition of u into vectors that are parallel and perpendicular to v (find u‚ and ₁₁ ). v

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…

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Q: the vectors î+ cos - cos (ß- α) } + cos (y - α) k, cos (a − B) i + j + cos (y – B) k i + cos (B-y)…

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Q: 3. Given two vectors x = [0, 1, 1] and y = [- 3, 0, 0], use your knowledge of vectors to determine…

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Q: vectors i + cos (P- j+ cos (y - a) k, cos and s (ß−y) ĵ+ak, where a, ß and y are different angles.…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The given vectors a,b and c are not coplanar because,  a.(b x c)=0  Explanation: Given vectors,…

Q: = 2. Are the vectors V = (2, — 4, 1) and w Show work and briefly explain. (3, 2, 2) orthogonal? 3.…

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Q: n Let ú and ú be two nonzero vectors in R" for which ú + 2v is orthogonal to ủ – 20. What is the…

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Q: Express v = ⟨5, −3, 2⟩ as a sum of orthogonal vectors such that one of the vectors has the same…

A: Given that v = ⟨5, −3, 2⟩u = ⟨1, 1, −8⟩

Q: Find a set of vectors {ü, ī} in R' that spans the solution set of the equations w - 1 - 2z 1 5w + 2z…

A: The objective is to find the the set of vectors that spans the  solution set of the equation.

Q: Let a and b be vectors in R" such that ||a||=||||= 2 and <a,b)=3. Then ||a-b||= ..

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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 &lt;1,1,0&gt; and &lt;0,1,1&gt; to get a cross product for a…

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Q: 4. a) b) Let x = 27 + 3j - k, y = i- j + 4k and Z = −3ỉ + ]. Express the vector x – ỷ – 3ž in terms…

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Q: For the vectors à = (1, 0, −4) and ¯` = (5, 2, 1) what is the scalar a projection of onto a 1/17 √17…

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