A. B. | Find a nonzero vector w € R³ which is orthogonal to u but not orthogonal to v Find a nonzero vector x € R³ which is orthogonal to both u and v.

Q: Use the accompanying figure to write each vector listed as a linear combination of u and v. Vectors…

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A: Given that: |b|=12a=<-6, 3, -2>

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Q: Find the vector p given the relationship between A and x.

A: Step1: Let's break down the problem step by step.Given Matrices: We are given two matrices: 𝐴 and…

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A: The solution is given as

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Q: Determine whether the vectors AB and PQ are equal to each other.

A: Solution of the problem as follows

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Q: 4. Let v = a b Describe the set H of vectors that are orthogonal to v.

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A: If two vectors are perpendicular then multiplication of their direction ratio is zero.…

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Q: Express the vector x as a linear combination of the vectors u1, U2, and uz: 1 6. U3 = and x= 3.…

A: We will use elimination to find the values of the constants C1 C2 and C3.

Q: Show whether the vector w is a linear combination of vectors v1, v2 and v3 where --I --E --4 -- w =…

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Q: Find a vector a that has the same direction as (-10,7, 10) bưut has length 4.

A: In the given problem we have to find a vector a that has the same direction as -10, 7, 10 but has…