Given v = -8i - 4j and w = -6i + 4j  b. Find vectors v1 and v2 such that v1 is parallel to w,v2 is orthogonal to w, and v1 + v2 = v.

Q: Given vectors u=⟨−2,−10⟩ and v=⟨−36,7⟩, find vector u+v.

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Q: Find a vector, w, which is perpendicular to the vectors where u = 101-20 +14k and v=-20 +10ĵ-5k W +…

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Q: For the pair of vectors, find U+V, U-V, and 4U+3V U= 2i+5j, V= 5i+2j

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find values of a and b, for which the following vectors are parallel: (8, a + b, 6), v = (4, 3, 2a —…

A: Given:   u = ⟨ 8 , a+b , 6 ⟩     v = ⟨ 4 , 3 , 2a - b ⟩

Q: Find the angles between the vectors: A= -2i+j-2k and B=2i-2j

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Q: Let ū= 2 + 2Ĵ - 2k and J = 2î - 2Ĵ + k. + Verify that the vectors i and I are perpendicular and have…

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Q: Given the following vectors, calculate −8u+7v U=(-3,-1),V=(7,-1)

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Q: For the vectors u=−1,4 and v=−4,2​, calculate projvu and scalvu.

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Q: given u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  determine a,b so that v are parallel vectors

A: Given that, u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  We have to determine a,b so that u and v are…

Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

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Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors V₁, V₂, and v₂…

A: Linear Combination:       A vector V is called a linear combination of vectors   v1, v2, . . ., vn…

Q: Use the vectors v=-2i+j and w=4i+3j to find: v + w

A: v=-2i+j and w=4i+3j

Q: Given the following vectors, calculate -5u+2v u=(7,3), V=(5,-3)

A: Given query is to perform indicated vector operation.

Q: For any vector v in ℝ3, explain why v × v = 0.

A: Given v∈R3 v×v=0

Q: For the vectors A = ux + 3uy + 5uz, B = 2ux + 4uy + 6uz, and C = 3ux + 4uy + 5uz, show that A × ( B…

A: For the given vectors A,B,C show the given property  If A=a1ux +a2uy+a3uz and B= b1ux+b2uy+b3uz then…

Q: Given the vectors v = 4i + 2j – 3k and w = 3i – 4j + k. Find | 2v- w| А. V41 В. /126 С. V65 D. V138

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Q: Find the cross products u xv and vxu for the the vectors u = 2i-j-2k and v= i +3j - 3k. U XV= i+ j+k…

A: (.) Given vectors are,      (.) Corss product of two vectors  and   is given by,           &…

Q: Consider the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1) Find AB and AD,…

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Q: For the vectors u = 3ỉ − 8j + 2k and - v = 4i - 2j – 4k we have - ü × v = 28i + 20j +38k. Select…

A: The given vectors

Q: Find the area of the parallelogram spanned by the vectors -i+ 2j and i - j.

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Q: Let W= W= , V1 = , V2 = V3 = If possible, express w as a linear combination of the vectors v₁1, V2…

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Q: For the vectors u = 37 - 8j + 2k and v=4i - 23 - 4k we have ū × v = 28i + 20j +38k. Select one: O…

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