6. Given the vectors u = i + 2j and ʊ = i- j + k, find: a) й × 3ӣ. b) A unit vector orthogonal to u and 7. c) The area of the triangle with adjacent sides u and 7.

Q: ude 5. Find the area of the triangle created by the

A: Given a, b and c are three vectors with the same magnitude 5.

Q: u = (5,-1, 2) and v = (2,-1,-3) Compute the following: a.) v b.) lul c.) uv d.) projuv e.) The angle…

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Q: Let ū= (2,3,-5) and = (-4,-6,5). Determine a vector equivalent to 2 - 3 v Express - using unit…

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Q: F C Use the regular hexagon provided to write each of the expressions as a single vector. a) AE + DB…

A: Given a regular Hexagon ABCDEF. To obtain each of the expressions AE→+DB→ , BF→+AD→+DB→ , FD→-BC→ ,…

Q: b) Consider the vectors a = 3i – 2 j +7 K, and b = -5 i +4 j-3 k, find 1- a.b 2- Angle between a and…

A: b Given vectors are a=3i−2j+7k and b=−5i+4j−3k. 1 We have to find the a⋅b…

Q: 4. The diagram is a rectangular prism. Let ủ = AB, v = AD and w = AE. Express each vector as a…

A: Given ,  and

Q: 2. Explain what it means for vectors to be each of the following: a) equal b) opposite c) collinear

A: A) equal vector

Q: b) Consider the vectors a = 3i - 2j+7 K, and b = -5i +4j-3k, find 1-a.b 2- Angle between a and b. 3-…

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Q: a) à-2b b) ||a+b|| c) ab a=,b=

A: According to bartleby guidelines when student post multiple subpart question then expert must have…

Q: Find the magnitude of each vector. 23) u--7i-7j A) None of these B) V38-6.164 C) V86-9.274 V105…

A: Solution

Q: Consider the vectors: a = -11î + 10j +–12k, b = 2î + -8j + -12K, c = -7î +-10j + 10k a) Find: bxc =…

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Q: Say j was a non zero number what is the advice inverse?

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Q: Given vector b = −2i - 4j + 8k and c = Bi+j-2k. c 1) Find the value of ß if vector b and care…

A: we need to find the value of β and the unit vector c^ in the opposite direction of c.

Q: Consider the vectors = and v=

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Q: a) Find a (b + c) b) Find | a. (b+c) |. State its geometric interpretation. c) Find a vector that is…

A: a=3i-2j+k,b=-2i+j-4k,c=-i+j-3k

Q: State the condition(s) that: a) two vectors can be equal vectors. b) two vectors can be opposite…

A: To state the conditions for a given vectors.

Q: ) If m = 2i+2j-k and n = 31-6j+2k, find: a) m ·n and b) the angle between m and n. c) the component…

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Q: Calculate the angle between the following two vectors using dot product approach: A. A=5ỉ+12j B.…

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…

Q: 1. For two vectors: B=6â, +2â, -4â, A=4â, -10â, +5â a) Find the angle between these vectors. b)…

A: Given two vector  We have to find the angle between the two vectors.

Q: b) Given Ā = 3 i + 5 j + k, B = 4 i + 2j + 2 k, find %3D 1- Angle between A and B 2- Unit vector…

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Q: Given the vectors u =(-2,3,1) and v=(4,-6,–2) : a.) Determine if the vectors are orthogonal,…

A: u and v are orthogonal if u .v = 0  , and if v = ku ,for any real number k , then u and v are…