Q1) Let a= 2 1 a) Compute a·b а. b) Find a unit vector u in the direction of a. c) Is a and b orthogonal vectors? d) Find the distance between a and b.

Q: Determine for the two vectors: x = ai+bj+ck and y = ditej+Xk where a = 2.7, b = 4.5, c = -3.4, d =…

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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: 3) The lines I and m have vector equations r = (3i + 6j + k) + s(2i + 3j - k) and a) Determine…

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Q: A=-i+2j-2k, B =2i+j-k and C=i+2j+3k vectors are given: a)Find the vector R1 = A+2B-C  b)Calculate…

A: Given A= - i + 2 j - 2 k B = 2 i + j - k C= i + 2 j + 3 k  To evaluate, a)Find the vector R 1 = A +…

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: Determine for the three vectors: x = ai+bj+ck, y = 2i+k and z = di+ej+fk where a = 2, b = -3, c = 3,…

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Q: Q1. Given three vectors A = -a,+2a,+3a, B = 3a,+4a,+5a, and C = 2a, -2a,+7a,, compute : a) Angle…

A: Given the vector A=-ax+2ay+3azB=3ax+4ay+5azC=2ax-2ay+7az

Q: Which of the following properties of vectors is incorrect? à × b = b × ā X à · ( b + c ) = à · b ± à…

A: The vectors are  and

Q: Find the value of a such that the vectors a and b are perpendicular where a = a î - 16 ĵ - 19 k and…

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

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Q: Which of the following vectors represent a + b, if a and b are given as below? b a a) b) c)

A: Given : Vector a and vector b is given

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: Calculate the values of a and b so that points A (1,1,1), B( a,2,b) and C(1.0,0) are aligned…

A: If two vector are collinear , then they are scalar multiple of each other. that is AB→=λAC let a ,…

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: A vector F = 30 i + 40 j is used to represent a force. Identify a unit vector u that has the same…

A: Note:- To find a unit vector with the same direction as a given vector, simply we divide the given…

Q: Q.5) Determine and what is the differences between the two results. Also prove that is orthogonal to…

A: We have to find the difference between the vectors A→=-i^+8j^+4k^ and B→=i^+18j^-6k^. Also, prove…

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…

Q: u = 57 - 5] + k and 7 = 27 + 14k.

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Q: 27-j+4k sī +2j-2k.

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