Orthogonal Projections are extremely important both as theoretical and algorithmic building block in linear algebra Let = 2 and L be the line {kw Į k E R}, where w 122 125

Q: Show that the vectors i - j, j - k, k - i are parallel to a plane.

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Q: What are the components of vector a, given the following information |a|=14 directional angle= 120…

A: Solution : According to the question,      The components of vector a is given in the following…

Q: 18) a) Find a unit vector that is orthogonal to both u = and v = . b) find the area of the…

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Q: Question 17 of v be the vector from initial point P₁ to terminal point P2. Write v in terms of i and…

A: Given query is to find the Indicated vector.

Q: 1) a) Find all vectors such that X = b) Explain why there is no such that X =

A: It is required to find all the vectors v→ such that 1,2,1×v→=3,1,-5. It is required to explain why…

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Q: Vectors in R must have two or more values. A) True B) False

A: Ans: B) False

Q: 2: Given points A(2,-3,1), B(-4,-2,6), C(1,5,-3) find, a) vector from A to C, b) unit veetor…

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Q: Let V = R¹ and let W = The vector True False 22 -2 43 4 Span is in W. 3 30

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

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Q: Let v = ( 1, 2 ), Find a vector w with the same direction as v such that || w || = 7.

A: Let v=1,2 Then,  v=12+22=5 The unit vector in the direction of v is, v=vv=1,25=15,25

Q: Define the vectors u = и %3 (-5, 2, –1) v = (3, 2, –5) - а)Compute u: 0. b)Is the angle between u…

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Q: -El--E--E| a) Consider a set of vectors, x =|3 ,y =| 2 , and %3D 14 Can we express the vector, v = 4…

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Q: 2. The position vectors of A, B and C relative to a fixed origin O are respectively, Find, ABAC

A: [2].

Q: , If P(2,-2,1) , Q(3, -1,2) and R( 3,-1,1) ノ a) find the area of the triangle determined by the…

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Q: 2b.) Suppose u, w are two vectors in R' satısfyıng uXu = 4, wXw uxw = 8. What is the distance…

A: Given u and v be two vectors in ℝ7 satisfying u×u=4, w×w=16, u×w=8

Q: Describe the span ot the two vectors (1,0,9) and co. 1,15 geometricellyy in

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Q: 0) Any u unit vector and each (a, b) for the point, D_ƒ (a, b) = − D₁ƒ(a,b) True False

A: In this question, the concept of Directional derivatives is applied. According to the Definition of…

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A: This question is related to vectors, we will solve it using given information.

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Q: SEvaluation of JA - 2B| through define length of the vector |A| equal to and length of vector B|…

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