Let O be any point in space. a, b, c are the vectors from O to the three vertices of parallelogram ABCD. Using these vectors, express vector OD.

Q: Consider A = ⟨0, 4, 2⟩, B = ⟨6, −1, 0⟩ and C = ⟨3, 0, 1⟩. draw the vectors A, B, and C in…

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Q: Consider the vectors: å = ỉ– 3j + 2k , b' = 4j – 2k and ở = i + k in 3D A. Write 3a – 4 b - 2¢ in a…

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Q: If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not…

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Q: Find the value of a so that the vectors a = (34, -22, 49), b= (5, 51, 35). and c = (a, -394, -14)…

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Q: Perform the following steps in R. Answer the questions in parts where there are questions. Attach R…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: If able please provide a visual representation , this question is from linear algebra: Let P and Q…

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Q: In R, create a vector named bpm that contains these 5 values. Provide your R code and provide the…

A: Given 77,74,82,76,81

Q: Find a non-zero vector that is orthogonal to (-7,6,5).   Separate your entries by commas, and…

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Q: Suppose that the vectors [1, –3, 1] and [2, 4, –1] form the sides of a parallelogram. Find the…

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Q: W 106° U ? V

A: To find the measure of unknown angle m∠UVW.

Q: Fill in the blanks with numbers to show that the vector is a linear combination of the ---

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Q: Express the vector from P(-1, -4, 6) to Q(1, 3, -6) as a position vector in terms of i, j, and k.

A: Given vectors are P-1,-4,6 and Q1,3,-6.

Q: A vector is written as aî + bĵ. What form is that?

A: A vector is written as aî + bĵ.

Q: 5. Add vectors 2i– 2j & i+5j by a) Graphing these two vectors in a coordinate system in standard…

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Q: 4. a) Givenā = [-5, 2, -3],6 = [7,-4, 1], c = [x, -2, z], and a × c =b, find x and z. b) Find a…

A: Given,  a→=-5,2,-3,  b→=7,-4,1 , c→=x,-2,z

Q: Show that the vectors 3 Ot span R³ by giving a vector not in their span. B00 4

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Q: B) Use vectors to check whether the points A (1,-1,0), B (2,1,-1), and C (-1,1,2), are vertices of a…

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Q: Let vi = (-9,9, 6). v2 = (2, 6, 4). v3 = (4,0,0) in Rº. Find a nontrivial linear relation among…

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Q: Determine whether the vectors (1,2,3), (5,6,7), (9,10,11), and (4,8, 12) are linearly independent.

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Q: Say that a is a vector (nonzero) in the third dimension. b and c are two other vectors. If a x b = a…

A: Given: The statement is a×b=a×c where a, b, and c are vectors. The vector a is a nonzero vector. To…

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: Let a = (2, 2, -1) and u = (0, 5, 3). Evaluate projau. a.) b.) Find a nonzero vector that is…

A: Let a = (2, 2, - 1) and u = (0, 5, 3)a.) Evaluate proj_a(u)b.) Find a nonzero vector that is…

Q: Consider the points C(3,-2,0), D(-1,5,-1). Let b be the vector with representation CD. Write b in…

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Q: Find a vector orthogonal to all vectors in the set ((2,1,2), (2, – 2,3)) . Write your answer as an…

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.