Let H = span {v1, V2, V3, V4}. For each of the following sets of vectors determine whether H is a line, plane, or R. Select an Answer v 1. -3 -5 -1 , V2 7 , V3 , V4 3 -2 7 9. 3 Select an Answer 2. -2 -2 -6 -3 , V3 = -3 , V4 = -9 %3D ||

Q: ONEGOToft, Q3: Express the sum of the Vectors AB and CD, givende four Points A(1,-1), B(2.0),…

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Q: skip the first 3 thank you

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Q: Express (-1,2,4) as linear combination of x = (-1,2,0), y = (0,-1,1) and z = (3,-4,2) in the vector…

A: Definition used -                       If we have to write a vector as a linear combination of…

Q: The nullspace of A = the values of i and j. i= j= -6 9 -3 -4 6 321 can be written as the span of the…

A: Let A be a matrix of order m*n , then  The null space of A is defined as Nul(A)={ x in Rn : Ax=0 } .

Q: Consider the points P(5, −2, 3) and q(−3, 0, 2) a. Write vector |op| using unit vectors. b. Write…

A: Basics of VECTOR are used.

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

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Q: 4. Subtract the vectors shown. (blue - green)

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Q: Graph the two vectors x= (5, 1,3) and y=(-1,3,1

A: Topic:- 3D

Q: Consider the following vectors: 3 -3 3 3 2 8 -1 For each of the following vectors, determine whether…

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Q: Given the vectors a = (4,-2) and b = (-1,9), which statements is/are true? %3D V12 82 III. 3a - b -…

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Q: Find the cross product of the vectors a=⟨2,3,−2⟩ and b=⟨−3,−6,−4⟩. Select one: a. ⟨0,2,−3⟩ b.…

A: a*b = <-24,14,-3> option 'e' is correct

Q: 40. Given a = (3, –4) and 5 = (1, 2). Find the vector a + 25. O a. (5,-8) Оь. ( 5,0) O c. (4,-4) O…

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Q: GIven vectors =(-5,9) and v = (-1, 1), find u v. %3D

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Q: 1 V₁ = 2 - Copyright Texas State University, 2 3 rights reserved. V₂ = University, 2023 1 1 V3 =…

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Q: Your answer is correct. Suppose that vi - (2.4, 0, 7), v2 - (6,-3. 8. 3) and va - (-4,0,4, 5). Is…

A: The solution is given as

Q: 39. Given a = (3, -4) and 5 = (1, 2). Find the vector 2 a. a. (3,4) O b. (2,4) O c. (6,-8) O d.…

A: The given vector is, a⇀=3,-4

Q: Calculate the sum of the vectors that can be drawn as a vecto from the vertices of the triangle…

A: The vertices of the triangle is A7,4,-4, B1,-1,1 and C-8,-1,3

Q: Consider the vestun . il 1:= V2: V3: and u where a E R. (a) For which values of a is the span(v1,…

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Q: Determine if the three vectors lie in the same plane: a = (-2, 1, 3) and b = (3,-2,4), and =(-19,…

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Q: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

A: Given vectors a=(3, 4) and b=(4, 1)

Q: Let u = (-1,-6,0), v= (6, 1, -3), w = (16,-9, h - 3). Determine the value for h so that w is in the…

A: To find the given questions related to span of a set :-