Find the length of the vector. v = (-2, 0, 5, 1) %3D ||| M = %3D

Q: (c) Give an example of a linear combination that resulted in the zero vector that did NOT have O's…

A: We need to give an example of vectors whose sum with some non zero weights equate to zero. This can…

Q: Find the best approximation to z by vectors of the form c, v, + C2 V2- 3 3 1 - 5 1 - 2 V2 = 4 - 2 3…

A: To Find the best approximation to z by vectors of the form c1v1+c2v2.

Q: Choose the linearly dependent vectors in R Select one: a. LIGI 2 -2 b. O d.

A:

Q: (c) Give an example of a linear combination that resulted in the zero vector that did NOT have O's…

A:

Q: snip

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Q: b) Find values of h for which the vectors are linearly dependent. Justify your answer. 5

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Q: V, = [1 3 3 s]",V, =[3 10 6 7],7, =[2 7 3 2]" Check whether the vectors linearly are independent.

A:

Q: 2 3 Given the following three vectors u = |10], v = -5 and w 6 : 8. -22.

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Q: Find the vector PP,: 5. P, P2 12 2 4 6. 4

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Q: What are the values of h for which the vectors ar linearly dependent? HEB -4 7. h

A: Given that:  Let u=2-41, v=-67-3 and w=8h4

Q: b Find all vectors W (W₁, W2, W3) that satisfy the equation: (3,1,4) x W = (-3,1,2).

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Q: 19. Express GE in terms of a, b, and č. A D 20. What is a vector equal to D - A ? B

A: Explanation of solution of above questions as follows:

Q: Find values of h for which the vectors are linearly dependent. Justify your answer.

A:

Q: -1 Let a = -1 and b = 1 be two vectors. What is a2b2-la b2?

A:

Q: Find values of h for which the vectors are linearly dependent. Justify your answer. 3 7.

A: Let v1=1-14, v2=3-57, v3=-15h

Q: Let a point a = (2, 4, 5). c) Find a unit vector that has the same direction as a.

A: Divide vector to it's magnitude for unit vector

Q: W If the vectors in the figure satisfy u= |v=1 and u + v +w = 0, then what is w?

A:

Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A…

A:

Q: a +c a) Let S = ba, Find three vectors in R so that each vector in S can be written as a linear…

A:

Q: a b Let A = ( d e f g h i. Find the column vector B such that AB =

A: Use the following formulae, to obtain the result. Let A be a square matrix. Then,

Q: -0-0 and V For the two vectors: U find the result of the expression: Eijkuivjek

A:

Q: vectors are also lincarly independent: Wi = a14 + +a, W2 = d1 + + aa am +. +a

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Q: Find the Value of h f00 which the vectors are linearly dependent 1. 3. 6. -3 1.

A: In the given question we have to find the value of h for which the given three vectors are linearly…

Q: Find a unit vector in the direction of the given vector. -18 18 -9

A: Given that the vector is (-18, 18, -9). Here we have to find a unit vector in the direction of the…

Q: Find the length of the vector. v = (-5, 0, -1, 2) ||v|| = 2 √5 Need Help? X Read It

A: Given vector is v = (-5, 0, -1, 2)

Q: G.) tell whether the following vectors are scalar multiples of 2= (3, 2,-5) %3D (a) (-6,-4, 10)

A:

Q: Choose the linearly dependent vectors in R Select one: -2 b. d. 2.

A: From a given set of four vectors we need to find the set of vectors which is linearly dependent in…

Q: 1 For what value(s) of h is the vector b = -3 in the span of the vectors V1 ,V2=

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Q: Given the points P1 (5, 4, 3), P2(1, 5, –2) and P3(10, –2, 5). Find the vector that is orthogonal…

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Q: Express v = (-i, 2 + i, -1) as a linear combination of the following basis vectors given below.…

A: According to the given information it is required to express the given vector v as a linear…

Q: Given vector U= ⟨3,1⟩ and V=⟨-4,3⟩, find a linear combination of the vectors u and v of the form aU…

A: Solving simply equations and find the value of a and b by compairing both side of vector

Q: Given two vectors e1=(1, 0, 0)T and e3=(0, 0, 1)T in the 3D space, figure out  a) e1 + e3​

A: Given e1=100 and e3=001 To find e1+e3

Q: Find the length of the vectors (a) –2 i + 2j – 4 k: length = (b) 0.47 – 0.4 + 1.6 k: length =

A:

Q: Given the vector component of D(2, − 6, − 5) and G(1, 2, 3), find the vector of D that is parallel…

A: Given:      D2,-6,-5       G1,2,3 Two vectors D and G are said to be parallel if their cross product…

Q: Determine by inspection whether the vectors are linearly independent. Give reasons for your answers.…

A: 12. Consider the given set of vectors.  The objective of the problem is to determine whether the…

Q: Given the vector v = (-3, 0, 1, -4), find u according to the following parameters. (a) u has the…

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Q: For what values of h are the given vectors linearly dependent? -24

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Q: 3 as a linear combination of the vectors: 0 Lo] 1. Write the vector v = 6

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Q: Which vector is not a linear combination of x, y and z? 1 X = 1 y =| 0 z = 1 -2 3 -1 1 -3 -1 3.

A: To check  the given question the set of vectors is linear combination we proceed as follows

Q: (c) Give an example of a linear combination that resulted in the zero vector that did NOT have O's…

A: Consider the vectors x1→=11, x2→=33 Consider two weighs c1, c2 such that c1x1+c2x2=0. Substitute the…

Q: Which of the following vectors form an orthogona EBA • BBR [0] 31 [0 a) b) -2 3 1 [2 [-2] c) 12 d)…

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Q: x = (1,0, -2, –3) of the vector ||x|| what is the norm? O C) 5 O A) 2 O D) 6 O B) 3 O E) V14

A:

Q: 3)Using vectors to find the area of triangle ABC,ifA(1,1),B(0,0) and C(-2,-1).

A:

Q: Using the diagram below, write AG using at least 2 other vectors. Use only AB, AD, and AE in your…

A: From the given diagram we can see that- AD || BC and AE || CG

Q: Let a1, a2, and b be the vectors in R? shown in the figure, and let A = [aj = b have a solution? If…

A: Given that:

Q: Which vector is not a linear combination of x, y and z? 2 X = 1 y = z = 1 -2

A: Given: x=21-1 ,y=101,z=11-2 Let's check all option  (i) 0-13 Let's choose scalars 0,1,-1, then…

Q: (a) What weights can we choose so that c,r1 + C22 is the zero vector? (b) Are your weights from (a)…

A: Given  x1→ = -11  and  x2→ = 21

Q: Match the vectors p, q, r, s, and t with one of the combinations of the u and v vectors from the…

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Q: Using the vectors below, show (ā + b) x(ā – b) = 2(bx a) a = [4, –1,2] b = -} – 3k %3D

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Q: Given the points A: (2,3,6) and B: (-3,-4,1), find the vector u = AB ū = < U

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