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.

Q: Q5. Are the set of vectors {[0 2 1]",[1 1 1]", [3 2 1]", [3 0 1]"} linearly independent? Does the…

A: Set of vectors are linearly independent if there is no non-zero solution of c1,c2,c3,c4. If there is…

Q: Which of the following pairs of vectors are linearly independent? Ou = (1,0) and w = (0,2). Ou =…

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Q: Determine whether or not the given two vectors are parallel.u =〈-3, 1, 4〉, v =〈6, -2, 8〉

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Q: Let u and v be two non-zero vectors in R". Which of the following options can we conclude are equal…

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Q: In 3-D, let L be a line that does not pass through the origin. let v1, v2, and v3 be three vector…

A: We have to decide there vectors v1, v2, v3 are linearly indipendent in R3 or not.

Q: Let x be an n-vector. (a) Is it possible for x · x to be negative? Explain. (b) If x · x = 0, what…

A: We shall define, x→=(x1,x2,...,xn) The dot product of two vectors x→ and y→ is given as,…

Q: The cross product of two vectors u=(2, -3, 1) and v=(0, − 1, 2) is 5. O True O False

A: Here is the solution:

Q: 46 4 and j -3 Express the vector v as a linear combination of a -12 y. ||

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Q: Which of the following pairs of vectors are linearly independent? Ou = (1,0) and w = (0,2). Ou =…

A: Linearly independent

Q: Write the vector w = (1, 1, 1) as a linear combination of vectors in the set S. V2 V3 S = {(1, 2,…

A: See the attachment.

Q: Express the vector v = -12 -28 as a linear combination of x = 2 [² and y= -1 -6

A: We can write the answer in the below steps.

Q: The norm of the vector v = (-4, 4, -5, -3) is O y66 O 30 O y6I 66 O 61 O y30 O7 O None of the other…

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Q: If is a covariant vector in Cartesian coordinates x',x2.

A: In this question, we have covariant tensor (x1x2,x2x1) By using the transformation cartesian to…

Q: Let x,y,z be (non-zero) vectors and suppose that z=4x−4y and w=12x−12y−4z. Are the following…

A: A vector is a span of vectors when the first one can be written as the linear combination of the…

Q: Without doing any calculations, explain why the following sets of vectors are linearly dependent:…

A: Since you have posted multiple question with multi part we are supposed to give solution of first…

Q: Which of the following pairs of vectors are linearly independent? u= (1,2) and w = (-2,-4). u= (1,0)…

A: If an ordered pair (x,y) can be written as k(x,y) for k any integer.

Q: 18 as a linear combination of a and y Express the vector v y.

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Q: A vector u is a positive multiple of . Vector v = with a , what will be the signs of d, e, and f?…

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Q: Determine if the vector v is a linear combination of the remaining vectors.

A: Given vectors are: v=123; u1=110; u2=011 If the vector v is a linear combination of the remaining…

Q: Is it true or false that the vector u = (3, 3, –3) is a direction vector to the line x + y+ 2z = 6 l…

A: I have written equation of line in parametric form and then checked the direction ratio

Q: Find the values of x, y and z that satisfy the vector equation 1 3 ·A·B·0-0-0-0 x 3 +y -2 +2 1 = 1…

A: We want to find values of x, y and z which satisfy given equation.

Q: Find the vector v = PQ. %3D P = (2,3,4) Q = (2,5, 10) V =

A: The vector v is given by v=<q1-p1,q2-p2,q3-p3> therefore   if P=(2,3,4) and Q=(2,5,10) then

Q: Which of the following sets of vectors are linearly dependent? (i) {(2,3), (-4,-6)}; (ii) ((0, 4,0,…

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Q: For what value of x, are the vectors vị 3 V2 = 3 and v3 = 2 linearly dependent? 3 Select one: 10 9.…

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Q: Every vector of R²is linear combination of (-1, 1), (2, –2)? Justify

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Q: Define irrotational vector. Is the vector A =(6xy+z³)i+(3x² - 2)j+(3xz² – y)k irrotational? Justify…

A: we have the vector A=(6xy+z3)i+(3x2-z)j+(3xz2-y)k we have to check weather the given vector is…

Q: (a) Determine whether W= (0, 5, 4) can be expressed as a linear combination of the vectors v1 =…

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Q: What three points are on the line L: vector r= (2,-5) + s(2,1), sER

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Q: Represent the line segment from P to Q by a vector-valued function. P(7, 0, 9), Q(6, −6, 7) r(t)…

A: Given: Represent the line segment from P to Q by a vector-valued function. P(7, 0, 9), Q(6, −6, 7)…

Q: Determine R21, the vector from P2(5, 2,–4) to P1 (3, –1,0). 2аx + Зау — 4а, — 2ах — Зау + 4a, | 4ах…

A: Given the points P25,2,-4 and P13,-1,0. To find vector R21 from above two points. The vector from…

Q: B)Find value of h for which the vectors are linearly independent, justify answer

A: 2-24 , 4-67 ,-22h

Q: Which of the following pairs of vectors are linearly independent? Ou= (1,0) and w = (0,2). Ou =…

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 4 y + 7 = z +…

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Q: c) Show that vector ū = 1 cannot be expressed as a linear combination of 2 in R3 3 vectors vi 1 and…

A: we have to show that , we can not write as a linear combination of vectors v1 and v2

Q: Which of the following sets of vectors are linearly independent? ° {0 ( 2 3 -3 2 4 ° {() () } 5

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Q: Determine whether or not the given two vectors are parallel.u =〈4, 2, -6〉, v =〈2, -1, 3〉

A: To determine whether or not the given two vectors are parallel.u=4,2,-6 and v=2,-1,3 By definition,…

Q: Let u¯¯¯=⟨−3,−5⟩, v¯¯¯=⟨2,−2⟩, and w¯¯¯¯=⟨2,4⟩. Find the vector x¯¯¯ that satisfies 9u−v+x=2x+w

A: Given that: u=-3, -5v=2, -2w=2, 4

Q: Ex: Show that if v, u, w are any vectors, then (H.W.) ux (v x w) + v x (w x u) +w x (u x v) = 0.

A: Dot Product Property :- a.b = b.a = a*b*cosθ

Q: Which vector below is NOT orthogonal to i = -2î – 8ŷ + 7k ? -- 1 2 8. O 0 î + 0ĵ + 0k 3. 1 O 4 î - )…

A: Given problem:-

Q: Which of the following vectors are linearly independent? (2) (0) 21

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Q: Which of the following sets of vectors are linearly independent?

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Q: For what value or values of the constant u are the following vectors are linearly related and are…

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Q: Let A=(0,−3,1), B=(−2,3,2), and P=(k,k,k). The vector from A to B is perpendicular to the vector…

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Q: For which value of x do the following vectors form a linearly dependent set in R V =| x, x,

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Q: Determine R21, the vector from P2(5,2,–4) to P1 (3,–1,0). 2аx + Зау — 4а, —2ах — Зау + 4az 4ax + ay…

A: Consider the following vectors: P→1=3ax-ayP→2=5ax+2ay-4az…

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

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Q: Express the vector x as a linear combination of the vectors u1, U2, and uz: 1 6. U3 = and x= 3.…

A: We will use elimination to find the values of the constants C1 C2 and C3.

Q: Determine if the vector x̄=(-12i-j-5k) can be expressed as a linear combination of ū=(1,-1,0),…

A: The solution of the problem is given in the next steps.

Q: the vector from P1(1, 3) to P2(4, –2) is

A: Given :

Q: Can vector w = 3 be written as a linear combination of v₁ = 4 4 vector w belong to span{v₁,v₂}? V₂…

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