Find two linearly independent vectors perpendicular to the vector 1 3

Q: Find the magnitude of vector v. 1 X + + 1 2 4 (4,-3) -2+ -3+ -4 -5 - ليا 3 5

A: To find the magnitude of the given vector v .

Q: Find a non-zero vector a perpendicular to the vectors [3] and ū = 2 1

A: Given, v→ = 372  and  u→ = 121   We have to find the non zero x→ vector perpendicular to both the…

Q: Find the unit vector in the same direction as the vector u = [8, –7].

A: When you divide a vector by its magnitude you get an unit vector along its direction.

Q: Determine the two unit vectors that are orthogonal to v = (1,2). Which two unit vectors are parallel…

A: Let the required unit vector orthogonal to v be <x,y>

Q: Use paper and pencil to identify the redundant vectors. 4 3. 0. 0.

A: Definition : Redundant vector in a set is a vector which can be written as linear combination of…

Q: 1 Y

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Q: Find a non-zero vector perpendicular to the vectors and ú =

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Q: Find two vectors v1 and v2 whose sum is ⟨−5,0⟩, where v1 is parallel to ⟨5,1⟩ while v2 is…

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Q: Find the length of the vector a %3D

A: The length of a vector x→=abc is given by the equation; ||x→||=a2+b2+c2

Q: The unit vectors normal to the vectors (2, - 8,11) and (- 3,0,5) are

A: Find unit vector

Q: When decomposing the vector into the sum of two vectors the first is parallel to the other vector…

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Q: Find the unit vector u in the directionof the vector v=(1, 2, -2). 8.

A: Given,           v=1,2,-2

Q: Which two vectors are perpendicular to both a and b?

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Q: Find two vectors of norm 1 that are orthogonal to the vectors u = and v =

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Q: Find a non-zero vector x perpendicular to the vectors 3 13 and u =| 4 -4 3

A: Let's find.

Q: Find the projection of vector A=(6,7) along vector B=(1,4).

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Q: Compute the distance between the vectors u = and v = 315

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Q: Is the pair of vectors 2i – j and -i+jperpendicular? no yes

A: Given vectors 2i-j and -i+j Two vectors are perpendicular if and only if dot product of those two…

Q: Find the angle θ between the vectors.u = (1, 1, 1), v = (2, 1, −1)

A: The vectors are To find the angle between the given vectors, use formula

Q: 2. Find two unit vectors orthogonal to both and .

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Q: Find two linearly independent vectors perpendicular to the vector 4 v =

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Q: Find a non-zero vector & perpendicular to the vectors v = x = ► 3 H and u = 4

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Q: Determine if the vectors are linearly independent or not

A: The vectors are linearly independent.

Q: Determine whether the vectors are linearly independent.

A: Given vectors,  v1=321, v2=120, v3=-12-1 To determine: Whether the vectors are linearly independent.

Q: The plane through the origin that contains the vectors i - j and j - k

A: Given vectors are i - j and j - k. The plane is passing through given vectors i.e. 1i - 1j+0k and…

Q: Describe all vectors v that are orthogonal to u

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Q: Find a unit vector parallel to the vector a´. a'= (-2,3,–1)

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Q: 1 Find two vectors of norm 1 that are orthogonal to the vectors u = and v = 3

A: Given problem is :

Q: Find two independent vectors both of which are perpendicular to i = 3

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Q: Find nonzero vectors u, v, w that are perpendicular to (1, 1, 1, 1) and to each other.

A: Then   -------------(1) Also  --------------------(2)

Q: Determine whether the vector v is a linear combination of the remaining vectors. v = 3

A: (1).  The given vectors are: v→=12 ,  u1→=-1   3    and    u2→=   2-3

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

A: We will check whether the vector v is linear combination of others or not.

Q: Find non-zero vectors I and 7 that are both orthogonal to and orthogonal to each other.

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

A: The solution is given below

Q: Find the two unit vectors orthogonal to both a = (4, 1, 1) and b = (-1, 4, 1).

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Q: Find a non-zero vector 7 perpendicular to the vector u = 5= [8]. 6

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Q: Determine if the given vectors are linearly independent or linearly dependent.

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Q: Determine the vectors axe linear yy independent -3 2. 8. O ON

A: For linearly dependent determinant  of matrix is zero D=0

Q: Determine whether the vector U = 2 is a linear combination of the vectors Xi = 2 X2 = and X ? Give…

A: Let  U→=aX1→+bX2→+cX3→  Where, a,b and c are scalar. Then,…

Q: Find a vector orthogonal to the vectors and

A: This problem belongs to vector section and we solve this using dot product concept

Q: B. Find a vector has length 10 in the direction of vector V=.

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Q: Determine whether the vector v = 8 is spanned by the vectors and 3 or not.

A: Given three vectors and we have to find if  v=789 is spanned by111 and 123

Q: Find self-value and self-vectors.

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Q: Show whether the vector w is a linear combination of vectors v1, v2 and v3 where --I --E --4 -- w =…

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Q: Find two linearly independent vectors perpendicular to the vector i = |3

A: to find linearly independent vector perpendicular to vector v→=139 solution let X=x1x2x3 as we know,…

Q: Find the two unit vectors orthogonal to both a = (4, 1, 1) and b = (-1, 4, 1). %3D

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