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

Q: Determine whether the vectors u = and v = are perpendicular.

A: As we know that if the dot product of two vctors is zero then we can say that the vectors are…

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: A. Find the values of a such that vectors and are orthogonal .

A: According to bartleby expert policy only one individual question is to be answered. Kindly repost…

Q: 1 Y

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Q: Determine ä xb and bxå. Confirm that the cross product is orthogonal to each vector. ā=[4, –3, 5],…

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Q: Find a non-zero vector B' which is perpendicular to A'= 2i'-3j'.

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Q: Find all vectors v such that xv =.

A: Given: 1,2,1×v=3,1,-5 We have to find all the vectors v such that the given equation is satisfied.

Q: Let j = | and ü .Write j as the sum of two orthogonal vectors, it -2. %3D an {u} and ¤2 orthogonal…

A: Given:- →y=-69  →u=5-2

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: A vector is in standard position if the _____ of the vector is placed at the ______ ofa rectangular…

A: To fill up the blanks,  A vector is in standard position if the _____ of the vector is placed at the…

Q: Find the vector

A: The vector r=<a,b> is written as, r(i)=ai+ bj

Q: Write the vector x=0 as a linear combination of the vectors u=0, v= 1, w= 1 1

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Q: Write the vector as a linear combination of the unit vectors i and j.

A: Given two unit vectors i and j.  To write the linear combination of i and j.

Q: (b) Determine whether the vectors, , and are linearly independent or linearly dependent.

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Q: Find two linearly independent vectors perpendicular to the vector V = 3 -5

A: Let's find.

Q: Let v be the vector from initial point P1 = (2, -1) to terminal point P2 = (5, -3). Write v in terms…

A: Given that v is the vector that has initial point P1 = (2, -1) to terminal point P2 = (5, -3).  we…

Q: Determine if the vectors are linearly independent or not

A: The vectors are linearly independent.

Q: Find a vector v that is perpendicular to the plane containing 3 -() 6 and 0 2

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Q: Find a unit vector u with the same direction as vector v =

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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: Show that v, = v 2 V2 3 span R and express the vector v= as a linear -7 %3D combination of v,,v2.

A: Solve the following

Q: Find the value of c that will make the vector 2 lie in the span of 0 2 and

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Q: Determine whether the vectors v, = 1 10 and 11 are linearly %3D V3 independent.

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

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Q: Find the vector v with the

A: Given, the vector               v=3, and u=0, 3, -1, 1

Q: Find a vector that is perpendicular to both and 2. A =-i - 2j +4k B = 4i - j

A: Take cross product and it's magnitude then find unit vector in perpendicular to both vector

Q: Find a unit vector u in the direction opposite of (-8,-4,-3).

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Q: Find the components of the vector shown above. Vector =

A: From the Figure note that, the tail of the vector has coordinates -3,-4 and head has coordinates…

Q: C a

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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: Define the vector?

A: we have to define the vector.

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: Use vectors =(-1, 1), v= (7, –2), and w= (0, 4) to find (u w)v, and determine whether the result is…

A: We can answer it as below

Q: Find the vector v, where u = (-1, 3) and w = :(-3, -1). v = u + 2w Illustrate the specified vector…

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

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Q: Write the vector v= 1 as the linear combination of vectors --0 w =

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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 the length of the vector T

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Q: Determine if the vectors u=, *v= and w= lie in the same plane or not

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Q: Consider the vectors x1 = (2, 1)T and x2 = (6, 3)T . Determine the length of each vector.

A: Given: x1=2i+j, x2=6i+3j we know that for any given vector v=ai+bj, length l of vector is given by…

Q: Use the vectors u= (3, 6), v=(-6,5) to find the indicated quantity. State whether the result is a…

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Q: Let v be the vector from initial point P1 = (4, -5) to terminal point P2 = (4, 3). Write v in terms…

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Q: What is the vector j?

A: We have to tell what is vector j   it is also written as j→

Q: Assuming vector B is 12 units long, vector 4B is:

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Q: Find the component form of the resultant vector. 11) f = (-7, 7) Unit vector in the opposite…

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Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) (10, -12, -2) %3D V =

A: Find the unit vector that is orthogonal to both u and v

Q: a b

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Q: Express the vector v with initial point P and terminal point Q in component form. (Assume that each…

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