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

Q: Find a non-zero vector 7 perpendicular to the vector u 12 [3]. -6

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Q: C A

A: We use Triangle law

Q: Find the two unit vectors orthogonal to both a = (3, 1, 1) andb = (−1, 2, 1).

A: Given: a=3,1,1 and b=-1,2,1

Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (12, -16, -2)

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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: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), u = (5,2,…

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Q: Find two linearly independent vectors perpendicular to the vector 1 3

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Q: 1 Y

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

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Q: Let a = (-1; 3; 2) and b = (4; -2; 1). Find two unit vectors orthogonal to both a and b. Are the…

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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: Find a unit vector in the direction of vector (v= ai + bj ) and orthogonal to the vector ( u= 3i -…

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Q: b) Give an example of 5 linearly independent vectors in R*, or explain why it is impossible to do…

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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 two unit vectors orthogonal to both v (1,1,-1) and w-(2,-1,1).

A: Calculation:Compute the two unit vectors as follows.

Q: are the vectors u=(-4,2) and v=(-1,2) orthogonal, parallel, or neither?

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Q: Find the magnitude of the given vector. (-1, 2, 2)

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Q: Find the equation of the plane sanned by the above two vectors

A: Given: Two vectors u=223 and v=-20-3. To find: Equation of plane spanned by given vectors.

Q: 3 Determine the unit vectors that are nernendicular to A - and R -

A: Perpendicular vectors

Q: Find the dot product of vectors and .

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

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Q: Find the unit vector parallel to the sum of the vectors a [2, 4, -5], b = [1, 2, 3]. a.

A: Two given vector are ; a= 2i + 4j - 5k b= 1i+ 2j + 3k Resulting of vector a  & vector b  R= a+ b…

Q: Find the length of the vector. v = (0, 9)

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Q: Determine if the vectors are linearly independent or not

A: The vectors are linearly independent.

Q: Find a non-zero vector x perpendicular to the vectors  v= [-3]    And u = [-1]      [11]…

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Q: Find a non-zero vector i perpendicular to the vector i

A: See the attachment

Q: The ________ ________ of two vectors yields a scalar, rather than a vector.

A: Given as  The ________ ________ of two vectors yields a scalar, rather than a vector.

Q: Determine whether the vectors AB and PQ are equal to each other.

A: Solution of the problem as follows

Q: Find two linearly independent vectors perpendicular to the vector 4 -7

A: This question can be solved using the concept of linearly independent vectors.

Q: Find two linearly independent vectors perpendicular to the w 41 -6- 1

A: Given: vector is v→=4-91 we have to find the two linear independent vectors perpendicular the given…

Q: The orthogonal vectors are also independent.

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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 unit vector that is orthogonal to both ı̂ +ȷ̂  and ı̂ +?̂

A: Given query is to find the unit orthogonal vector to the given vectors.

Q: Show that the vectors v1, V2, and v3 are linearly dependent, where n- . -. 3 V2 = 5 and v3 = 6 Vi =…

A: The given vectors are v1=12, v2=34 and v3=56

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

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

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Q: u

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

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Q: Consider three vectors ) --() 1 1 2 V1 V2 V3 W 3 1 3 2 1 | (a) (b) Are v1, V2, V3 linearly…

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Q: Find a unit vector u that had the same directions as the vector v= (-3,3,-2)

A: Use the basic property of unit vector

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 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: Find the given vector. Vector v of length 4 in the direction of = (-4, -4)

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Q: Find a vector orthogonal to the vectors ā = and 5=.

A: Recall:  Vector orthogonal to the vectors a→ and b→ is a→×b→a→×b→ We have, a→=1,2,3, b→=1,0,1