Find all vectors orthogonal to 3

Q: Find two vectors of norm 1 that are orthogonal to the vectors u = (2,−3,4) and v = (3,1,−5)

A: The cross product of two vectors is perpenducular to both of the vectors. The cross product of the…

Q: Determine which sets of vectors are orthogonal.

A: Consider the given vector as -312, 241 and 1-12

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: Determine a vector that is orthogonal to both (1, 4, −1) and (5, 1, 0).

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Q: Express the vector (-1, 0) as a linear combination of the vectors (-1, - 1) and (-1, 1). (-1,0) =…

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Q: 3. Find a unit vector with the same direction as (3, 4).

A: If we devide each component of vector v by |v| we will get the unit vector Uv.

Q: Suppose that uj and u2 are orthogonal vectors, with u1 = 2 and u2|| = 4. Find |5u1 - u2 ||. ||5u1 -…

A: We have to solve given problem: Let  U1=(a1,a2)  U2=(b1,b2)5U1-U2=5(a1,a2)-(b1,b2)…

Q: Show that the vectors are orthogonal.

A: Let the given vectors be v=0i+-4j,u=-7i+0j.

Q: Find the vector v = PQ. Р3 (1,6, 5) Q = (5, 7, 1)

A: To find vector v=PQ→.

Q: Find the vector v whose initial and terminal points are given below. (5.4, 2.4), (0.4, –2.6)

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Q: Find the vector in the direction of (5, – 12) with length 3.

A: To find: A vector in the direction of 5,-12 with length 3.

Q: Find the vector with length V17 and same direction as = (7,0, -6).

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Q: Find two vectors that are not multiples of each other and are both orthogonal to〈2, 0, −3〉

A: Consider the first vector, and the second vector, x1,y1,z1 and x2,y2,z2, respectively. Since both…

Q: 1. Determine the dot product of the two vectors in the diagram.

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Q: find the diJ tance betueen the vectors

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Q: Find the coordinate vector of (-1, 32) relative to the basis {(1, 3), (-1, 4)}.

A: We use the definition of coordinate vector relative to a given basis to answer the given question.

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

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Q: Find a unit vector that is orthogonal to both [0, 1, 1] and [1, 0, 1].

A: The given vectors are u=(0,1,1) & v=(1,0,1).

Q: Write down the 2 by 2 matrix that a) project every vector onto x¡ axis. b) rotate a vector clockwise…

A: We have to solve given problem:

Q: Show that the vectors are orthogonal.

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Q: Find unit vectors that satisfy the stated conditions.

A: I have provided this answer with full description in step-2.

Q: Find two unit vectors orthogonal to both (1,-1,1) and (1,0,3)

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Q: Show that the vectors are orthogonal.

A: Given vectors are u=<u1, u2>=<4, -1>v=<v1, v2>=<2, 8>

Q: Select all vectors parallel to the vector (1,-3, 5). O (2, -6, 10) 0(-1,3,6) - 15

A: here to we need to find the parallel vectorsto the given vector from the given options. the solution…

Q: Find a vector in the same direction as (3, –2) with length 10.

A: The vector that has the same direction as 3,-2 has the coordinates proportional to the given vector.…

Q: Find the vector that has the same direction as (3, 2, -6) but has length 5.

A: Just follow the flow and you are done.

Q: Find two vectors of norm 1 that are orthogonal to the vectors u = (2,1, -4,0), v = (-1,-1,2,2), and…

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Q: Find all orthogonal vectors to u=(2, -3).

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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: We have two vectors: a= a-(:) and b=() What is the resultant of -a plus b?

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Q: Determine whether the vectors u = (-3,9,6) and v = parallel, (4, –12, –8) are orthogonal, or…

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Q: ) Find a unit vector with the same direction as (1,0, 7).

A: We can find the unit vector as below.

Q: Find a vector of length 3 pointing in the same direction as .

A: Find a vector of length 3 pointing in the same direction as 4,-3,-4

Q: The orthogonal vectors are also independent.

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Q: Determine if the vectors (2, –2, 1) and (0,1, 2) are orthogonal.

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Q: Find the length of the vector.v = (2, 0, −5, 5)

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Q: The independent vectors are also orthogonal. Select one: True or False

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Q: Determine which sets of vectors are orthogonal.

A: Given,

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

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Q: Determine whether the set of vectors Q={(-1,1,1).(-1,0,2).(1,2,3)} spans R'.

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Q: Find the magnitude of the projection of (- 1, 2) onto the vector (3, 5)

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Q: Select all vectors parallel to the vector (1, –3, 5). O (2, –6, 10) O(-1,3,6) - 15 ? 5 )

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Q: Find a vector orthogonal to both (-4,-4,0) and to (0,-4,-4) of the form (100)

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Q: Find two vectors of norm 1 that are orthogonal to the vectors u= (2, 1, - 4, 0), v= (-1, - 1, 2, 2)…

A: Let X=x,y,z,t be the vector that is orthogonal to u= (2, 1, - 4, 0), v= (-1, - 1, 2, 2) and w= (3,…

Q: Suppose that u, and uz are orthogonal vectors, with ||u1|| = 5 and ||u2|| = 2. Find ||4u1 - u2||- ||…

A: Let,        u=x1i+y1j+z1kand v=x2i+y2j+z2k It is given…

Q: Show that the vectors (1,1,0), (1,0,1), and (0,1,1) generate F3.

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Q: Prove that swapping the order of vectors in the cross product changes the sign of the output: ьха3 -…

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Q: Show that the vectors are orthogonal.

A: Given : 3,6 and 4,-2

Q: Verify that the vectors a = (2, 5, –1) and b = (3, –1, 1) perpendicular. а. are

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