Find 2 unit vectors orthogonal to both <1, 2, -1> and < 1, -2, -1>.

Q: Find a unit vector that are orthogonal to the vector (2,−3,1), (5,−2,0), and (3,0,1)

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Q: Find the sum of the vectors (–1,4) and (6, –2) and illustrate geometrically.

A: A vector V→=a,b can be represented on the cartesian plane, From the vector law of addition,…

Q: Find the vectors u and v whose initial point is u: (3, 2),v: (1, 4) and terminal points is (5, 6) ,…

A: Initial point is (3,2) and the ending point is (5,6) so the vector is u=(5,6)-(3,2)=(2,4)   Initial…

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 the angle between two vectors ū = (1, –1,0), and ở = (2, –1,2) %3D

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Q: Find two unit vectors orthogonal to both (2, 6, 1) and (-1, 1, 0). (smaller i-value) (larger…

A: Consider the given vectors. Cross product of two vectors is perpendicular to both the vectors. This…

Q: 1. Find a unit vector that has the same direction as the vector (-4, 2,4).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find two unit vectors orthogonal to a = (-2,-1, 3) and b = (5,-2, 1) Enter your answer so that the…

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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: Find two unit vectors orthogonal to both (2, 7, 1) and (-1, 1, 0). (smaller i-value) (larger…

A: Given that the vectors are 2,7,1 and -1,1,0.It is required to find the two unit vectors orthogonal…

Q: Find two unit vectors orthogonal to both (2, 6, 1) and (-1, 1, 0)

A: The given vectors are The unit vectors can be obtained by the formula Now, find the cross product…

Q: Let a = (10,-1,1) and b = (5,-3,-9) be vectors. How do I find what the image is asking for?

A: (A) ⇒Projb→a→=a→·b→a→⇒Projb→a→=(10, -1, 1)·(5, -3,…

Q: 1. Find the resultant of the vectors A and B. A = 8a, + 7a, + 2a, В - - За, — 8а, - ба, Draw the…

A: Given that: A→=8ax+7ay+2azB→=-3ax-8ay-6az

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: We say that two vectors are equivalent .if they have the same components

A: Ginen statement, Two vectors are equivalent if  they have same component.

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 anti-parallel to the vector (1,2,0,3).

A: A vector is a quantity that has both magnitude, as well as direction. A vector that has a magnitude…

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

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

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Q: Find four different nonzero vectors that are orthogonal to v = (-1,5,2)

A: This is a simple problem based on orthogonal vector which could be solved by using basic knowledge…

Q: Find two unit vectors orthogonal to a = (1, 1, 1) and b = (-4,0, 1) %3D Enter your answer so that…

A: Given,           a=&lt;1,1,1&gt; and b=&lt;-4,0,1&gt;

Q: 2) Subtract the (2) vectors; (4, 6) & (-8, -10)

A: The given vectors are 4, 6 and -8, -10 We need to subtract the given vectors.

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 two unit vectors orthogonal to both (3,2,1) and (–1,1,0).

A: The vectors 3,2,1 and -1,1,0

Q: 9. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4].

A: Given a=i+2j-3k b=2i-j+4k Aim : to find unit vector perpendicular to a and b

Q: Find two vectors that are orthogonal to ⟨0, 1, 1⟩ and to each other.

A: Vector: Let the two vectors are v and w. We have to find the two vectors which are orthogonal to…

Q: Find two unit vectors orthogonal to both (5, 8, 1) and (-1, 1, 0). (smaller i-value) (larger…

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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: Find two unit vectors orthogonal to a=⟨1,−1,−2⟩a=⟨1,−1,−2⟩ and b=⟨2,0,−2⟩b=⟨2,0,−2⟩.

A: Given vectors are

Q: Find two unit vectors orthogonal to a = (4,-5, 3) and b = (-4,0, –3) Enter your answer so that the…

A: The given vectors are  a=4,-5,3b=-4,0,-3

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

A: We can find the unit vector as below.

Q: Express à = (3, 1, – 1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

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

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

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Q: Find two unit vectors orthogonal to both (6, 9, 1) and (-1, 1, 0). (vector with the smaller…

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Q: Express the vector (2, –5, 3) in R³ as a lincar combination of the vectors (1.-3, 2), (2, –4, -1)…

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Q: Find the angle between the vectors (-8, –7) and (-6, 4). Carry your intermediate computations to at…

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Q: Find two unit vectors orthogonal to both (2, 3, 1) and (-1, 1, 0).

A: Unit Vectors orthogonal to vectors  &lt;2,3,1&gt; and &lt;-1,1,0&gt;…

Q: Find the sum of the vectors (3,0,1) and (0,8, 0) and illustrate geometrically.

A: Solved below

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

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Q: find two unit vectors orthogonal to (5,-5,3) and (-3,5,2)

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Q: Find two unit vectors orthogonal to a=⟨5,2,4⟩ and b=⟨5,0,4⟩ Answer so that the first vector has a…

A: We need to find a vector c→ , such thatc→ ⊥ a→ and c→ ⊥ b→ie,c→.a→ = 0  and c→.b→ = 0given,a→ = 5 i…

Q: Find a vector which is orthogonal to the vectors ū = (2, –2, 1) and ū = (4, 3, – 1).

A: Explanation of the answer is as follows

Q: Find two vectors V1 and V2 whose sum is ⟨2,−5,3⟩, where V1 is parallel to ⟨4,4,0⟩ while V2 is…

A: Parallel vector will be multiple of each other  Perpendicular vector has dot products zero

Q: By finding the dot product for each pair of vectors determine if they are perpendicular: (1,2) and…

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Q: find two unit vectors orthogonal to (-1,-1,5) and (-5,-,3,3)

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

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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