Find two vectors in opposite directions that are orthogonal to the vector u. (the answers are not unique. Enter your answer as a comma-separated list of vectors.) u=<4,-2,9>

Q: Determine the dot products of the following pairs of vectors. (a) (3, 5), (3, -4) (b) (2, -5, 3),…

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Q: Determine whether or not the given two vectors are parallel.u =〈-3, 1, 4〉, v =〈6, -2, 8〉

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Q: True or false: Given two nonzero vectors v and w, v can be decomposed into two vectors, one parallel…

A: Given: Two nonzero vectors v and w, v can be decomposed into two vectors, one parallel to w and the…

Q: .

A: For part (a): According to the given information, it is required to calculate

Q: Find the sum of the given vectors. а - (4, 0, 1), ь - (0, 5, 0) a + b Illustrate geometrically. a +b…

A: Given  The vectors  are  a =(4 ,0 ,1)  and  b= ( 0 , 5 , 0)

Q: Use vectors u= (-4,1), v= (5,-2), and w= (0,6) to perform the indicated operation. Then determine…

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Q: Find the best approximation to z by vectors of the form c, v, + C2 V2- 3 3 1 - 5 1 - 2 V2 = 4 - 2 3…

A: To Find the best approximation to z by vectors of the form c1v1+c2v2.

Q: True or False If u and v are parallel vectors,then u x v=0.

A: We know that the angle between two parallel vectors is 0°.A Also, sin0°=0.

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: Find the sum of the vectors and illustrate the sum geometrically.u = (4, −2), v = (−2, −3)

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Q: Determine whether the following vectors are parallel, perpendicular, or neither. (4, – 2), (6,12)…

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Q: sketch the vectors AB and PÓ, and determine whether they are equivalent. А %3 (1,4), В %3 (-6, 3),…

A: Given points are: A=1,4 ; B=-6,3 ; P=1,4 ; Q=6,3 We have to determine whether the vectors AB→ and…

Q: Find the area of the parallelogram that had the given vectors as adjacent sides. Use a computer…

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Q: Determine if the vector 2 b -A = 3 5 can be written as a linear combination of the vectors ---- 1…

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Q: Find the components of the vector PP2. P1(4, 5, 5), P2( 7, 10, 7) PP2 =( i

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Q: Express the vector in the form v = V¡i + v2j + v3k. P2 if P1 is the point (4, -5, 6) and P2 is the…

A: Given :                      P1 4,-5,6 and P2 6,-8,2

Q: -1 Let a = -1 and b = 1 be two vectors. What is a2b2-la b2?

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Q: determine nonzero vectors that are orthogonal to the following vector (b).  (1, -2, 3) c. (5, 1, -1)

A: Let the vectors be- u→=xi^+yj^+zk^v→=i^-2j^+3k^ For the vectors to be orthogonal-…

Q: b. Determine which of list of vectors The following Dinearly independent. Juihfy your. are awnser-…

A: From given vectors it is clear that

Q: Write w = (3, -1,1) as a sum of two vectors, one parallel to v = (2,1,2) and the other perpendicular…

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Q: True or false: Given two nonzero vectors v and w, v can be decomposed into two vectors, one parallel…

A: Given that : The statement : Given two nonzero vectors v and w, v can be decomposed into two…

Q: Find the unit vector in the direction of the given vector and express it using standard unit…

A: The given vector is a=4,-3,6.

Q: Determine the dot products of the following pairs of vectors. (a) (2, 4), (3, -4) (b) (3, –2, 5),…

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Q: Find the angle θ between the vectors.u = (1, 1, 1), v = (2, −2, 2), ⟨u, v⟩ = u1v1 + 2u2v2 + u3v3

A: u = (1, 1, 1), v = (2, −2, 2), ⟨u, v⟩ = u1v1 + 2u2v2 + u3v3 We need to find the angle θ between the…

Q: Find all values of b for which the vectors (2, -4, 5) and (b2, b, 0) are orthogonal. (Enter your…

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Q: Find the sum of the vectors and illustrate the sum geometrically.u = (2, −3), v = (−3, −1)

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Q: Use the vectors u = (4, 6) and v = (-6, 4) to find the indicated quantity. 3u · v 3u · v = State…

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Q: Find the sum of the given vectors. а - (5, -1), ь - (-1, 8) a +b = 4,7 Illustrate geometrically. y

A: We have

Q: Determine whether or not the given two vectors are parallel.u =〈4, 2, -6〉, v =〈2, -1, 3〉

A: To determine whether or not the given two vectors are parallel.u=4,2,-6 and v=2,-1,3 By definition,…

Q: 2) Let ā = (),: = ), c = (_ be 3 vectors. a) Write 2b – č as a column vector. b) Saif says that the…

A: we have given three vectors . We have to write the following

Q: For the pair of vectors U = , V = , find U + V, U - V, and 4U - 3V. U + V = U - V = 4U - 3V =

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Q: Find three different vectors that are in the span of the given vectors. 9- 7 U2 = 4 -2 6. 2

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Q: Show that the vectors are parallel, and determine whether they have the same direction or opposite…

A: Given: a=&lt;a1, a2&gt;=&lt;6, 18&gt;b=&lt;b1, b2&gt;=&lt;-4, -12&gt;

Q: Find the length of the vector. v - (9, 12)

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Q: write the given vector in terms of I and J. u={-8, 10} u=???

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Q: Determine whether or not the two vectors u = (-2, –4,9) and v = (-4, –7, 18) are parallel. The…

A: Given query is to find vectors are parallel or not.

Q: Find a unit vector that has the same direction as the given vector. (-8, 8, 4)

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Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (4, 5,-2), v =…

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Q: () Let a = -2 and b= 1 be two vectors. What is |a|2|b|? - |a - b|² ?

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Q: Use the vectors  u =  3, 4  , v =   −4, 1  , and w =   3, −1    to find the indicated quantity. (v…

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Q: If vector a= and vector b= .. are vectors a and b orthogonal, parallel, or neither? Provide…

A: Topic = Vector   2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot…

Q: u

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Q: Determine whether the following three vectors lie on the same line in R?: и, 3 (4,6,8), и, %3 (2,3,…

A: The given vectors lie on the same line. u2=2,3,4u1=4,6,8=2×2,2×3,2×4=2×2,3,4=2u2So, u1=2u2Thus,…

Q: Determine whether the following vectors are parallel, perpendicular, or neither. (7,2), (3,2) The…

A: Given:     Let u=7,2 , v=3,2       Compute the dot product       u¯·v¯= 73+22       u¯·v¯=21+4…

Q: Determine the dot product of the vectors а 3 (-3,—2, 3), b %3D (2,1,-2). b = (2,1,–2). a = 1. а:b —…

A: Solve for dot product

Q: Let a. b, and c be three-dimensional vectors. Identify whether the expression a- (b x c) will result…

A: We can solve this as follows:

Q: ä = 27 + 6j – 4K, b = -3ï – 9j + 6K

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Q: Determine whether the given vectors are perpendicular. u = (-3, 7), v = (2, 3) %3= CYes No

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