Determine whether the vectors u = (-3,9,6) and v = parallel, (4, –12, –8) are orthogonal, or neither.

Q: State whether the vectors are parallel, orthogonal, or neither. 5) v = 2i + j, w=i- 2j

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Write the vector u=<2,-3,1> in the form v+w, where v is a vector parallel to the vector…

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Q: photo attached

A: Given informationU=(4, 1),  V = (-7, 3)That is U= 4i+1j      V = -7i+3j

Q: Find a vector v such that ||v|| = 20 and v is in the same direction as 15i + 15j

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Q: Find two vectors in opposite directions that are orthogonal to the vector        u = −(1/4)i + (3/2)…

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Q: Decompose v into two vectors, v1 and V2, where v is parallel to w and v2 is orthogonal to w. v=i+j,…

A: A vector parallel to w can be obtained from the following formula, v1=v.ww2w and the other vector…

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: Find the vectors u + v, u-v, and 5u | u = i + j, v = -j – 2k %3D u + v = u - v = 5u

A: The given vectors are

Q: Express the vector t as a linear combination of the vectors u, v, and w. 1 - 2 4 t = 0 , u = 5 , v =…

A: We use the definition of the linear combination of vectors to answer the given question.

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

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Q: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

A: The parallel vector of a vector is the scalar multiple of the vector, and if scalar is positive then…

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: Use the given vectors to compute u + v, u-v, and 3u - 4v. u = (3, -7), v= (5, 9) u + v = u - v = 3u…

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Q: Find a unit vector (a) in the direction of v and (b) in the direction opposite of  v = ⟨2, −1, 2⟩

A: a) Given that v=2, -1, 2 So unit vector in the direction of v is  vv=2, -1, 2(2)2+(-1)2+(2)2=2, -1,…

Q: State whether the vectors are parallel, orthogonal, or neither. v - 2i + j. w =i - 2j • Parallel…

A: We have to find whether the vectors are parallel or orthogonal.   NOTE - As per Bartleby's policy we…

Q: determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: Part (a) Consider u1=0,2,4v1=3,1,0

Q: Determine whether the given vectors are perpendicular. = (0, –7), 3 (8, 0) y = O Yes O No

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Q: Find the vector z, given that u- (9, 2, 7), 2,-1), andw = 0,-4

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Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (9,3), v = (-2,6)…

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Q: Find the vector z, given that u = , v = , and w = . z = 8u - 3V - -W 2 1. Z =

A: We have been given the vectors  u = <1, 2, 3> v = <2, 2, -1> w = <4, 0, -4>

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: Determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: We know that angle between two vectors a1,b1,c1 and a2,b2,c2 is given as θ=cos-1a→·b→a→b→        ⋯⋯1…

Q: Show that if the vectors v, w are orthogonal, then ||v + w||^2 = ||v||^2 + ||w||^2.

A: Given: The vectors v, w are orthogonal, then ||v + w||^2 = ||v||^2 + ||w||^2.

Q: photo attached

A: Given,

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

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Q: determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: The dot product between two vectors v and u is given by                v·u=∥v∥∥u∥ cosθ where  0≤θ≤π…

Q: Find a non-zero vector & perpendicular to the vectors v = x = ► 3 H and u = 4

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Q: Determine the value(s) of ? such that the vectors [5, ?, −8 ] and [3, ?, ?] are perpendicular.

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Q: Determine whether the vectors v1=[1 2 1]^T , v2=[10 2]^T and v3=[5 6 7]^T are

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

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Q: determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: Two vectors are said to be orthogonal if their dot product is zero. Let, ai+bj+ck and xi+yj+zk be…

Q: For each pair of vectors Calculate proju and the vector component of u orthogonal to V. a7…

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

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Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (9, 3), v = (-2,…

A: The given two vectors are u=9, 3 and v=-2, 6 We have to determine whether the given two vectors are…

Q: Find three nonzero vectors a, b, and c such that a × b = a × c = 0but b = c.

A: Find nonzero vectors a, b ,c such that a×b=a×c=0 but b≠c. If two vectors are parallel then their…

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

A: Solution of the problem as follows

Q: Find the component form of the vector v given ||v|| 12 following the direction of u (3, –5) %3D

A: The vector v in direction of u can be found  blew step.

Q: Use the vectors u = (4, 4), v = (-7, 2), and w = (4, –1) to find the indicated quantity. (u · v) –…

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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: Determine whether the following vectors are parallel, perpendicular, or neither. (4,5), (3,4) The…

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Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (9,3), v = = (-2,…

A: We can check whether the two vectors are parallel, orthogonal or neither by definition as below.

Q: Find the position vector for the vector v, whose initial point is (0, −2) and terminal point is (5,…

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Q: determine if the following vectors are orthogonal, parallel, or neither. Find the measure of 0. u =…

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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: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. u- 31, v- 2i - 9j 2u - -3v - 3u - 4v…

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Q: Perform the following operations on the vectors (3, 2, −4), v = (-1, 5, −2), and = (0, 4, 2). ū = ū.…

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Q: Use the given vectors to compute u + v, u- v, and 3u - 5v. u = (2, -6), v = (4, 5) u + v = u - v =…

A: We will use the usual inner product for the compute the required vectors

Q: Use the given vectors to compute u + v, u – v, and 2u u = (4, -3), v = (7, 9) u + v = u - v = 2u -…

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Q: Determine if the vectors t= %3D(-16, 24) and s= (3, 2). are orthogonal, parallel, or neither.

A: We have to calculate dot product and magnitude of the given vectors

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

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