For the pair of vectors, find U + V, U - v, and 2U – 3V. U = (-3, 0), V = (0, 2) U + V = U - V = 20 - 3V =

Q: For the pair of vectors, find U + V, U - v, and 2U – 4V. U = (5, 1), V = (-6, 3) U + V = U - V = 20…

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Q: Given vectors v = (3, -1) and w = 1 (-4, 6), find 2v - 2W {8, -5) (4, -5) (-5, 4) (-8, 5) (-8, -5)

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

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

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Q: For any vectors U and V, show that |U x V]? + |U• V]? = |U°|V[?

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Q: For the pair of vectors, find 4U+3V. U= - 4i+4j, V = 4i+4j 40j O -4i+28j O 4i+28j O - 28i+4j -…

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Q: Find the vector equation of the line that passes through (1,0,-3) and it's parallel to v=2i - 4j +…

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Q: find the component form of the vector. The sum of AB and CD, where A = (1, -1), B = (2, 0), C = (-1,…

A: Given that A = (1, -1), B = (2, 0), C = (-1, 3), and D = (-2, 2)We have to find AB + CD.

Q: For the pair of vectors find 2U-3V

A: U=6, 6V=6, -62U=26, 6      =2×6, 2×6      =12, 12

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

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Q: For the pair of vectors, find U + V, U − V, and 2U − 3V U = 9, 5, V = 9, −5 U+V= U-V= 2U-3V=

A: We know that for two vectors a→=a1,a2 and b→=b1,b2, a→+b→=a1+b1,a2+b2         ⋯⋯1a→-b→=a1-b1,a2-b2…

Q: For what values of c are the vectors [-8, c, 4] and [c, c²,c] orthogonal?

A: For orthogonal,dot product of vectors is equal to zero.

Q: Find 3u, -4v, u + v, and 4u – 5v for the given vectors u and w u = i + j, v =i -j 3u = %3D -4v = u +…

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Q: Two vectors (M = 4ax-bay) and (N = 6ax-2ay-Saz), find the vector perpendicular to these vectors?

A: Given Vectors are                                                 M=4ax-6ayN=6ax-2ay-5az vector…

Q: For the pair of vectors, find U + V, U – V, and 4U + 3V. U = 2i + 7j, V = 7i + 2j U + V = U - V = 4U…

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Q: For the pair of vectors, find U + V, U – V, and 4U + 2V. U = -5i + 6j, V = 5i + 6j

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Q: GIven vectors =(-5,9) and v = (-1, 1), find u v. %3D

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Q: nd the vector that has the same direction as <3, -1, 4) but has length 52.

A: First find unit vector of direction then multiply with given magnitude

Q: B) find a vector that is parallel to the line whose equation is : 4-x 3-6z % = 3 – 3y = 5 9

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Q: For the vector, find 2 -V, and 4V. V = 2i + 8j Your answ -v =-2i – 4j 4V = = 8i + 32j II

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Q: Solve for the vector x in terms of the vectors a and b. x - a = 2(x - 2a)

A: Given: x-a=2x-2a

Q: For the vector, find V, -V, and 4V. 2 v = (-5, 7) 4V=

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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: For the pair of vectors, find U + V, U – V, and 2U – 4V. = (5, 9), V = (5, -9) U + V = U - V = 20 -…

A: Let's look at the rules of operations of vectors:

Q: Given v=[2,-9] and w = [7,-8], what is 2w-v written as a linear combination of unit vectors?  please…

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Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). Adding the vectors, find 2AB+3AC.

A: To find 2AB +3 AC

Q: For Exercises 20–25, perform the indicated operations on the following vectors: ā - 27 +k, i --37 +…

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Q: Consider the vectors V1, V2, V3, and b. V1 4 V2 = 5, V3 6 ,b = 7

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Q: Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible.…

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: 10,7 and -2,-75

Q: For the pair of vectors, find U + V, U – V, and 3U – 4V. U = (3, 1), V = (-6, 2) U + V = U - v = 3U…

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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: Solve for the vector x in terms of the vectors a and b. x + 2a - b = 3(x + a) - 2(2a - b)

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Q: For the vectors, u=−1,0,5 and v=1,4,−4, calculate projvu and scalvu.

A: Vector projection

Q: For the pair of vectors, find U + V, U − V, and 2U − 3V. U = −9, 0, V = 0, 5

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

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Q: For the pair of vectors, find U + V, U − V, and 2U − 3V. U = 2, 3 V =2, −3   U + V  =        U − V…

A: Here we have, U = &lt;2,3&gt;.     V = &lt;2,-3&gt; U+V = &lt;2,3&gt; + &lt;2,-3&gt;         =…

Q: -6 --5 Let z = and y . Find the vectors v = 47, ủ =i + ÿ, and w = 47 + y. w = || ||

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Q: For the pair of vectors, find U+V, U-V, and 4U-2V. U = -9i+4j, V = 9i+4j U+V = ? U-V = ? 4U+2V =…

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Q: For the vector r (3, - 1), what is -4r? The vector - 4r = ( ).

A: Given :   Vector r =  ⟨3, -1⟩  To find : -4r ?

Q: For this question, define the vectors v and w .

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Q: For the pair of vectors, find U + V, U - v, and 4U + 2V. U = -6i + 6j, V = 6i + 6j U + V = U - V =…

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Q: For the given vectors a and b, find the cross product a × b. a = (1, 0, -3), b =(3, 4, 0) axb=

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Q: For the pair of vectors, find U+V, U-V, and 2U-3V. U = , V = U+V = ? U-V = ? 2U-3V = ?

A: givenU=&lt;-3,0&gt;U=-3iV=&lt;0,2&gt;V=2jU+V=-3i+2jU+V=&lt;-3,2&gt;U-V=-3i-2jU-V=&lt;-3,-2&gt;

Q: For the pair of vectors, find U + V, U – v, and 3U – 4V. U = (5, 2), V = (5, -2) %3D U + V = U - v =…

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