Let u = <-1,1>, v = <-3,4>, and w = <0,-2>.   Find u + v - 3w

Q: Let u = (7 - 2i, 2 + 5i). and v = (1 + i, -3 - 6i). Find c. u•v d. lull. and Ilv|I. e. (3-1) v

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Q: Let u ,v eR* such that F= 2, F]=3 and ūlv. Then (-27 + 35 ) • (v –ū)=

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Q: Find ||u||, |v||, and ||u + v||. u = (-1, 1, -2, 0), v = (4, 1, 0, 1) (a) ||u|| (b) ||v|| (c) ||u +…

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Q: Write v as a linear combination of u,, u,, and u,, if possible. (Enter your answer in terms of u,,…

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Q: Given t x — (— 2, — 3, — 1), find (i — 21) х (й + 31). V

A: we will use the definition of the cross product of two vectors and and the following properties…

Q: Let u = (-1,3)and v = (1, -1), then proj,yu is:

A: Given, u=(-1, 3), and v=(1, -1),   then, projvu =

Q: Write v as a linear combination of u1, u2, and u3, if possible.v = (0, 5, 3, 0), u1 = (1, 1, 2, 2),…

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Q: Find w such that 2u + v- 3w = 0. %3D u = (0, 5, 7, 2), v = (-3, 4, -8, 1) W =

A: vector

Q: Find u x v, v x u, and v x v. u = (5, 6, -4) v = (-6, -9, –8) (a) ux v (b) v xu (c) v x v

A: We can make it easier for you

Q: Let u= (1,1,−2) and v= (a,−1,2). For what values of a are u and v orthogonal?

A: Two vectors are said to be orthogonal to each other if their dot product is zero. we are given u=…

Q: Write v as a linear combination of u, u2, and u3, possible. (If not possible, enter IMPOSSIBLE.) =…

A: We will find out the required value.

Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

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Q: Write v as a linear combination of u,, u2, and uz, if possible. (Enter your answer in terms of u,,…

A: the given vectors v=-1, 7, 2, u1=2,1,5, u2=3,-1,5, u3=-2,1,-3

Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, −2, 2, 0), v = (2, −1, 0, 2)

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Q: Write v as a linear combination of u1, u2, and u3, if possible. (If not possible, enter IMPOSSIBLE.)…

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Q: Let u = (7 - 21, 2 + 5i). and v = (1 + i, -3 - 6i). Find a. u+ V b. 2iu c. u•v d. lull. and Ilv|I.…

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Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (−1, 2), v = (2, 3)

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Q: Find (a) u + v, (b) 2v, (c) u − v, and (d) 3u − 2v. u = (1, −2, −3), v = (3, 1, 0)

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Q: Write v as a linear combination of u1, U2, and u3, if possible. (If not possible, enter IMPOSSIBLE.)…

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Q: let V be the Euclidean space R3 with the standard inner product.

A: Given:          u = 11-2  and  v = a-12 To find :             The values of a, for which u and v…

Q: Let u = (1, 2, 3), v = (2, 2, −1), and w = (4, 0, −4).Find z, where 3u − 4z = w.

A: u = (1, 2, 3)3u = (3×1, 3×2 , 3×3)3u = (3, 6, 9)v = (2, 2, -1)w = (4,0,-4)

Q: let u=(8,0,-8) v=(8,3,16) find d(u,v)

A: The given points are: u=(8, 0, -8)        and          v=(8, 3, 16)

Q: Find |lu||. ||v ||, and ||u + v |. u = (2, 0, -2, -1), v = (3, 1, 0, 1) (a) ||u|| (b) ||비 (c) |lu +…

A: Norm of the vectors

Q: Write v as a linear combination of u,, u2, and uz, if possible. (If not possible, enter IMPOSSIBLE.)…

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Q: Find u · v, u· u, ||v||², (u · v)v, and u (3v). u = (2, 10), v = (-3, 2) %3D (a) U V (b) U U (c)…

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Q: Find u x v, v x u, and v x v.

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Q: Find u - v, 2(u + 3v), and 2v - u. = (6, 0, -4, 8), v = (0, 2, 8, 6) %3D %3D (a) u - v = (b) 2(u +…

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Q: Find a and b such that v = au + bw, where u = v = (7,2) a = b || || = (1, 2) and w = (1, -1).

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Q: Find u · v, v · v, ||u||², (u · v)v, and u · (5v). u = (2, –3), v = (4, 3) (a) u• V (b) V • V (c)…

A: Given vectors, u = (2,-3) and v = (4,3) To find: u.v, v.v, ||u||2, (u.v)v, u.(5v) calculations are…

Q: Find ||u||, |v||, and ||u + v||. u (-1, 1, -2, 0), v = (4, 1, 0, 1) (a) ||u|| (b) ||v|| (c) ||u +…

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Q: Write v as a linear combination of u1, u2, and u3, if possible. v = (3, 0, −6), u1 = (1, −1, 2), u2…

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Q: Let u = , v = and w = . Now, i = is a linear combination of ü, v and w. That is, i = aju + azv +…

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Q: let u = &lt;1, 2, 2&gt; , v = &lt;1, -1, -1&gt;, w = &lt;1, 3, -1&gt; , and z = &lt;2, 11, 8&gt;.…

A: Given: u1 is parallel to u, u2 is parallel to v, and u3 is parallel to w.So, u1= au , u2=bv and…

Q: Find u+v given u= (0,5,4) and v=(3,-4,4). a) Ju+v|-59 Ju++ -/59 u+ v|=11 b) c) d)

A: Find norm of u+v

Q: Let u=(4,-2) ,v=(-2,2) Find component from 3u

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Q: Let u=&lt;-1,1&gt; v=&lt;-3,4&gt; and w=&lt;0,-2&gt; Find u-v+4w

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Q: Find ||u||, ||v||, and ||u + v||. (1, -2, 0, 2), v = (0, 3, 2, 1) u = (a) ||u|| (b) ||v|| (c) ||u +…

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…

Q: Write v as a linear combination of u1, u2, and u3, if possible.v = (−1, 7, 2), u1 = (1, 3, 5), u2 =…

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Q: Find a and b such that v-au bw, nhere u-(1, 2) and w- (1. -1) v - (4, 5)

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Q: Find u · v, u · u, || V||^2, ( u • u )v, and u • (3v). u= , v= (a) u•v   (b) u•u   (c) ||v||^2…

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Q: Find (a) u + v, (b) 2v, (c) u − v, and (d) 3u − 2v. u = (−1, 2, 1), v = (0, 1, 1)

A: Given  u = (-1,2,1) , v = (0,1,1)Find   (a) u+v      (b) 2v      (c) u-v      (d) 3u-2v

Q: Find u + v u = and v =

A: Find u + v u = &lt;6, 1&gt; and v = &lt;1, 7&gt;

Q: Let u1 = (4, -2, 1), u2 = (6,3,2) , u3 = (-2,-1,3) find the linear combination v= u1 - 3u2+ 4u3

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Q: Write v as a linear combination of u1, u2, and u3, if possible.v = (7, 2, 5, −3), u1 = (2, 1, 1, 2),…

A: If it is possible to write v as a linear combination of u1, u2, and u3, we must be able to find…

Q: Write v as a linear combination of u1, u2, and u3, if possible. 1. u1=(1,1,2,2), u2=(2,3,5,6),…

A: Given: v=0,5,3,0 , u1=1,1,2,2, u2=2,3,5,6 , u3=-3,1,-4,2 To determine: vas a linear combination of…

Q: Let u = (1, 2) and v = (-4, 2). (a) Find u - 3v. (b) Find |u + v[.

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Q: Write v as a linear combination of u,, u,2, and u,, if possible. (Enter your answer in terms of u,,…

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Q: write v as a linear combination of u1, u2, u3, if possible. v=(0,5,3,0), u1=(1,1,2,2),…

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