Let ||u|| = 2, ||v|| = 3, (u, v) = 2+i. Compute ||u+v||², ||u-v||², (u + v,u - iv), (u + 3iv, 4iu).

Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (3, 11), v = (-4, 3) (a) u: V (b) u. u (c)…

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Q: Let u = 4i + 5j, v = -4i +2j, and w = 3i - j. Determine the i, j form of each of the following: (a)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: u= , v=  , w= t is a real number find t so that u,v and w are coplanar

A: Since u, v and w are coplanar, so their scalar triple product is zero, that is  w.[uxv]=0 u x v:…

Q: Let u = (1, 2, 3), v = (4, 4, –2), and w = (6, 5, -5). Find z, where 2u + v - w + 3z = 0.

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Q: Let P = (0,0, 0), Q = (1, –1, –2), R = (2,1, 1). Find the area of the triangle PQR. area = Let T =…

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Q: Let u = (3, 5, -7) and v = (6, -5, 1). Evaluate u + v and 3u - v.

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Q: Compute (u v Ղա • Ա. . — u = (i, 7,6), v = (2, -7i, 1+i), w = (7-i, 7i, 3 + 6i) u · v) ա • Ա —

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Q: Find u, u = (-1, 4), v = (4, 5) (a) ||u|| v, uv, and d(u, v). (b) ||v|| (c) (d) U V d(u, v)

A: The given vectors u=-1, 4, v=4, 5. We have to find the values of u, v, u.v, du, v.

Q: Let u = , v = , and w = . find uw

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Q: Find u · (v × w). u = v = w =

A: Answer is 0

Q: Let u = (3, 5, -1) and v = (2,2, 3). Find 3u + 7v (i t 3u + 7v. Mi ).

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Q: Find u × v and show that it is orthogonal to both u and v. u = v =

A: Given u→=-1,0,7v→=8,-4,0

Q: Find u · v, u· u, ||v ||, (u · v)v, and u · (3v). u = (2, 11), v = (-5, 2) (a) u. v (b) u u (c) (d)…

A: Given u=<2,11>and v=<-5,2> This implies that u=2i+11j and v=-5i+2j We know that if…

Q: Find each vector sum u + v. a. u = (1, 4), v = (2, −2) b. u = (3, −2), v = (−3, 2) c. u = (2, 1), v…

A: a). b).

Q: (b) Let v₁ = (-2, 1,5), v₂ = (0, 1,4), V3 = (-2,4, 17). What is span(V1, V2, V3)? Could it be all of…

A: Given vectors are v1=(-2,2,5), v2=(0,1,4),v3=(-2,4,17) we have to find span(v1,v2,v3)

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: If |ū| = 4, |v|=5, |ū-v=6, determine |ū+ v.

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Q: Let u = (1, 2, 3), v = (4, 4, -2), and w = (6, -1, -2). Find z, where 2u + v – w + 3z = 0. z =

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Q: Understand Properties of the Cross Product Given u x = (-4,-3, 4), find (u - 5v) × (ū+3v).

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Q: Find u (v x W). u = (3,3,3) (5,9, 0) V = w = (0, 0, 3)

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Q: Let u = (2, 0), v = (-2, -4), and w = (-4, 1). Find the vector æ that satisfies 4u – v+ x = 9x + w.…

A: Solution:-

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

A: Addition and subtraction of two vectors: Add or subtract the necessary components to add or subtract…

Q: Pretend u x v = (0, 3, 2). What is (6u + 3v) × u? A) (0, 18, 12) B) (0,0, 0) C) (0, –9, –6) D) (0,…

A: To find the value of the given cross vector.

Q: Let A and B be vectors in R" and let c be a real number. Then (1) ||A|| 2 0, and || A|| = 0 if and…

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Q: и3 (0, 2, -6, о), v %3D (-3, 5, 1, 0) V =

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