Find the Euclidean inner product u . v. u = (4 + 3i, 1 + i) v = (-8i, 12i) ||

Q: (-2,3,1,0,2). Find scalars a and b so that аи + bv 3 Let u = (2,1,0,1, –1) and v = (-8,8, 3, – 1,7).

A: u=2, 1, 0, 1, -1  &  v=-2, 3, 1, 0, 2

Q: F(x, y, z) = (z sint z sin(ar), e²y-2 X b+y

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Q: ||ī|| = Find the length of the vector = 2 -2 Enter `sqrt(a)' for √Va

A: In this question we will find the Length of the vector.

Q: Calculate the dot product, of u and v, where u = 58 î - 75 ĵ + 12 k and 34 Î – 73 ĵ - 97 k. = u.v=

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Q: Compute the dot product u - V. 6 1) u = 2) u = 5, V = 3 -18] 0, V= -9 25 2 -5 2 1

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Q: 1 cartesian form of (9-3j)³ is 2.1047-j0.2266

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Q: Find the dot product v. 0. v = 7i+ 9j, O -54 O 138 O 84 No new data

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Q: 4. Consider the vectors u,v and w are defined, u = 3i-j+4k, v = 4i – 2j +6k and w= 5i+2k (a) Express…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: compute the dot product. (3, −2, 2) · (1, 0, 1)

A: The dot product of three dimensional vectors can be calculated by using the component formula for…

Q: Find the angle between u and v, also find the scalar component of u in the direction of v and the…

A: In this question we have to find following given parts in the question.

Q: Given ri = 3i - ej +In2 k, r2 = 5i + 7 e'j - 4 k and r3= 7i-7j+ k. Find the unit vector of (a)…

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Q: Find the triple scalar product (u x v) w of u= 4i+ 2j- j, v=8i +5j- 4 k w= 5 i + 10 j - 9 k 102 29…

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Q: What is the Cartesian product of A = {1, 2} and B = {a,b,c}?

A: Given A = 1, 2   and   B = a, b, c

Q: Compute the dot product ⟨4,5,8⟩⋅⟨1,6,3

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Q: The vector F = -ar + 2a expressed in RCS and in terms of is O None of the choices O - = (−cos0sind…

A: We can solve this using spherical co-ordinate matrix

Q: Use properties of the cross product to find the area of the parallelogra nerated by the two vectors…

A: Recall: Area of the parallelogram form by two vector a and b is a×b

Q: Compute the orthogonal projection of u onto v. Use the square root symbol '' where needed to give an…

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Q: (2.) Let V be the vector space of M1x2(C) over R. (a.) Give a basis for V. (b.) Let W = { { 1] z €R.…

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Q: (1. i, 1) and V3 (1+i, 1,-1- 2i) to belong to the same orthonorma It is possible for the complex…

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Q: Consider the points on the vertices of a triangle given by A: (0,0,0), B: (1,2,3), and C: (0,3,0).…

A: (a) Use the scalar product (dot product) to find the angle at vertex A in triangle ABC.The vertices…

Q: Let a and b be vectors in R?. (a.) Derive the area(2b + 5a, b – 2a) in terms of area(a, b). Explain…

A: Given: a,b∈ℝ2 If a=a1,a2 and b=b1,b2 then areaa,b=a1b2-a2b1. To do: Express the area2b+5a,b-2a in…

Q: cos 0, i + sin 01j and u2 = cos 02 i + sin 02j where i, j are the Cartesian unit vectors. Find the…

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Q: Use the dot product to determine whether v = 5i - 5j and w = i - j are orthogonal.

A: Orthogonal vectors: Two vectors are orthogonal if there dot product is zero.

Q: 2i -1+iy -2 + i) are linearly independent over C ? -1+ 3i)

A: If rank is less than 2 we will get a matrix which is linearly dependent.