Find the distance between m [-2, 3, 2,0,3, – 13, –5] and n = [4, –1,1, –5, 0, 11, –3].

Q: f = {(-9, – 2), (-8, 5), (-6, 1), (- 3, 7), (–1, – 2),(0, – 10)} and g = {(-7,7), (-6, 6), (-5, 5),…

A: Given that, f = {(-9, -2), (-8, 5), (-6, 1), (-3, 7), (-1, -2), (0, -10)} g = {(-7, 7), (-6, 6),…

Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

A:

Q: Let i = (2, –1, 5) and ū = (5, –7,3). Find 37 – 5ū. %3D - А. (-19, —32, 0) В. (-19, 32, 0) С. (19,…

A:

Q: Let ā = (2, 3, – 2) and b = (4, 2, – 2). - Find a · 6.

A: The dot product of two vectors is calculated as follows: a→·b→=xi^+yj^+zk^·ai^+bj^+ck^=ax+by+cz

Q: Find the rank of A = ( 1   -1   2   3)                                       2  6  -8   1…

A: Rank of Matrix : It is the Number of Non Zero rows in reduced row echelon form.

Q: let u=(1,2,8,-7) and v=(-7,8,1,-1) Select one: a. -10 b. 10

A: u = (1,2,8,-7) v = (-7,8,1,-1)

Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

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Q: Find a and b such that a = 9 = 0 - a -1 +6 10 6

A:

Q: -3x+9y+6z = 18 -2.x – 3y + 2z = -8 4.r + 6y-4z = 68

A: To solve for x, y, z.

Q: Find the values of c1, c2, and c3 so that c1 (4, –6, 2) + c2(-4, 3, 0) + c3 (-2,0, 0) = (-4, –3,…

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Q: Solve the system of equations x + y – z = 1, y+ z= 5, x – y = 0 . -

A: Use substitution method to solve for x,y,z

Q: Find the product between (432), and (43), 5

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Q: Simplify. (4y²– 2y-3)+(3y²–5y-4)-(8)²-4y-8)

A: Given :

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). – 2,0). - - 2u + 20

A: Given:-u→=<3, -4, -10> andv→=<-7, -2,  0>

Q: .2 y = 4 - x² and x +y = 2.

A:

Q: Solve the following system of equations by Crout's Method 2х — 4y + z %3 4, бх + 2у — z % 10, -2x +…

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Q: Find the solution of the system of linear equation and the value of the determinant of its…

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Q: Let v = (2, -1, 5) and u = (5, -7,3). Find 37 - 5u

A: We have to find 3v - 5u

Q: Let ā (3, 5, - 4) and 6 = (1, 4, 3). (à − b ) × ( ã + b) =

A:

Q: (2, –1, 3) and b (-3, 3, 4). Calculate 2a – 3b and |a – b|. Clearly separate the Let a calculations.

A:

Q: Let U = R, A =[-6, 3), B = (-1,5), and D = [-7, 1]. Find (i) AN Bº (ii) (BUD)e

A: We use De' Morgan's law and union, intersection and complement of set to answer the given question.

Q: (2, 16). 寸

A: Given,      The graph is shown below:

Q: Let å = (2,0, – 3) and b = (0, 1, 5). Find b x a.

A: Given query is to find indicated vector.

Q: Let Ā = (2, 5, 3) and B = (-1,2, 1). Find Ã × B. %3D А. i + 53 – 9k В. -7 - 53+ 9k С. 117 - 3 -k D.…

A:

Q: Given B = v1 {(0, 1, 1, 1)} , v2 = {2, 1, –1, –1} , v3 {(1,4, –1,2)} , v4{(6,9,4, 2) B' = wi {(0,8,…

A:

Q: . Given A(- 3, 5), B(0. – 4), C(2, 5), and D(- 6, – 1), find the intersection point of AB and CD.…

A: The given points are, A-3,5B0,-4C2,5D-6,-1 Using two points slope form, the equation of the line is…

Q: Let a = and b= (-3, –6). Find a + b, 2a + 3b, |a |, and | a - b |.- (5, – 12)

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Q: Let ā = (5, 1, −1) and ỗ = (2, 1, 4). Find a. b.

A: