Let à = (1, − 1, — 5) and 6 = ( – 5,0,− 1). Find the projection of b onto a. proj¡ b = >

Q: Q2. Use a scalar product the check whether the points A (0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2,…

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Q: construct vw so that v= 2ab?

A: Here VW  and AB are line segments . To construct VW ,so that VW=2AB

Q: Let D4 = {1, a, a², a³, b, ab, a²b, a³b} and X = {1, a, a²,a³}. Find i. Centralizer ofX. ii. Center…

A: Step:-1 Centralizer (C):- The centralizer of a set say S of a group say G,  is a subgroup of group G…

Q: Determine whether the following transformation from R3 to R² is linear.

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Q: Let a = (5, 4) and b = (5, – 8). Compute the dot product. a b

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Q: (2 -2 6 0. 1 0. -1 1)0 ; 2)|1 -1 ; 3) 1 1 -1 2 -2 -3, -1 0. 1 -2 1 ;5) 1/4 0 5/4 0 4) -1 1 Consider…

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Q: Imagine a triangle △ABC where A(−53,−60,−49), B(−102,−98,−107), and C(3,6,5) is in 3D space. A point…

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Q: Find the Jacobian of the transformation = 2u+7v, y u² - 5v. =

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Q: Let à = (6, 6) and 6 = (-4, 7). Compute the dot product. ā.b=

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Q: Let à = (-1, -2,-5) and 7 = (3,−1, –5). Find the projection of onto a. proja b =< Question Help:…

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Q: Find the Jacobian of the transformation a = u² + 5v², y = 7uv

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Q: Let à = (-4,5, 2) and 6 = (-5,-1,-3). Find the projection of b onto a. proja b=<

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Q: Find [[ (5x + 3y)dA where R is the parallelogram with vertices (0,0), (-1,-4), (-2,1), and (-3,-3).…

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