Version 2.1 Collection of 12 DHS DHS Ryabushko

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Uploaded: 11.04.2018
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Description

DHS - 2.1
№ 1.12. Given a vector a = α · m + β · n; b = γ · m + δ · n; | M | = k; | N | = ℓ; (M; n) = φ;
Find: a) (λ · a + μ · b) · (ν · a + τ · b); b) projection (ν · a + τ · b) to b; a) cos (a + τ · b).
Given: α = -2; β = -4; γ = 3; δ = 6; k = 3; ℓ = 2; φ = 7π / 3; λ = -1/2; μ = 3; ν = 1; τ = 2.
№ 2.12. From the coordinates of points A; B and C for the indicated vectors to find: a) the magnitude of a;
b) the scalar product of a and b; c) the projection of c-vector d; g) coordinates
Points M; dividing the interval ℓ against α :.
Given: A (-2, -3, -2); The (1, 4, 2); C (1, -3; 3); .......
№ 3.12. Prove that the vector a; b; c and form a basis to find the coordinates of the vector d in this basis.
Given: a (3, 1, 3); b (-2; 4; 1); c (1, -2; 5); d (1; 12; -20).

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