Version 2.1 Collection of 18 DHS DHS Ryabushko

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Uploaded: 14.11.2016
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Description

DHS - 2.1
№ 1.18. 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 = 7; β = -3; γ = 2; δ = 6; k = 3; ℓ = 4; φ = 5π / 3; λ = 3; μ = -1/2; ν = 2; τ = 1.
№ 2.18. 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, 4, 6); The (- 3, 5, 1); C (4 - 5 - 4);
№ 3.18. 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; 5; 4); b (-2; 7; -5); c (6, -2, 1); d (6 - 9; 22)

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