Version 2.1 Collection of 13 DHS DHS Ryabushko

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Uploaded: 10.01.2012
Content: r2_1v13.rar (46,29 kB)
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DHS - 2.1
№ 1.13. 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 = 4; β = 3; γ = -1; δ = 2; k = 4; ℓ = 5; φ = 3π / 2; λ = 2; μ = - 3; ν = 1; τ = 2.
№ 2.13. 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 (5; 6; 1); The (-5, 2, 6); C (3, -3; 3); .......
№ 3.13. Prove that the vector a; b; c and form a basis to find the coordinates of the vector d in this basis.
Given: a (6, 1, 3); b (2, -4, 1); c (-1; -3; 4); d (15, 6, -17).

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