Option 3 2.1 Collection DHS DHS Ryabushko

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Uploaded: 20.11.2011
Content: r2_1v03.rar (46,78 kB)
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Description

DHS - 2.1
№ 1.3. 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 = 5; β = -2; γ = -3; δ = -1; k = 4; ℓ = 5; φ = 4π / 3; λ = 2; μ = 3; ν = -1; τ = 5.
№ 2.3. 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, -2, 4), B (1, 3, -2); C (1, 4, 2); .......
№ 3.3. Prove that the vector a; b; c and form a basis to find the coordinates of the vector d in this basis.
Given: a (- 1, 1, 2); b (2, -3, -5); c (-6; 3; 1); d (28; -19; -7).

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