RAP IDZ 2.1 option 28

DHS - 2.1
№ 1.28. 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 = 6; β = - 7; γ = -1; δ = -3; k = 2; ℓ = 6; φ = 4π / 3; λ = 3; μ = -2; ν = 1; τ = 4.
№ 2.28. 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 (-3, -5 and 6); V (3; 5; 4); C (2; 6; 4); .......
№ 3.28. 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, -3, 1); b (-2; -4; 3); c (0, -2 and 3); d (-8; -10; 13).