IDZ 2.1 - Option 17. Decisions Ryabushko AP

IDZ 2.1 - Option 17. Decisions Ryabushko AP

1. Given the vectors a = αm + βn and b = γm + δn, where | m | = k; | n | = l; (m, ^ n) = φ.
  Find a) (λa + μb) ∙ (νa + τb); b) PRV (νa + τb); a) cos (a, ^ τb)
  1.17 α = 5, β = -2, γ = 3, δ = 4, k = 2, l = 5, φ = π / 2, λ = 2, μ = 3, ν = 1, τ = -2

  2. The coordinates of points A, B and C for the indicated vectors to find: a) a unit vector; b) the inner product of vectors a and b; c) the projection of c-vector d; z) coordinates of the point M, dividing the segment l against α: β
  2.17 A (4, 5, 3), B (-4, 2, 3), C (5, -6, -2) a = 9AB - 4BC, b = c = AC, d = AB, l = BC, α = 5, β = 1

  3. Prove that the vectors a, b, c form a basis, and to find the coordinates of the vector d in this basis.
  3.17 a (7, 2, 1); b (5, 1, -2); c (-3, 4, 5); d (26, 11, 1)

Additional information:

Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.

Discount for regular customers! If the total of your purchases from the seller Massimo86 exceeds:

• $30 discount 10%
• $20 discount 7%
• $18 discount 6%
• $15 discount 5%
• $12 discount 4%
• $9 discount 3%
• $6 discount 2%
• $3 discount 1%