Question

Determine the magnitude and direction of vector V2 such that V=2V1 + V2 acts along the positive z-axis having a magnitude of 20 from which vector V = 20i- 15j + 15k.​

Answer 1

Answer:

Explanation:

V₁ = <20, -15, 15>, V = <0, 0, 20>

V₂ = V - 2V₁ = <0, 0, 20> - <40, -30, 30> = <-40, 30, -10> = -40i + 30j - 10k

magnitude = $\sqrt{40^2+30^2+10^2}}=51$