If a line makes an angle of π/4 with the positive directions of each x and y-axis, then the angle the line makes with the positive z-axis is: A. π/4 B. π/3 C. π/2 D. π/6 Answer: C) π/2 Explanation: cos²(π/4) + cos²(π/4) + cos²γ = 1. (1/2) + (1/2) + cos²γ = 1 → 1 + cos²γ = 1 → cos²γ = 0 → γ = π/2.

imo class 12 three dimensional geometry

If a line makes an angle of π/4 with the positive directions of each x and y-axis, then the angle the line makes with the positive z-axis is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If a line makes an angle of π/4 with the positive directions of each x and y-axis, then the angle the line makes with the positive z-axis is:

Answer: C) π/2

Explanation: cos²(π/4) + cos²(π/4) + cos²γ = 1. (1/2) + (1/2) + cos²γ = 1 → 1 + cos²γ = 1 → cos²γ = 0 → γ = π/2.