Math Problem Statement

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Find the sine of the angle between the lines l1: (x+2)/1 = y/2 = (z-1)/0 and l2: {x=z, y=3+2t, z=1+t}, with t ∈ ℝ.

Solution

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Math Problem Analysis

Mathematical Concepts

3D Geometry
Angles Between Lines
Vector Algebra

Formulas

sin(θ) = ||v1 × v2|| / (||v1|| * ||v2||)
Cross product and dot product in 3D

Theorems

Relation between sine of angle and cross product of direction vectors

Suitable Grade Level

Grades 10-12