Let the line having equation

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

Let the line LL having equation x−12=y−35=z−13\frac{x-1}{2} = \frac{y-3}{5} = \frac{z-1}{3} , intersects the plane PP , having equation x−y+z=5x - y + z = 5 at the point AA . Statement I Equation of the line L′L' through the point AA , lying in the plane PP and having minimum inclination with line LL is 8x+y−7z−4=0=x−y+z−58x + y - 7z - 4 = 0 = x - y + z - 5 Statement II Line L′L' must be the projection of the line LL in the plane PP .

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