List of top Mathematics Questions on Equation of a Line in Space asked in COMEDK UGET

The equation of a line passing through origin with direction angles \( \frac{2\pi}{3}, \frac{\pi}{4}, \frac{\pi}{3} \) is

Two lines \( \frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4} \) and \( \frac{x-3}{1}=\frac{y-k}{2}=\frac{z}{1} \) intersect at a point. Then the value of \( k \) is

The image of a point \( P(3,5,3) \) in the line \( \frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3} \) is \( P'(a,b,c) \). Then \( a+b+c = \)