Find the vector equation of line passing through point (1,2,-4) and pe – InterviewSolution

1.	Find the vector equation of line passing through point (1,2,-4) and perpendicular to two lines `(x-8)/3 = (y+19)/-16 = (z-10)/7 and (x-15)/3 = (y-25)/8 =(z-5)/-5`
Answer» `L_3_\|_L_1,L_3_\|_L_1` `P_3_\|_P_1,P_3_\|_P_2` `P_3=vecP_1*vecP_2` `=hati(24)-hatj36+72hatk` `vecP_3=24hati+36hatj+72hatk` `vecP_3=12(2hati+3hatj+6hatk)` `A(1,2,-4)` `vecr-vecA=lambdavecP_3` `(xhati+yhatj+zhatk)-(hati+2jatj-4hatk)=lambda(2hati+3hatj+6hatk)` `(x-1)/2=(y-2)/3=(z+4)/6`

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