Saved Bookmarks
| 1. |
Find the vector equation of the line passingthrough the point (1,2,3) and parallel to the planes ` vec rdot( hat i- hat j+2 hat k)=5`and ` vec rdot(3 hat i+ hat j+ hat k)=6.` |
|
Answer» `P_1=vecr*(hati-hatj+2hatk)=5` `vecn_1=hati-hatj+2hatk` `P_2=vecr*(3hati+hatj+hatk)=6` `vecn=3hati+hatj+hatk` `l=vecr=veca+lambdavecb` `vecb=vecn_1*vecn_2` `=i(-1-2)-j(1-6)+k(1-(-3))` `vecb=-3hati+5hatj+4hatk` `vecr=veca+lambdavecb` `vecr=(hati+2hatj+3hatk)+lambda(-3hati+5hatj+4hatk)` `vecr=(1-3lambda)hati+(2+5lambda)hatj+(3+4lambda)hatk`. |
|