IIT JEE , AIEEE Forum - Mathematics , Analytical Geometry - 3 d planes (rates assured. 100% urgent!!!)

Taara

1) FIND EQN OF PLANE passing through pt (-1 , 3,2) and perp to each of plane

x+ 2y +3 z = 5

3x + 3y + z =0

ANS: 7x - 8y +3z +25 =0

2)

find vector eqn of the line passing throu (1,2,3)

and parallel to plane

r. (i - j + 2k) = 5

and r. (3 i + j + k) = 6

ANS: r= i + 2j + 3 k + lamda ( -3 i + 5j + 4k)

3)

find vector eqn of line via pt (1, 2 ,-4)

and perp to two lines

x-8 / 3 = y+19 / -16 = z-10 / 7

&

x - 15 / 3 = y - 29 / 3 = z - 5 / -5

tried cross prod after converting to vector ans didn't come.

ANS: r = i + 2 j - 4 k + lamda ( 2 i + 3 j + 6 k)