Equation of plane through (7,0,6) is a(x−7)+b(y−0)+c(z−6)=0 Also, (3,2,−1) and (3,4,2) lie on this. Then, −4a+2b−7c=0 and ‌‌−4a+4b−4c=0 Eliminating a,b,c we get, |
x−7
y
z−6
−4
2
−7
−4
4
−4
|=0 We get, ‌‌20x−12y−8z=92 or ‌‌5x−3y−2z=23 ∴λ=23