Let find a plane S containing points A(3,0,0) ,B(0,2,0),C(0,0,1):
∣∣x−xaxb−xaxc−xay−yayb−yayc−yaz−zazb−zazc−za∣∣ =0
∣∣x−30−00−0y−02−00−0z−00−01−0∣∣ =0
Plane S equation:
2∗x+3∗y+6∗z−6=0
Let find a height OH of a cone. OH is perpendicular to the plane S and passes through point O(0,0,0)
2x−0=3y−0=6z−0
Let us find the equation of the straight line passing through the origin and point A
As a result, the parametric equation of the straight line D was obtained
x=3∗t
Find the angle between the straight lines A and D
ϕ=73.381°
Length of line OH is 0.85:
tg(ϕ)=0.85HA
HA=2.78
Equation of cone
2.782x2+2.782y2−0.852z2=0
Comments
Leave a comment