Space geometry

9000106304

Level: 
B
Find the third coordinate of the point B=[2;0;?] using the fact that this point is in the plane α defined by the equation α:2x+yz5=0. Use the point B to find the angle φ between the plane α and the line AB, where A=[0;0;1].
φ=60
φ=45
φ=30
φ=75

9000106305

Level: 
B
Find the area of the triangle ABS. Only first two coordinates of the point B=[2;0;?] are given and B lies in the plane α defined by the equation α:2x+yz5=0. The point S is the intersection point of the plane α and the line k which is perpendicular to α and passes through the point A=[0;0;1].
3
2
4
6

9000106308

Level: 
B
In the following list identify a pair of planes such that the distance of planes from the plane α is the same as the distance between the point A=[0;0;1] and the plane α. α:2x+yz5=0
2x+yz+11=02x+yz11=0
2x+yz+11=02x+yz10=0
2x+yz+11=02x+yz12=0
2x+yz+1=02x+yz9=0