Introduction to 3DHard
Question
Consider the following 5 statements
(I) There exists a plane containing the points (1, 2, 3) and (2, 3, 4) and perpendicular to the vector
(II) There exist no plane containing the point (1, 0 0); (0, 1, 0); (0, 0, 1) and (1, 1, 1)
(III) If a plane with normal vector
is perpendicular to a vector 
then 
= 0
(IV) If two planes are perpendicular then every line in one plane is perpendicular to every line on the other plane
(v) Let P1 and P2 are two perpendicular planes. If a third plane P3 is perpendicular to P1 then it must be either parallel or perpendicular or at an angle of 45o to P2 .
Choose the correct alternative .
(I) There exists a plane containing the points (1, 2, 3) and (2, 3, 4) and perpendicular to the vector
(II) There exist no plane containing the point (1, 0 0); (0, 1, 0); (0, 0, 1) and (1, 1, 1)
(III) If a plane with normal vector
is perpendicular to a vector then = 0(IV) If two planes are perpendicular then every line in one plane is perpendicular to every line on the other plane
(v) Let P1 and P2 are two perpendicular planes. If a third plane P3 is perpendicular to P1 then it must be either parallel or perpendicular or at an angle of 45o to P2 .
Choose the correct alternative .
Options
A.exactly one is false
B.exactly 2 are false
C.exactly 3 are false
D.exactly four are false
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