Introduction to 3DHard
Question
A non-zero vector 
is parallel to the line of intersection of the plane determined by the vectors 
and the plane determined by the vectors 
,. The possible angle between 
and 
is -
is parallel to the line of intersection of the plane determined by the vectors and the plane determined by the vectors ,. The possible angle between and is -Options
A.π/3
B.π/4
C.π/6
D.3π/4
Solution
Let normal vector n1 perpendicular to plane determining 
is
n1 =
similarly n2 =
Now vector parallel to intersection of plane =
=
⇒ 
Angle between
and 
cos θ =
⇒ θ =
or θ = π - 
= 
isn1 =
similarly n2 =
Now vector parallel to intersection of plane =
=
⇒ Angle between
and cos θ =
⇒ θ =
or θ = π - = Create a free account to view solution
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