Short Answer TypeFind the coordinates of the point, where the line 
intersects the plane 
. Also find the angle between the line and the plane.
The equation of the given line is 
Any point on the given line is 
If this point lies on the given plane x - y + z - 5 = 0, then
Putting 
in 
we get the point of intersection of the given line and the plane is (2, -1, 2).
Let 
be the angle between the given line and the plane. 
Thus, the angle between the given line and the given plane is 
Find the vector equation of the plane which contains the line of intersection of the planes. 
and 
and which is perpendicular to the plane 
A speaks truth in 60% of the cases, while B in 90% of the cases. In what percent of cases are they likely to contradict each other in stating the same fact? In the cases of contradiction do you think, the statement of B will carry more weight as he speaks truth in more number of cases than A?
Long Answer TypeUsing integration, find the area bounded by the curve x2 = 4y and the line x = 4y – 2.
are two vectors such that 
then prove that vector 
is perpendicular to vector 
Switch
