Time Left - 45:00 mins
Vector and Three Dimensional Geometry Quiz
Attempt now to get your rank among 526 students!
Question 1
Equation of the line of the shortest distance between the lines 
and 
is:
and is:Question 2
ABC is a triangle in a plane with vertices, 
and
. If the median through A is equally inclined to the coordinate axes, then the value of
is:
and. If the median through A is equally inclined to the coordinate axes, then the value of is:Question 3
If the line, 
lies in the plane, 2x-4y+3z=2, then the shortest distance between this line and the line 
is:
lies in the plane, 2x-4y+3z=2, then the shortest distance between this line and the line is: Question 4
An angle between the plane, 
and the line of intersection of the planes, 
and 
is :
and the line of intersection of the planes, and is :Question 5
If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measured parallel to the line, 
is Q, then PQ is equal to:
is Q, then PQ is equal to:Question 6
The distance of the point (1, 3, −7) from the plane which passes through the point (1,−1,−1) and has a normal perpendicular to both the lines 
and,
is:
Question 7
The radius of the circle in which the sphere x2 + y2 + z2 + 2x − 2y − 4z − 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0 is
Question 8
The length of the projection of the line segment joining the points (5, – 1, 4) and (4, – 1, 3) on the plane, x+y+z=7 is
Question 9
Let 
be a vector coplanar with the vectors 
and 
If 
is perpendicular to 
and 
then 
is equal to :
be a vector coplanar with the vectors and If is perpendicular to and then is equal to :Question 10
Let 
and 
be two unit vectors such that 
. If 
, then 
is equal to:
and be two unit vectors such that . If , then is equal to:Question 11
Let 
and 
. Let 
be a vector such that 
, 
and angle between 
and 
be 30°. then 
is equal to:
and . Let be a vector such that , and angle between and be 30°. then is equal to:Question 12
Let 
and 
. If the vector 
lies in the plane of 
and 
, then x equals
and . If the vector lies in the plane of and , then x equalsQuestion 13
Let 
be three unit vectors such that 
. If 
is not parallel to 
, then the angle between 
and 
is :
be three unit vectors such that . If is not parallel to , then the angle between and is :Question 14
are 3 vectors, such that 
, 
= 3, then 
is equal to Question 15
For any vector
, the value of 
is equal to
, the value of is equal to- 526 attempts
- 9 upvotes
- 11 comments
Tags :
Mar 19JEE & BITSAT
