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JEE 2020 Mathematics: Vector-1 (08.08.2019)
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Question 1
and 
are non-zero non–collinear vectors such that |
| = 2, 
.
= 1 and angle between 
and 
is 
. If 
is any vector satisfying 
. 
= 2, 
.
= 8, (
+ 2
– 10
) . (
×
) = 6 and is equal to 
+ 2
– 10
= λ (
) then λ =
Question 2
If the vectors 
and 
are coplanar (where none of a, b or c is zero), then
and are coplanar (where none of a, b or c is zero), then
Question 3Multiple Correct Options
If 
, 
and 
for some non-zero vector 
, then
, and for some non-zero vector , then
Question 4
If 
and 
the the angle between 
and 
is
and the the angle between and is
Question 5
If 
and 
are three vectors such that 
is parallel to the plane of 
and 
, then r is equal to
and are three vectors such that is parallel to the plane of and , then r is equal to
Question 6
If a, b and c are the three non-coplanar vectors, then 
is equal to
is equal to
Question 7
Let 
and 
. If U is a unit vector, then the maximum value of the scalar triple product [U V W] is
and . If U is a unit vector, then the maximum value of the scalar triple product [U V W] is
Question 8
Let 
and 
be non-zero vectors such that 
If θ is the acute angle between the vectors 
and 
, then 
equals
and be non-zero vectors such that If θ is the acute angle between the vectors and , then equals
Question 9
A non-zero vector a is parallel to the line of intersection of the plane determined by the vectors 
and the plane determined by the vectors 
The angle between a and the vector 
is
and the plane determined by the vectors The angle between a and the vector is
Question 10
If 
Are coplanar vectors, then λ is equal to
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Aug 8JEE & BITSAT
