Chapter 6: Applications of Vector Algebra - Online Test
Q1. If 
and 
are parallel vectors,
then [ , 
, ] is equal to
and are parallel vectors,
then [ , , ] is equal to
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. If a vector 
lies in the plane of 
and 
, then
lies in the plane of and , then
Answer : Option C
Explaination / Solution:
No Explaination.
Q3. If 
, then the value of [
] is
, then the value of [] is
Answer : Option A
Explaination / Solution:
No Explaination.
Q4. If , , are three unit vectors such
that is perpendicular to , and is parallel to then x ( x ) is equal to
, , are three unit vectors such
that is perpendicular to , and is parallel to then x ( x ) is equal to
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. If [,, ] = 1, then the value of 
is
,, ] = 1, then the value of is
Answer : Option C
Explaination / Solution:
No Explaination.
Q6. The volume of the parallelepiped with its edges
represented by the vectors iˆ + ˆj, iˆ + 2 ˆj, iˆ + ˆj + π kˆ is
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. If and are unit vectors such
that [, b, × b ] = π/4, then the angle between and is
and are unit vectors such
that [, b, × b ] = π/4, then the angle between and is
Answer : Option A
Explaination / Solution:
No Explaination.
Q8. If 
and 
,
then the value of λ + μ is
and ,
then the value of λ + μ is
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. If , , are non-coplanar, non-zero vectors
such that [, , ] = 3, then 
is equal to
, , are non-coplanar, non-zero vectors
such that [, , ] = 3, then is equal to
Answer : Option A
Explaination / Solution:
No Explaination.
Q10. If , , are three non-coplanar vectors
such that 
, then the angle between and is
, , are three non-coplanar vectors
such that , then the angle between and is
Answer : Option B
Explaination / Solution:
No Explaination.
