Chapter 8: Vector Algebra I - Online Test
Q1.
If 
are the position vectors of three
collinear points, then which of the following is true?
Answer : Option B
Explaination / Solution:
Q2. If 
, then the point P whose position vector 
divides the
line joining the points with position vectors 
and 
in the ratio
, then the point P whose position vector divides the
line joining the points with position vectors and in the ratio
Answer : Option A
Explaination / Solution:
Q3. If λiˆ + 2λjˆ + 2λkˆ is a unit vector, then the value of λ is
Answer : Option A
Explaination / Solution:
Q4. Two vertices of a triangle have position vectors 3iˆ + 4 ˆj − 4kˆ and 2iˆ + 3 ˆj + 4kˆ. If the position vector of the centroid is iˆ + 2 ˆj + 3kˆ, then the position vector of the third vertex is
Answer : Option A
Explaination / Solution:
Q5. If | + | = 60,| - | = 40 and | |=46,
then || is
+ | = 60,| - | = 40 and | |=46,
then || is
Answer : Option C
Explaination / Solution:
Q6. If and having same magnitude and angle between them is 60º
and their scalar product is 1/2 then | | is
and having same magnitude and angle between them is 60º
and their scalar product is 1/2 then | | is
Answer : Option D
Explaination / Solution:
Q7. The value of θ ∈ (0, π/2) for which the vectors 
are perpendicular, is equal to
are perpendicular, is equal to
Answer : Option A
Explaination / Solution:
Q8. If | |= 13,| |= 5 and ⋅ = 60° then | × | is
|= 13,| |= 5 and ⋅ = 60° then | × | is
Answer : Option D
Explaination / Solution:
Q9. Vectors and are inclined at an
angle θ = 120º. If | |= 1,| |= 2 , then [( + 3 ) × (− )]2 is equal to
and are inclined at an
angle θ = 120º. If | |= 1,| |= 2 , then [( + 3 ) × (− )]2 is equal to
Answer : Option D
Explaination / Solution:
Q10. If and are two vectors of
magnitude 2 and inclined at an angle 60º , then the angle between and + is
and are two vectors of
magnitude 2 and inclined at an angle 60º , then the angle between and + is
Answer : Option A
Explaination / Solution:
