Chapter 6: Applications of Vector Algebra - Online Test
Q1. If the direction cosines of a line are 
then
then
Answer : Option B
Explaination / Solution:
No Explaination.
Q2. The vector equation points 
= (ˆ i - 2 ˆ j - ˆ k ) + t(6 ˆ i - ˆ k ) represents a straight line passing through the
= (ˆ i - 2 ˆ j - ˆ k ) + t(6 ˆ i - ˆ k ) represents a straight line passing through the
Answer : Option C
Explaination / Solution:
No Explaination.
Q3. If the distance of the point (1,1,1) from the
origin is half of its distance from the plane x + y + z + k = 0 , then the values of k are
Answer : Option D
Explaination / Solution:
No Explaination.
Q4. If the planes .(2 ˆi - λ ˆj + ˆk ) = 3 and .(4 ˆi + ˆj - μ ˆk ) = 5 are parallel, then the value of λ
and μ are
.(2 ˆi - λ ˆj + ˆk ) = 3 and .(4 ˆi + ˆj - μ ˆk ) = 5 are parallel, then the value of λ
and μ are
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. If the length of the perpendicular from the
origin to the plane 2x + 3y + λ z = 1 , λ > 0 is 1/5 , then the value of λ
is
Answer : Option A
Explaination / Solution:
No Explaination.
