Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Which of the followings is/are correct :
A
The angle between the two straight lines 
= 3 
– 2 
+ 4 
+ λ (– 2 
+ 
+ 2 
) and 
= 
+ 3 
– 2 
+ μ (3 
– 2 
+ 6 
) is cos –1 
= 3 – 2 + 4 + λ (– 2 + + 2 ) and = + 3 – 2 + μ (3 – 2 + 6 ) is cos –1
B
= 
.
C
The force determined by the vector 
= (1, − 8, − 7) is resolved along three mutually perpendicular directions, one of which is in the direction of the vector 
. Then the vector component of the force 
in the direction of the vector 
is 
= (1, − 8, − 7) is resolved along three mutually perpendicular directions, one of which is in the direction of the vector . Then the vector component of the force in the direction of the vector is
D
The cosine of the angle between any two diagonals of a cube is 
.
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b,c,d)
S 1 : Angle between the given lines is = angle between the vectors 
and 
⇒ cos θ = 
= cos –1 
S 2 : Let ( 
) 
given expression is 
S 3 : Component of 
in direction of 
= 
= 
= 
= 
S 4 : Dr's of diagonal BD = a, – a, a or 1,–1,1
Dr's of diagonal AF = – a, a, a or –1, 1, 1
Angle between above diagonals 
= 
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