Q. 374.5( 2 Votes )
Fill in the blanks
The values of k for which 
and 
is parallel to 
holds true are _______.
Answer :
Given that, 
⇒ 
⇒ |k| < 1
⇒ -1 <k<1
Also, 
is parallel to 
⇒ k cannot be equal to 
, otherwise it will become null vector and then it will not be parallel to 
.
Since, k is along the direction of 
and not in its opposite direction.
∴ k ∈ (-1,1) – 
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Fill in the blanks
The values of k for which and is parallel to holds true are _______.
A and B are two points with position vectors 
and 
respectively. Write the position vector of a point P which divides the line segment AB internally in the ratio 1: 2.
L and M are two points with position vectors 2a-b and a+2b respectively. Write the position vector of a point N which divides the line segment LM in the ratio 2:1 externally.
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