Q. 31
Mark (√) against the correct answer in the following:
It is given that the vectors 
and 
are coplanar. Then, the value of λ is
A. 
B. 
C. 2
D. -1
Answer :
Given 
And 
=
are the coplanar.
If three vectors 
are coplanar, then [
[
=0
⇒2[2(1+
)]-2[-4(1+
=0
⇒4(1+
)+8(1+
)=0
⇒12(1+
)=0
⇒λ=-1
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The angle between two vectors 
and 
with magnitudes 
and 4, respectively, and 
is
True and False
If 
, then the vectors 
and 
are orthogonal.
Fill in the blanks
The vectors 
are the adjacent sides of a parallelogram. The acute angel between its diagonals is ____________.
Fill in the blanks
If 
is any non-zero vector, then 
equals ______.
True and False
If 
and 
are adjacent sides of a rhombus, then 
.
True and False
The formula 
is valid for non-zero vectors 
and 
.
Fill in the blanks
The vector 
bisects the angle between the non-collinear vectors 
and 
if ________
If 
and 
are two vectors such that 
then prove that vector 
is perpendicular to vector 
Mark the correct alternative in each of the following:
If θ is an acute angle and the vector 
is perpendicular to the vector 
then θ =
RD Sharma - Volume 2
Mark the correct alternative in each of the following:
is equal to
RD Sharma - Volume 2
