Q. 11
Mark (√) against the correct answer in the following:
If 
and 
then the angle between 
and 
is
A. 
B. 
C. 
D. none of these
Answer :
Given vectors 
and 
Let the vector 
be 
|
Let the vector 
be 
|
= (5 
7) + 0 -(4 
1)
=35-4
=31
Let angle between the vectors 
and 
be θ
Using the dot product property of the vectors,
Substituting the given values in the equation,
⇒
=
⇒θ=
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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
