Q. 26
Mark (√) against the correct answer in the following:
If
and
are unit vectors such that
then 
A. 
B. 
C. 
D. 
Answer :
Given are unit vectors and
|
Let the angle between be θ
We can write the given relation as
Squaring on both the sides
⇒
⇒ 1+1+=1
⇒ =-1
⇒=-
Similarly we can prove that and
Asking us to find the value of (
=
=
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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