Q. 15
Mark (√) against the correct answer in the following:
If 
and 
are mutually perpendicular unit vectors then 
A. 3
B. 5
C. 6
D. 12
Answer :
Given 
are mutually perpendicular unit vectors
⇒|
And angle between the vectors 
is 
and 
=0
Asking to find (3
Multiplying ,
=(3
5)
- (3
6) (
+ (2
5)(
- (2
6)
= 15
(
[reason: dot product is commutative i.e, 
=15-8(
-12
=15-12 [reason:
=0]
= 3
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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
