Q. 17
Write the projection of the vector 
on the vector 
Answer :
projection of a on b is given by:
|
| = (12 + 12 + 02)1/2
⇒|
| = (1 + 1)1/2 = (2)1/2
a unit vector in the direction of the sum of the vectors is given by:
Ans: the projection of the vector 
on the vector 
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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 =
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Mark the correct alternative in each of the following:
is equal to
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