Q. 29
Mark (√) against the correct answer in each of the following:
If 
and 
be the coterminous edges of a parallelepiped then its volume is
A. 21 cubic units
B. 14 cubic units
C. 7 cubic units
D. none of these
Answer :
Given – The three coterminous edges of a parallelepiped are 
To find – The volume of the parallelepiped
Formula to be used - 
where 
and 
Tip - The volume of the parallelepiped =
Hence,
The volume = 35 sq units
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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
