Q. 245.0( 1 Vote )
Find the volume of the parallelepiped whose edges are represented by the vectors 
and 
Answer :
Scalar triple product geometrically represents the volume of the parallelepiped whose three coterminous edges are represented by 
.i.e. V = 
∴ V = 
= 2(4 - 2) - ( - 3)(2 - ( - 3)) + 4( - 2 - 6) = 4 + 15 - 32 = | - 13| =
13 cubic units.
Ans:13 cubic 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
