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