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