The volume (in cubic units) of the paral...

The volume (in cubic units) of the parallelopiped whose edges are represented by the vectors `hat i + hat j , hat j + hat k` and `hat k + hat i` is

A

2

B

0

C

`sqrt2`

D

`2 sqrt2`

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

VECTOR ALGEBRA
NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION|2 Videos
VECTOR ALGEBRA
NEW JOYTHI PUBLICATION|Exercise UNIT TEST|7 Videos
TRIGONOMETRIC FUNCTIONS
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

Find the volume of a parallelopiped whose edges are represented by the vectors vec a = 2 hat i -3 hat j -4 hat k and vec b = hat i +2 hat j - hat k and vec c = 3 hat i + hat j + 2 hat k .

Find the volume of a parallelopiped with coterminous edges represented by the vectors 3 hat i + 4 hat j , 2 hat i + 3 hat j + 4 hat k and 5 hat k .

Find the volume of the parallelepiped whose coterminus edges are given by the vectors hat i + 2 hat j + 3 hat k , 2 hat i - hat j - hat k and 3 hat i + 4 hat j + 2 hat k

The volume of the parallelepiped whose edges are represented by -12 hati + lambda hat k , 3 hat j - hat k , 2hat I + hatj - 15 hat k is 546 cubic units. Find the value of lambda

The area of a parallelogram whose adjacent sides are represented by the vectors a = − hat i−2 hat j −3 hat k and b=− hat i+2 hat j – 3 hat k is

The area of a parallelogram whose adjacent sides are represented by the vectors vec a = 2 hat i + hat j +3 hat k and vec b = hat i- hat j is

Find the angle between the vectors hat i - 2 hat j + 3 hat k and 3 hat i - 2 hat j + hat k .

The volume of the parallelepiped with its edges represented by the vectors hat(i)+hat(j),hat(i)+2hat(j),hat(i)+hat(j)+pihat(k) is

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a = hat i - hat j + 3 hat k and vec b = 2 hat i - 7 hat j + hat k .

NEW JOYTHI PUBLICATION-VECTOR ALGEBRA-OBJECTIVE TYPE QUESTIONS

If |vec a| = 4 and -3 le lambda le 2 then the range of |lambda vec a|
Text Solution
|
If vec a and vec b are two unit vectors and theta is the angle between...
Text Solution
|
If the vectors 3 hat i + lambda hat j + hat k and 2 hat i - hat j + 8 ...
Text Solution
|
Let veca and vec b be two unit vectors such that angle between them i...
Text Solution
|
The two variable vectors 3x hat i + y hat j - 3 hat k and x hat i - 4 ...
Text Solution
|
Consider the vectors veca = hat i + 3 hat j + hat k and vec b = 2 hat ...
Text Solution
|
If |vec a| = 3, | vec b| = 4, then the value of lambda for which vec ...
Text Solution
|
If vec a and vec b are two non -zero vectors, then (vec a + vec b) .(v...
Text Solution
|
vec a .(vec b + vec c) is equal to
Text Solution
|
If vec a = hat i + 2 hat j - 3 hat k and vec b = 3 hat i - hat j + 2 h...
Text Solution
|
If vec a and vec b are non - zero vectors and |vec a+ vec b| = |vec a ...
Text Solution
|
The projection of the vector hat i + hat j + hat k along the vector ha...
Text Solution
|
A unit vector perpendicular to the vectors veca = 2 hat i - 6 hat j - ...
Text Solution
|
The number of vectors of unit length perpendicular to the vectors vec ...
Text Solution
|
If vec a, vec b, vec c are any three mutually perpendicular vectors of...
Text Solution
|
The volume (in cubic units) of the parallelopiped whose edges are repr...
Text Solution
|
The projection vector of veca on vecb is
Text Solution
|
If vec a xx vec b and vec a. vecb = 0 then
Text Solution
|
If vec a = hat i - hat j and vec b = hat j + hat k then |vec a xx vec ...
Text Solution
|
Let vec a = hat i + hat j + hat k, vec b = hat i - hat j + 2 hat k and...
Text Solution
|