Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
A DAS GUPTA-Product of three or more Vectors-Exercise
- If three concurrent edges of a parallelopiped of volume V represent ve...
Text Solution
|
- The position vectors of the points A,B,C , D are respectively 2 vec i ...
Text Solution
|
- If the three vectors vec a+ vec b , vec b+ vec c and vec c+ vec a ar...
Text Solution
|
- Prove that ( vec a- vec b)dot{( vec b- vec c)xx( vec c- vec a)}=0
Text Solution
|
- Let vec a = a1 hat i + a2 hat j+ a3 hat k;vec b = b1 hat i+ b2 hat j+...
Text Solution
|
- lf vec a,vec b,vec c , vec a', vec b',vec c', are two sets of non-...
Text Solution
|
- Let vec(a),vec(b)andvec(c) be three non-coplanar vectors and let vec(p...
Text Solution
|
- If vec a,vec b,vec c are three vectors such that vec a+vec b+vec c=vec...
Text Solution
|
- Prove that hat ixx( vec axx hat i) hat jxx( vec axx hat j)+ hat kxx( ...
Text Solution
|
- If vecaxx(vecbxxvecc)+(veca*vecb)vecb=(4-2beta-sinalpha)vecb+(beta^2-...
Text Solution
|
- Let vec abe a unit vector and vec ba non-zero vector not parallel to v...
Text Solution
|
- For any vector vec a , prove that | vec axx hat i|^2+| vec axx hat j|...
Text Solution
|
- If vectors b ,ca n dd are not coplanar, then prove that vector ( ve...
Text Solution
|
- If vec a, vecb and vec c are three conterminuous edges of a parallelo...
Text Solution
|
- Let vec a , vec b ,a n d vec c be non-coplanar unit vectors, equal...
Text Solution
|
- If vec a=vec i + vec j + vec k, vec b=vec i - vec j + vec k and vec c=...
Text Solution
|
- If the volume of a parallelopiped, whose three coterminous edges are -...
Text Solution
|
- Find the volume of the parallelepiped whose coterminous edges are r...
Text Solution
|
- The points (3,6,9), (1,2,3), (2,3,4) and (4,6,lambda) are coplanar if ...
Text Solution
|
- If vec xdot vec a=0, vec xdot vec b=0a n d vec xdot vec c=0 for some ...
Text Solution
|