Home
Class 12
MATHS
Find [ vec a , vec b , vec c],when vec a...

Find `[ vec a , vec b , vec c]`,when `vec a=2 hat i-3 hat j+4 hat k , vec b= hat i+2 hat j- hat k` and ` vec c=3 hat i- hat j+2 hat k`

Text Solution

AI Generated Solution

To find the scalar triple product \([ \vec{a}, \vec{b}, \vec{c} ]\), we will follow these steps: ### Step 1: Define the vectors Given: \[ \vec{a} = 2 \hat{i} - 3 \hat{j} + 4 \hat{k} \] \[ ...
Promotional Banner

Topper's Solved these Questions

  • SCALAR OR DOT PRODUCT

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|82 Videos

Similar Questions

Explore conceptually related problems

Find vec a.( vec bxx vec c)\ if\ vec a=2 hat i+ hat j+3 hat k ,\ vec b=- hat i+2 hat j+ hat k\ a n d\ vec c=3 hat i+ hat j+2 hat kdot

Find [vec avec bvec c], when :vec a=2hat i-3hat j,vec b=hat i+hat j-hat k and vec c=3hat i-hat k

Find the volume of the parallelepiped whose coterminous edges are represented by the vectors: vec a=2 hat i+3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j+2 hat k vec a=2 hat i+3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j-2 hat k vec a=11 hat i , vec b=2 hat j- hat k , vec c=13 hat k vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat k , vec c= hat i+2 hat j- hat k

Find [vec avec bvec c], when (ii) vec a=2hat i-3hat j,vec b=hat i+hat j-hat k and vec c=3hat i-hat k(i)vec a=hat i-2hat j+3hat k,vec b=2hat i+hat j-hat k and vec c=hat j+hat k

Find the projection of vec b+vec c on vec a, where vec a=2hat i-2hat j+hat k,vec b=hat i+2hat j-2hat k and vec c=2hat i-hat j+4hat k

Find the projection of vec b+vec c on vec a where vec a=2hat i-2hat j+hat k,vec b=hat i+2hat j-2hat k and vec c=2hat i-hat j+4hat k

Write the projection of vec b+vec c on vec a, when vec a=2hat i-2hat j+hat k,vec b=hat i+2hat j-2hat k and vec c=2hat i-hat j+4hat k

Find the projection of vec b+vec c on vec a, where vec a=2hat i-2hat j+hat k,=hat i+2hat j-2hat j-2hat k and vec c=2hat i-hat j+4hat k

Find vec adot vec b , when (i) vec a= hat i-2 hat j+ hat k and vec b=4 hat i-4 hat j+7 hat k (ii) vec a= hat j+2hat k and vec b = 2 hat i+ hat k (iii) vec a= hat j-hat k andvec b= 2 hat i+3 hat j-2 hat k

Find vec a*(vec b xxvec c),quad if quad vec a=hat 2hat i+hat j+3hat k,vec b=hat i+2hat j+hat k and c=3hat i+hat j+2hat k

RD SHARMA-SCALAR TRIPLE PRODUCT -Solved Examples And Exercises
  1. vec a , vec b and vec c are the position vectors of points A ,B and C...

    Text Solution

    |

  2. Let vec a= hat i+ hat j+ hat k , vec b= hat i and hat c=c1 hat i+c2...

    Text Solution

    |

  3. Find [ vec a , vec b , vec c],when vec a=2 hat i-3 hat j+4 hat k , vec...

    Text Solution

    |

  4. Find the volume of a parallelepiped whose edges are given by 3 hat i...

    Text Solution

    |

  5. If |(a,a^2, 1+a^3),(b,b^2, 1+b^3),(c,c^2, 1+c^3)|=0 and the vectors v...

    Text Solution

    |

  6. Evaluate [ hat i hat j hat k][ hat i hat k hat j]

    Text Solution

    |

  7. Simplify: [ vec a- vec b, vec b- vec c, vec c- vec a]

    Text Solution

    |

  8. If the vectors vecalpha=a hat i+a hat j+c hat k , vecbeta= hat i+ hat...

    Text Solution

    |

  9. Determine alpha such that a vector vec r is at right angles to each o...

    Text Solution

    |

  10. Find the range of f(x)= sin^-1x+tan^-1x+cos^-1x

    Text Solution

    |

  11. For any three vectors a b,c, show that vec a xx (vec b +vec c)+vec b x...

    Text Solution

    |

  12. Let vec a , vec b , vec c be three non-zero vectors such that vec c ...

    Text Solution

    |

  13. Let vec a , vec ba n d vec c , be non-zero non-coplanar vectors. Prov...

    Text Solution

    |

  14. Find the altitude of a parallelepiped determined by the vectors ve...

    Text Solution

    |

  15. Let vec a , vec b , vec c , be three non-zero vectors. If vec adot( ...

    Text Solution

    |

  16. If a is a non-zero real number, then prove that the vectors vecalp...

    Text Solution

    |

  17. If vec a+vec b+vec c=0, prove that (vec a xx vec b)=(vec b xx vec c)=(...

    Text Solution

    |

  18. Show that the vectors vec a=-2 hat i-2 hat j+4 hat k ,\ vec b=-2 ...

    Text Solution

    |

  19. Find lambda so that the vectors vec a=2 hat i- hat j+ hat k ,\ vec b...

    Text Solution

    |

  20. The four points whose position vector are 6 hat i - 7 hat j,16 hat i -...

    Text Solution

    |