Home
Class 12
MATHS
For non-zero vectors vec a , vec b ,a n...

For non-zero vectors ` vec a , vec b ,a n d vec c|( vec axx vec b)dot vec c|=| vec a|| vec b|| vec c|` holds if and only if ` vec adot vec bdot=0, vec bdot vec c=0` b. ` vec bdot vec cdot=0, vec cdot vec a=0` c. ` vec cdot vec adot=0, vec adot vec b=0` d. ` vec adot vec bdot=0, vec bdot vec c=0"" vec cdot vec adot=0`

Promotional Banner

Topper's Solved these Questions

  • SCALAR OR DOT PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|233 Videos

  • SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|114 Videos

Similar Questions

Explore conceptually related problems

For non-zero vectors vec a , vec b ,a n d vec c ,|( vec axx vec b)dot vec c|=| vec a|| vec b|| vec c| holds if and only if a. vec a* vec b=0, vec b* vec c=0 b. vec b* vec c=0, vec c* vec a=0 c. vec c* vec a=0, vec a* vec b=0 d. vec a* vec b=0, vec b* vec c=0, vec c* vec a=0

Line vec r= vec a+lambda vec b will not meet the plane vec rdot vec n=q , if a. vec bdot vec n=0, vec adot vec n=q b. vec bdot vec n!=0, vec adot vec n!=q c. vec bdot vec n=0, vec adot vec n!=q d. vec bdot vec n!=0, vec adot vec n=q

For any three vectors vec a , vec b , vec c , prove that | vec a+ vec b+ vec c|^2=| vec a|^2+| vec b|^2+| vec c|^2+2( vec adot vec b+ vec bdot vec c+ vec cdot vec a)

The condition for equations vec rxx vec a= vec ba n d vec rxx vec c= vec d to be consistent is vec bdot vec c= vec adot vec d b. vec adot vec b= vec c dot vec d c. vec bdot vec c+ vec adot vec d=0 d. vec adot vec b+ vec c dot vec d=0

If vec a ,\ vec b ,\ vec c are unit vectors such that vec a+ vec b+ vec c= vec0 find the value of vec adot vec b+ vec bdot vec c+ vec cdot vec adot'

If vec a , vec b ,a n d vec c are unit vectors such that vec a+ vec b+ vec c=0, then find the value of vec adot vec b+ vec bdot vec c+ vec cdot vec adot

If | vec a|=10 ,\ | vec b|=2\ a n d\ | vec axx vec b|=16 find vec adot vec bdot

If vec adot vec b= vec adot vec c\ a n d\ vec axx vec b= vec axx vec c ,\ vec a!=0, then

Given that vec adot vec b= vec adot vec c , vec axx vec b= vec axx vec c and vec a is not a zero vector. Show that vec b= vec c dot

If | vec a|+| vec b|=| vec c| and vec a+ vec b= vec c , then find the angle between vec a and vec bdot

RD SHARMA ENGLISH-SCALAR TRIPLE PRODUCT -All Questions
  1. Write the value of [ hat i+ hat j\ hat j+ hat k\ hat k+ hat i]

    Text Solution

    |

  2. Write the value of [ hat i- hat j\ hat j- hat k\ hat k- hat i]

    Text Solution

    |

  3. Find the values of a for which are vectors vecalpha= hat i+2 hat j...

    Text Solution

    |

  4. Find the volume of the parallepiped with its edges represented by t...

    Text Solution

    |

  5. If vec a ,\ vec b ,\ are non collinear vectors, then find the va...

    Text Solution

    |

  6. For any two vectors vec a\ a n d\ vec b writhe the value of ( vec ad...

    Text Solution

    |

  7. If [3 vec a+7 vec b\ vec c\ vec d]=lambda[ vec a\ vec c\ vec d]+mu...

    Text Solution

    |

  8. Find vec a.( vec bxx vec c)\ if\ vec a=2 hat i+ hat j+3 hat k ,\ ve...

    Text Solution

    |

  9. If vec a in the plane of vectors vec b\ a n d\ vec c then which o...

    Text Solution

    |

  10. The value of [ vec a- vec b ,\ vec b- vec c ,\ vec c- vec a],\ w h e...

    Text Solution

    |

  11. If vec a , vec b ,\ vec c are three non coplanar mutually perpend...

    Text Solution

    |

  12. For any three vectors vec a ,\ vec b ,\ vec c the expression ( vec ...

    Text Solution

    |

  13. If a ,\ b ,\ c are non coplanar vectors then ( vec adot( vec bxx ve...

    Text Solution

    |

  14. Let vec a=a1 hat i+a2 hat j+a2 hat k , vec b=b1 hat i+a2 hat j+b2 hat...

    Text Solution

    |

  15. Find dy/dx if 3= 2x-3y

    Text Solution

    |

  16. If the vectors 4 hat i+11 hat j+m hat k ,\ 7 hat i+2 hat j+6 hat k\ a ...

    Text Solution

    |

  17. For non-zero vectors vec a , vec b ,a n d vec c|( vec axx vec b)dot v...

    Text Solution

    |

  18. ( vec a+ vec b)dot( vec b+ vec c)xx( vec a+ vec b+ vec c)= [ vec a\ ...

    Text Solution

    |

  19. If vec a ,\ vec b ,\ vec c are three non coplanar vectors, then ...

    Text Solution

    |

  20. ( vec a+2 vec b- vec c)dot{( vec a- vec b)xx( vec a- vec b- vec c)} is...

    Text Solution

    |