Home
Class 12
MATHS
The condition for equations vec rxx v...

The condition for equations ` vec rxx vec a= vec ba n d vec rxx vec c= vec d` to be consistent is a. ` 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`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos

  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

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

Value of [ vec axx vec b , vec axx vec c , vec d] is always equal to a. ( vec adot vec d)[ vec a vec b vec c] b. ( vec adot vec c)[ vec a vec b vec d] c. ( vec adot vec b)[ vec a vec b vec d] d. none of these

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

The lines vec r= vec a+lambda( vec bxx vec c)a n d vec r= vec b+mu( vec cxx vec a) will intersect if a. vec axx vec c= vec bxx vec c b. vec adot vec c= vec bdot vec c c. bxx vec a= vec cxx vec a d. none of these

( vec a+ vec b)dot( vec b+ vec c)xx( vec a+ vec b+ vec c)= a. [ vec a\ vec b\ vec c] b. 0 c. 2[ vec a\ vec b\ vec c] d. -[ vec a\ vec b\ vec c]

If vec a= vec p+ vec q , vec pxx vec b=0a n d vec qdot vec b=0, then prove that ( vec bxx( vec axx vec b))/( vec bdot vec b)= vec qdot

If vec axx( vec bxx vec c) is perpendicular to ( vec axx vec b)xx vec c , we may have a. ( vec a. vec c)| vec b|^2=( vec a. vec b)( vec b.vec c)( vec c.vec a) b. vec adot vec b=0 c. vec adot vec c=0 d. vec bdot vec c=0

For any four vectors, vec a , vec b , vec c and vec d prove that vec d.( vec axx( vec bxx( vec cxx vec d)))=( vec b. vec d)[ vec a \ vec c \ vec d] .

If [ vec a vec b vec c]=2, then find the value of [( vec a+2 vec b- vec c)( vec a- vec b)( vec a- vec b- vec c)]dot

If vec a , vec b , vec ca n d vec d are distinct vectors such that vec axx vec c= vec bxx vec da n d vec axx vec b= vec cxx vec d , prove that ( vec a- vec d). (vec b- vec c)!=0,

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If vec a=a1 hat i+a2 hat j+a3 hat k ; vec b=b1 hat i+b2 hat j+b3 hat...

    Text Solution

    |

  2. Find the absolute value of parameter t for which the area of the ...

    Text Solution

    |

  3. The condition for equations vec rxx vec a= vec ba n d vec rxx vec c...

    Text Solution

    |

  4. If aa n db are nonzero non-collinear vectors, then [ vec a vec b hat...

    Text Solution

    |

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

    Text Solution

    |

  6. A vector of magnitude 10 along the normal to the curve 3x^2+8x y+2y^2-...

    Text Solution

    |

  7. If a( vecalphaxx vecbeta)+b( vecbetaxx vecgamma)+c( vecgammaxx vecalph...

    Text Solution

    |

  8. If ( vec axx vec b)xx( vec bxx vec c)= vec b ,w h e r e vec a , vec b ...

    Text Solution

    |

  9. If vec a , vec ba n d vec c are three non coplanar vectors, then ( ...

    Text Solution

    |

  10. If vec x+ vec cxx vec y= vec aa n d vec y+ vec cxx vec x= vec b ,w h ...

    Text Solution

    |

  11. If vec aa n d vec b are two unit vectors incline at angle pi//3 , ...

    Text Solution

    |

  12. Value of [ vec axx vec b , vec axx vec c , vec d] is always equal to...

    Text Solution

    |

  13. Let V be the volume of the parallelopiped formed by the vectors vec a ...

    Text Solution

    |

  14. Find 3-dimensional vectors vec v1,vec v2,vec v3 satisfying vec v1* ve...

    Text Solution

    |

  15. Let vec u and vec v be unit vectors such that vec uxx vec v+ vec u= ...

    Text Solution

    |

  16. For any two vectors vec ua n d vec v prove that ( vec u. vec v)^2+| ...

    Text Solution

    |

  17. If the incident ray on a surface is along the unit vector vec v, the r...

    Text Solution

    |

  18. If vec a , vec b , vec ca n d vec d are distinct vectors such that ...

    Text Solution

    |

  19. Given two vectors vec a=- hat i+2 hat j+2 hat ka n d vec b=-2 hat i+ ...

    Text Solution

    |

  20. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

    Text Solution

    |