Home
Class 12
MATHS
Given vec a=x hat i+y hat j+2 hat k , v...

Given ` vec a=x hat i+y hat j+2 hat k , vec b= hat i- hat j+ hat k , vec c= hat i+2 hat j ; vec a_|_ vec b , vec adot vec c=4.` Then `[ vec a vec b vec c]^2=| vec a|` b. `[ vec a vec b vec c]^=| vec a|` c. `[ vec a vec b vec c]^=0` d. `[ vec a vec b vec c]^=| vec a|^2`

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

Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i+ hat j- hat kdot Then find [vec a vec b vec c]

if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , Find vec a . vec b =?

If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k and vec c=z hat i+x hat j+y hat k , then vec axx( vec bxx vec c) is

if vec a = 2 hat i- 3 hat j+hat k and vec b = hat i+2 hat j- 3hat k then vec aXvec b is

If vec a= hat i+ hat j+ hat k and vec b= hat i-2 hat j+ hat k , then find vector vec c such that vec a . vec c=2 and vec axx vec c= vec bdot

If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and vec c= hat i+2 hat j- hat k , find |3 vec a-2 hat b+4 hat c|dot

If vec a = -hat i+hat j+2 hat k, vec b= 2 hati- hatj- hat k , and vec c = -2hat i+hat j+3 hatk then find the angle between 2 vec a- vec c and veca+ vecb .

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot

If vec a=2 hat i+3 hat j-5 hat k , vec b=m hat i+n hat j+12 hat k and vec axx vec b= vec0, then find (m ,n)dot

Let vec a= hat i+4 hat j+2 hat k , vec b=3 hat i-2 hat j+7 hat ka n d vec c=2 hat i- hat j+4 hat kdot Find a vector vec d which is perpendicular to both vec a and vec b and vec c. vec d=15.

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If vec a , vec b , and vec c are three mutually orthogonal unit vector...

    Text Solution

    |

  2. Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec b...

    Text Solution

    |

  3. Given vec a=x hat i+y hat j+2 hat k , vec b= hat i- hat j+ hat k , ve...

    Text Solution

    |

  4. vec aa n d vec b are two unit vectors that are mutually perpendicu...

    Text Solution

    |

  5. If vec ra n d vec s are non-zero constant vectors and the scalar ...

    Text Solution

    |

  6. The scalar vec Adot [( ( vec B+ vec C)xx( vec A+ vec B+ vec C))] eq...

    Text Solution

    |

  7. The volume of he parallelepiped whose sides are given by vec O A=2i...

    Text Solution

    |

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

    Text Solution

    |

  9. For three vectors vec u , vec va n d vec w which of the following ex...

    Text Solution

    |

  10. Let vec A be a vector parallel to the line of intersection of pla...

    Text Solution

    |

  11. If vec a . vec b=beta and vec axx vec b= vec c ,then vec b is ((beta ...

    Text Solution

    |

  12. Let vec a , vec ba n d vec c be three non-coplanar vecrors and ve...

    Text Solution

    |

  13. Let vec aa n d vec b be mutually perpendicular unit vectors. Then ...

    Text Solution

    |

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

    Text Solution

    |

  15. Let vec aa n d vec b be unit vectors that are perpendicular to each ...

    Text Solution

    |

  16. Let vec r , vec a , vec ba n d vec c be four nonzero vectors such ...

    Text Solution

    |

  17. Let vec a=a1 hat i+a2 hat j+a3 hat k , vec b=b1 hat i+b2 hat j+b3 hat...

    Text Solution

    |

  18. If 4 vec a+5 vec b+9 vec c=0, then ( vec axx vec b)xx[( vec bxx vec c)...

    Text Solution

    |

  19. If vec a , vec b ,a n d vec c are such that [ vec a vec b vec c]=1, v...

    Text Solution

    |

  20. A vector of magnitude sqrt(2) coplanar with the vector vec a= hat i+ ...

    Text Solution

    |