Home
Class 12
MATHS
Let vec a= hat i+4 hat j+2 hat k , vec ...

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.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

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

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos

  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

Let vec a= hat i+4 hat j+2 hat k ,\ vec b=3 hat i-2 hat j+7 hat k\ a 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.

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

Let vec a= hat i+4 hat j+2 hat k ,\ \ vec b=3 hat i-\ 2 hat j+7 hat k and vec c=2 hat i-\ hat j+4 hat k . Find a vector vec d which is perpendicular to both vec a and vec b and vec c . vec d =18.

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

Let vec a= hat i-\ hat j ,\ vec b=3 hat j-\ hat k and vec c=7 hat i-\ hat kdot Find a vector vec d which is perpendicular to both hat a and vec b , and vec c . vec d=1

Let vec a= hat i- hat j ,\ vec b=3 hat j- hat k\ a n d\ vec c=7 hat i- hat kdot\ Find a vector vec d which is perpendicular to both vec a\ a n d\ vec b ,\ a n d\ vec c dot vec d=1.

Let vec(a)=hat(i)+4 hat(j)+2hat(k), vec(b)=3 hat(i)-2 hat(j)+7 hat(k) and vec(c)=2hat(i)-hat(j)+4hat(k) . Find a vector vec(p) which is perpendicular to both vec(a) and vec(b) and vec(p). vec(c)=18 .

If vec a=2 hat i- hat j+ hat k ,\ vec b= hat i+ hat j-2 hat k\ a n d\ vec c= hat i+3 hat j- hat k ,\ fin d\ lambda such that vec a is perpendicular to lambda vec b + vec c

If vec a= hat i+ hat j+ hat k ,\ vec b=2 hat i- hat j+3 hat k\ a n d\ vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec c

Find vec adot vec b when: vec a= hat i-2 hat j+ hat k\ a n d\ vec b=4 hat i-4 hat j+7 hat k

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. Let the vectors vec a and vec b be such that | vec a|=3 and | vec b|=...

    Text Solution

    |

  2. Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

    Text Solution

    |

  3. Let vec a= hat i+4 hat j+2 hat k , vec b=3 hat i-2 hat j+7 hat ka n d...

    Text Solution

    |

  4. If A ,Ba n dC are the vetices of a triangle A B C , then prove sine...

    Text Solution

    |

  5. Using cross product of vectors , prove that (sin A+B)-sin A cosB + cos...

    Text Solution

    |

  6. Find a unit vector perpendicular to the plane determined by the poin...

    Text Solution

    |

  7. If vec a and vec b are two vectors, then prove that ( vec axx vec b...

    Text Solution

    |

  8. In isosceles triangles A B C ,| vec A B|=| vec B C|=8, a point E divid...

    Text Solution

    |

  9. Prove that in a tetrahedron if two pairs of opposite edges are perp...

    Text Solution

    |

  10. Let vec a , vec b , and vec c are vectors such that | vec a|=3,| vec ...

    Text Solution

    |

  11. If | vec a|=| vec b|=| vec a+ vec b|=1, then find the value of | vec a...

    Text Solution

    |

  12. If vec A=4 hat i+6 hat ja n d vec B=3 hat j+4 hat k , then find the c...

    Text Solution

    |

  13. A particle acted by constant forces 4 hat i+ hat j-3 hat k and 3 hat...

    Text Solution

    |

  14. If veca , vecb , vecc are three mutually perpendicular unit ve...

    Text Solution

    |

  15. Let vec a=x hat i+12 hat j- hat k , vec b=2 hat i+2x hat j+ hat ka n ...

    Text Solution

    |

  16. If vec a , vec b ,a n d vec c are three non-coplanar vectors, then ...

    Text Solution

    |

  17. If vec a , vec b , vec ca n d vec d are the position vectors of the...

    Text Solution

    |

  18. The position vectors of the vertices of a quadrilateral with A as o...

    Text Solution

    |

  19. If vec axx vec b= vec cxx vec da n d vec axx vec c= vec bxx vec d , t...

    Text Solution

    |

  20. Show by a numerical example and geometrically also that vec axx ve...

    Text Solution

    |