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

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 cdot vec d=15.`

Text Solution

Verified by Experts

The correct Answer is:
Refer Example 60
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise UNIT TEST|7 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|27 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise ADDITIONAL QUESTIONS FOR PRACTICE 10.5|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

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

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat ka n d vec b=3 hat i-2 hat j+2 hat kdot

If vec a= 3 hat i +2 hat j -hatk, vec b= hat i - 2 hat j + 3 hat k , vec c = 4 hat i +3 hat j -hat k Find vec a * (vec b xx vec c).

Find vec a . vec b , when vec a = hat i +3 hat j + hat k and vec b = 2 hat i - hat j - hat k

If vec a = hat i + hat j + hat k , vec b = 2 hat i - hat j + 3 hat k and vec c = hat i - 2 hat j + hat k , find a unit vector parallel to the vector 2 veca - vec b + 3 vec c

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

Find vec a . vec b , When vec a = 2 hat i +2 hat j - hat k and vec b = 6 hat i -3 hat j +2 hat k

Let vec a = hat i + hat j + hat k, vec b = hat i - hat j + 2 hat k and vec c = x hat i +(x -2) hat j - hatk .If the vector vec c lies in the plane of veca and vecb , thenx equals

Find vec a . vec b , When vec a = hat i + hat j + 2 hat k and vec b = 3 hat i +2 hat j - hat k

Find vec a . vec b , When vec a = hat i + hat j - 2 hat k and vec b = 3 hat i +2 hat j + hat k

NEW JOYTHI PUBLICATION-VECTOR ALGEBRA-SOLUTION TO EXERCISE MISCELLANEOUS EXERCISE
  1. Write down a unit vector in XY - plane making an angle of 30^(@) with ...

    Text Solution

    |

  2. Find the scalar components and magnitude of the vector joining the poi...

    Text Solution

    |

  3. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

    Text Solution

    |

  4. If veca = vec b+ vec c, then is it true that |veca| = |vec b| + |vec ...

    Text Solution

    |

  5. Find the value of x for which x (hat i + hat j + hat k) is a unit vect...

    Text Solution

    |

  6. Find a vector of magnitude 5 units, and parallel to the resultant of t...

    Text Solution

    |

  7. If vec a = hat i + hat j + hat k, vec b = 2 hat i - hat j + 3 hat k an...

    Text Solution

    |

  8. Show that the points A(1, -2, -8) B (5, 0, -2) and C(11, 3, 7) are col...

    Text Solution

    |

  9. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  10. The two adjacent sides of a parallelogram are 2 hat i - 4 hat j + 5 ha...

    Text Solution

    |

  11. Show that the direction cosines of a vector equally inclined to the ax...

    Text Solution

    |

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

    Text Solution

    |

  13. Thescalar product of the vector hat i + hat j + hat k with a unit vect...

    Text Solution

    |

  14. If vec a , vec b , vec c are mutually perpenedicular vectors of eq...

    Text Solution

    |

  15. Prove that (vec a + vec b).(vec a + vec b) = | vec a|^(2) + |vec b|^(2...

    Text Solution

    |

  16. If theta is the angle between two vectors vec a and vec b, then veca. ...

    Text Solution

    |

  17. If vec a\ a n d\ vec b be two unit vectors and theta is the angle be...

    Text Solution

    |