Home
Class 12
MATHS
The value of hat i *( hat jxx hat k)+ ...

The value of ` hat i *( hat jxx hat k)+ hat j*( hat ixx hat k)+ hat k*( hat ixx hat j)`is
`(A) 0`
`(B) 1`
`(C) 1`
`(D) 3`

Text Solution

AI Generated Solution

To solve the problem, we need to evaluate the expression: \[ \hat{i} \cdot (\hat{j} \times \hat{k}) + \hat{j} \cdot (\hat{i} \times \hat{k}) + \hat{k} \cdot (\hat{i} \times \hat{j}) \] ### Step 1: Calculate \(\hat{j} \times \hat{k}\) Using the right-hand rule for the cross product: ...
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT ENGLISH|Exercise Exercise 10.5|7 Videos
  • VECTOR ALGEBRA

    NCERT ENGLISH|Exercise EXERCISE 10.1|5 Videos
  • THREE DIMENSIONAL GEOMETRY

    NCERT ENGLISH|Exercise EXERCISE 11.3|14 Videos
NCERT ENGLISH-VECTOR ALGEBRA-MISCELLANEOUS EXERCISE
  1. If theta is the angle between any two vectors veca and vec b, then...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Write down a unit vector in XY-plane, making an angle of 30° with the...

    Text Solution

    |

  5. A girl walks 4 km towards west, and then she walks 3 km in a direction...

    Text Solution

    |

  6. Find the scalar components and magnitude of the vector joining the po...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. The scalar product of the vector hat i+ hat j+ hat kwith a unit vect...

    Text Solution

    |

  10. If theta is the angle between two vectors veca and vecb, then veca...

    Text Solution

    |

  11. Let veca and vecb be two unit vectors and is the angle between th...

    Text Solution

    |

  12. If -> a , -> b , -> care mutually perpendicular vectors of equal ma...

    Text Solution

    |

  13. Prove that (veca+ vecb)*( veca+ vecb)=|veca|^2+| vecb|^2, if and only ...

    Text Solution

    |

  14. The value of hat i *( hat jxx hat k)+ hat j*( hat ixx hat k)+ hat k*...

    Text Solution

    |

  15. यदि veca= vecb + vecc, तब क्या यह सत्य है कि | |veca| = |vecb| +|vecc|...

    Text Solution

    |

  16. Find the position vector of a point R which divides the line joinin...

    Text Solution

    |

  17. If veca= hat i+ hat j+ hat k, vecb=2 hat i- hat j+3 hat k and vecc...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |