Home
Class 12
MATHS
If vec a =3 hat i -hat j +hat k, vec b...

If `vec a =3 hat i -hat j +hat k, vec b= hat i +3hat j - hat k and vec c =-hat i +hat j +3hat k`, state which of the following is meaningful and evaluate those that are meaningful : `(vec a* vec b) xx vec c, vec a xx(vec b xx vec c), (vec a xx vec b)* vec c`

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

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

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

If vec a =2 hat i + 2 hat j +3 hat k, vec b=-hat i + 2 hat j +hat k then vec a + vec b is

If vec a = hat i + hat j+ 2hat k and vec b =2 hat i+ hat j - 2 hat k , find vec a + vec b .

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

If vec a = 5hat i - hat j- 2hat k and vec b =5 hat i+ hat j - 2 hat k , find 3vec a - vec b .

If vec a = hat i + hat j+ 2hat k and vec b =2 hat i+ hat j - 2 hat k , find vec a - 2vec b .

If vec a = hat i + hat j+ 2hat k and vec b =2 hat i+ hat j - 2 hat k , find 2 vec a- vec b .

Find λ if vectors vec a = hat i +λ hat j +hat k, vec b= 2hat i -hat j-hat k and vec c =7 hat j +3hat k are coplanar.

If vec a= hat i- 2 hat j+ hat k , vec b= 2 hat i - hat j+ hat k and vec c= hat i+ hat j- 2 hat k , compute (vec a cross vec b)* vec c .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Show that the four points having position vectors 6 hat i-7 hat j, 16 ...

    Text Solution

    |

  2. Integrate the following int xlog3xdx

    Text Solution

    |

  3. If vec a =3 hat i -hat j +hat k, vec b= hat i +3hat j - hat k and ve...

    Text Solution

    |

  4. Integrate the following int dx/(x^2+10x+9)

    Text Solution

    |

  5. If vec a,vec b,vec c are any three vectors, prove that vec a xx (vec b...

    Text Solution

    |

  6. For any vector vec a, prove that hat i xx (vec a xx hat i)+ hat j xx (...

    Text Solution

    |

  7. If a,b and c are three non-zero vectors such that a*(bxxc)=0 and b and...

    Text Solution

    |

  8. Integrate the following int xcos5xdx

    Text Solution

    |

  9. What is the magnitude of a unit vector ?

    Text Solution

    |

  10. If vec a = x hat i +2 hat j - z hat k and vec b= 3 hat i- y hat j+hat ...

    Text Solution

    |

  11. Does |quad vec a|= |quad vec b| imply vec a= vec b?

    Text Solution

    |

  12. State whether the vectors hat i, hat j and hat k are coplanar or non-c...

    Text Solution

    |

  13. Integrate the following int dx/(1-secx)

    Text Solution

    |

  14. What is the cosine of the angle which the vector sqrt2 hat i+ hat j +h...

    Text Solution

    |

  15. Find p if the vectors 2 hat i +3 hat j + 6 hat k and p hat i+2 hat j-...

    Text Solution

    |

  16. Find λ if the vector λ (hat i+ hat j+ hat k) is a unit vector.

    Text Solution

    |

  17. If vec a and vec b are non-zero vectors and the angle θ between them i...

    Text Solution

    |

  18. Write a vector of magnitude 9 units in the direction vector -2hat(i)+h...

    Text Solution

    |

  19. If θ is the angle between two non-zero vectors vec a and vec b , then ...

    Text Solution

    |

  20. If the vectors 3hat i+2 hat j+9 hat k and hat i-2p hat j+3 hat k are p...

    Text Solution

    |