Home
Class 12
MATHS
If (hat i, hat j, hat k) are the usual t...

If `(hat i, hat j, hat k)` are the usual three perpendicular unit vectors, then the value of `hat i*( hat j xx hat k)+ hat j*(hat i xx hat k)+ hat k*(hat i xx hat j)` is

A

0

B

-1

C

1

D

3

Text Solution

Verified by Experts

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

Write the value of: (hat i . (hat j xx hat k) + hat j (hat i xx hat k ) + hat k . (hat I xx hat j)

Write the value of: (hat i . (hat j xx hat k) + hat j (hat k xx hat i ) + hat k . (hat j xx hat i)

Find the magnitude of vec a=(hat i+3 hat j- 2 hat k)*(-hat i+3 hat k) .

Find a unit vector perpendicular to both the vectors (3 hat i + 2 hat j - hat k) and ( hat i + 2 hat j + hat k) .

(hat i+hatj) xx (hat j+ hatk)*(hat k+ hat i) is equal to

Find the angle between the vectors 2 hat i -hat j+ hat k and 3 hat i +4hat j - hat k

Find a unit vector perpendicular to both the vectors 4 hat i-hat j+3 hat k and -2 hat i+hat j-2 hat k .

Find a unit vector perpendicular to both the vectors hat i-2 hat j+3 hat k and hat i+2 hat j-hat k .

Find the angle between the vectors hat i + hat j-hat k and hat i-hat j+hat k .

Find the projection (vector) of the vector 7 hat i+ hat j- 4 hat k on 7 hat i+ hat j- 3 hat k .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If θ is the angle between two vectors vec a and vec b, then vec a*vec ...

    Text Solution

    |

  2. Let vec a and vec b be two unit vectors and θ is the angle between the...

    Text Solution

    |

  3. If (hat i, hat j, hat k) are the usual three perpendicular unit vector...

    Text Solution

    |

  4. If theta is the angle between any two vectors vec(a) and vec(b), "then...

    Text Solution

    |

  5. If vec a is a non-zero vector, then (1/|vec a|) vec a is a..........

    Text Solution

    |

  6. If vec a, vecb are non-collinear vectors, then vec a, vecb and vec a +...

    Text Solution

    |

  7. The vector veca+vecb bisects the angle between the non collinear vecto...

    Text Solution

    |

  8. If vec r* vec a =0 = vec r* vec b ,where vec a and vec b are non-copla...

    Text Solution

    |

  9. If vec r* vec a =0 = vec r* vec b =0 and also vec r* vec c =0 for som...

    Text Solution

    |

  10. If vec a and vec b are any two vectors, then (vec a xx vec b)^2 +(vec ...

    Text Solution

    |

  11. If vec a is any non-zero vector, then (vec a*hat i)hat i + (vec a*hat ...

    Text Solution

    |

  12. If a is any vector, then (a xxhati)^(2)+(axx hatj)^(2)+(axxhatk)^(2)...

    Text Solution

    |

  13. If (atimesb)^(2)+(a*b)^(2)=144 and |a|=4, then find the value of |b|.

    Text Solution

    |

  14. If a non-zero vector vec a makes an angle α with positive direction o...

    Text Solution

    |

  15. The values of k, for which |k vec a| lt |vec a| and k vec a =1/2 vec a...

    Text Solution

    |

  16. The vectors vec a=3 hat i+2 hat j+2hat k and vec b=-hat i +2hat k are ...

    Text Solution

    |

  17. If vec a and vec b are any two vectors, then (vec a+ vec b)^2 +(vec a-...

    Text Solution

    |

  18. If vec(a) + vec(b) + vec(c) = 0 and |vec(a)| = 3, |vec(b)| = 5, |vec(c...

    Text Solution

    |

  19. If vec a is a non-zero vector and λ is a real number st. |λ vec a|= 1,...

    Text Solution

    |

  20. If the vectors vec a, vec b, vec c are coplanar then (vec a xx vec b)*...

    Text Solution

    |