Home
Class 12
MATHS
The value of hati.(hatj xx hatk)+hatj.(h...

The value of `hati.(hatj xx hatk)+hatj.(hati xx hatk)+hatk.(hati xx hatj)` is a)0 b)-1 c)1 d)3

A

0

B

-1

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

A unit vector coplanar with hati + hatj + 2 hatk and hati + 2 hatj + hatk, and perpendicular to hati + hatj + hatk is : a) ((hatj - hatk )/( sqrt2)) b) ((hati + hatj+ hatk )/( sqrt3)) c) ((hati + hatj + 2 hatk )/( sqrt6)) d) ((hati + 2 hatj + hatk )/( sqrt6))

The values of a so that the vectors a hati +(a-1) hatj + 3hatk and (a+2) hati +a hatj -2hatk are perpendicular are

If the vectors 2hati + 2hatj + 6hatk, 2hati + 6hatj + 2hatk+ lambdahatj+6hatk and 2hati - 3hatj + hatk are coplanar, then the value of lambda is

Find the position vector of the point where the line vec r = hati - hatj +hatk + t (hati + hatj -hatk ) meets the plane vecr. (hati + hatj + hatk ) =5

Show that the points A(-2 hati+3 hatj+5 hatk) , B(hati+2 hatj+3 hatk) and C(7 hati-hatk) are collinear.

Find the angle between the following pairs of lines: i) vecr=2 hati-5 hatj+hatk+lambda(3 hati+2 hatj+6 hatk) and vecr=7 hati-6 hatk+mu(hati+2 hatj+2 hatk) (ii) vecr=3 hati+hatj-2 hatk+lambda(hati-hatj-2 hatk) and vecr=2 hati-hatj-5 6 hatk+mu(3 hati-5 hatj-4 hatk)

Show that the vectors 2 hati-hatj+hatk, hati-3 hatj-5 hatk and 3 hati-4 hatj-4 hatk form the vertices of a right-angled triangle.

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Choose the correct answer. If theta is the angle between two vectors v...

    Text Solution

    |

  2. Let 'veca' and 'vecb' be two unit vectors and 'theta' is the angle bet...

    Text Solution

    |

  3. The value of hati.(hatj xx hatk)+hatj.(hati xx hatk)+hatk.(hati xx hat...

    Text Solution

    |

  4. If theta is the angle between any two vectors veca and vecb, then |vec...

    Text Solution

    |

  5. Prove that the Iine joining the midpoints of the two sides of a triang...

    Text Solution

    |

  6. Find the projection of vector hati-hatj on the vector hati+hatj

    Text Solution

    |

  7. Show that the line segment joining the midpoints of two 'sides of a t...

    Text Solution

    |

  8. If P=(2,4,7) and Q=(-4,-1,5), then find bar(PQ) and |bar(PQ)|

    Text Solution

    |

  9. i) Compute |hati+hatj+hatk| ii) If veca=2 hati+3 hatj+6 hatk, find th...

    Text Solution

    |

  10. Find a vector in the direction of the vector '-hati+2 hatj+2 hatk' tha...

    Text Solution

    |

  11. Find a unit vector parallel to the sum of vectors veca=2 hati+4 hatj-5...

    Text Solution

    |

  12. Find the condition that the vectors veca=k hati+3 hatj and vecb=4 hati...

    Text Solution

    |

  13. Lẹt 0 be the centre of the regular hexagon ABCDEF. Find the sum of the...

    Text Solution

    |

  14. Show that the diagonals of a quadrilateral bịsect each other if and on...

    Text Solution

    |

  15. Prove that the quadrilatral formed by joining the mid points of the si...

    Text Solution

    |

  16. Find the vector with initial point 'A(6,-2)' and terminal point 'B(4,8...

    Text Solution

    |

  17. The vectors of magnitude a, 2a, 3a meet at a point and their direction...

    Text Solution

    |

  18. Find the unit vector in the direction of vector 'vecP Q', where 'P' an...

    Text Solution

    |

  19. Find the còndition that the vectors veca=k hati+l hatj and vecb=l hati...

    Text Solution

    |

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

    Text Solution

    |