Home
Class 12
MATHS
Let A,B and C be the unit vectors . Sup...

Let A,B and C be the unit vectors . Suppose that A.B=A.C =0 and the angle between B and C is `(pi)/(6)` then prove that `A = +-2(BxxC)`

Text Solution

Verified by Experts

The correct Answer is:
`pm2(btimesc)`
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 1|13 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Let A,B and C be unit vectors. Suppose A*B=A*C=0 and the angle betweenn B and C is (pi)/(4) . Then,

Let vec A,vec B,vec C be unit vectors suppose that vec A*vec B=vec A*vec C=0 and angle between vec B and vec C is (pi)/(6) then vec A=k(vec B xxvec C) and k=

Let vec(A), vec(B) and vec(C) , be unit vectors. Suppose that vec(A).vec(B)=vec(A).vec(C)=0 and the angle between vec(B) and vec(C) is pi/6 then

If vec a,vec b and vec c are three unit vectors such that vec a*vec b=vec a*vec c=0 and angle between vec b and vec c is (pi)/(6) prove that vec a=+-2(vec b xxvec c)

Let vec a,vec b,vec c be unit vectors such that vec a*vec b=vec a*vec c=0 and the angle between vec b and vec c is (pi)/(6), that vec a=+-2(vec b xxvec c)

If A.B and C are three points on a line,and B lies between A and C then prove that AB-BC=AC

If a, b and c are three unit vectors satisfying 2a times(a timesb)+c=0 then the acute angle between a and b is

Let bar(a),bar(b),bar(c) be unit vectors such that bar(a)*bar(b)=bar(a).bar(c)=0 and the angle between bar(b) and bar(c) is (pi)/(6) if bar(a)=n(bar(b)xxbar(c)), then value of n is

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise For Session 2
  1. Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat ka n d vec b=3 ...

    Text Solution

    |

  2. Find the values of gamma and mu for which (2hati+6hatj+27hatk)xx(hati+...

    Text Solution

    |

  3. If a=2hat(i)+3hat(j)-hat(k), b=-hat(i)+2hat(j)-4hat(k), c=hat(i)+hat(j...

    Text Solution

    |

  4. Prove that ( vec adot hat i)( vec axx hat i)+( vec adotj)( vec axx hat...

    Text Solution

    |

  5. If vecaxxvecb=veccxxvecd and vecaxxvecc=vecbxxvecd then show that veca...

    Text Solution

    |

  6. If ( vec axx vec b)^2+( vec adot vec b)^2=144a n d| vec a|=4, then fin...

    Text Solution

    |

  7. If |a|=2,|b|=7 and vec ax vec b=3 hat i+2 hat j+6 hat k , find the...

    Text Solution

    |

  8. Let the vectors vec aa n d vec b be such that | vec a|=3| vec b|=(sqr...

    Text Solution

    |

  9. If |veca|=sqrt(26), |vecb|=7 and |vecaxxvecb|=35, find veca.vecb

    Text Solution

    |

  10. Find a unit vector perpendicular to the plane of two vectors a=hat(i)-...

    Text Solution

    |

  11. Find a vector of magnitude 15, which is perpendicular to both the vect...

    Text Solution

    |

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

    Text Solution

    |

  13. Let A,B and C be the unit vectors . Suppose that A.B=A.C =0 and the a...

    Text Solution

    |

  14. Find the area of the triangle whose adjacent sides are determined by t...

    Text Solution

    |

  15. Find the area of parallelogram whose adjacent sides are represented by...

    Text Solution

    |

  16. What is the area of the parallelogram having diagonals 3hat(i) + hat(j...

    Text Solution

    |

  17. A force F=2hat(i)+hat(j)-hat(k) acts at point A whose position vector...

    Text Solution

    |

  18. Find the moment of vec F about point (2, -1, 3), where force vec ...

    Text Solution

    |

  19. Forces 2hat(i)+hat(j), 2hat(i)-3hat(j)+6hat(k) and hat(i)+2hat(j)-hat(...

    Text Solution

    |