Home
Class 12
MATHS
Let veca= 2hati+hatj -2hatk and vecb=ha...

Let `veca= 2hati+hatj -2hatk and vecb=hati+hatj`. If `vec c` is a vector such that `veca*vec c=|vec c|, |vec c-veca|=2sqrt(2)` and the angle between `vec a xx vec b and vec c` is `30^(@)` then `|(veca xx vec b) xx vec c|` is equal to :

A

`2//3`

B

`3//2`

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -1 : CONCEPT BUILDER|60 Videos

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

Similar Questions

Explore conceptually related problems

Let vec a=2i+j-2ka n d vec b=i+jdot If vec c is a vector such that vec adot vec c=| vec c|,| vec c- vec a|=2sqrt(2) between vec axx vec b and vec ci s30^0,t h e n|( vec axx vec b)xx vec c| I equal to 2//3 b. 3//2"" c. 2 d. 3

Let veca = hati - 2 hatj + 2hatk and vec b = 2 hati - hatj + hatk be two vectors. If vec c is a vector such that vecb xx vec c = vec b xx vec a and vec c vec a = 1 , then vec c vec b is equal to :

Let veca=2hati-3hatj and vecb=3hati+2hatj. Is |veca|=|vecb|? Are the vectors vec a and vec b equal?

Angle between the vectors sqrt3(veca xx vec b) " and " vec b - (veca .vecb)veca is

For any three vectors vec a, vec b, vec c, (vec a-vec b) * (vec b-vec c) xx (vec c-vec a) is equal to

Let vec a=hati+2hatj-hatk , vec b=hati-hatj , vec c=hati-hatj-hatk ,and vecrxxveca = vecc xx veca , vecr*vecb=0 . Find vecr*veca

Let veca,vecb and vecc be three vectors such that |veca |=sqrt(3),|vec b|=5 , vec b .vec c = 10 and the angle between vec b and vec c is pi/3, if vec a is perpendicular to the vector vec b xx vec c, then | veca xx (vecbxxvecc)| is equal to __________.

Let veca=hat i-2 hat j+hat k, vecb=hat i-hat j+hat k and vec c is nonzero vector and vecb xx vec c= vec b xx vec a, vec a.vec c=0 . Find vecb.vec c .

vec b,vec c are unit vectors and |vec a|=7vec a xx(vec b xxvec c)+vec b xx(vec c xxvec a)=(1)/(2)vec a then the angle between vec a and vec a is

If (vec a xx vec b)^2 + (veca .vecb)^2 = 676 and |vecb| = 2 , then |veca| is equal to

DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -2 : CONCEPT APPLICATOR
  1. veca, vecb ,vec c are three vectors with magnitude |veca| = 4, |vecb|...

    Text Solution

    |

  2. If the two adjacent sides of two rectangles are represented by vect...

    Text Solution

    |

  3. OA, OB, OC are the sides of a rectangular parallelopiped whose diagona...

    Text Solution

    |

  4. If the positive numbers a, b and c are the pth, qth and rth terms of G...

    Text Solution

    |

  5. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

    Text Solution

    |

  6. Let vecOB = hati + 2hatj + 2hatk " and" vecOA = 4hati + 2hatj + 2hatk ...

    Text Solution

    |

  7. If a1 , a2 and a3 are three numbers satisfying a1^2 + a2^2 +a3^2 = 1 ,...

    Text Solution

    |

  8. Let veca , vecb and vec c be non coplanar unit vectors equally incl...

    Text Solution

    |

  9. Let veca , vecb, vec c be three non coplanar vectors , and let vecp ,...

    Text Solution

    |

  10. Let veca= 2hati+hatj -2hatk and vecb=hati+hatj. If vec c is a vecto...

    Text Solution

    |

  11. Let vec r , vec a , vec b and vec c be four non zero vectors such tha...

    Text Solution

    |

  12. Let vec r = (veca xx vecb) sin x + (vecb + vec c) cos y + 2 (vec c xx...

    Text Solution

    |

  13. A girl walks 4 km towards west, then she walks 3 km in a direction 30...

    Text Solution

    |

  14. If vec a+vec b+vec c=0, prove that (vec a xx vec b)=(vec b xx vec c)=(...

    Text Solution

    |

  15. If |vec a + vecb| = |vec a - vecb| , then which one of the following i...

    Text Solution

    |

  16. The resultant of forces vecP and vec Q is vecR . If vec Q is doubled t...

    Text Solution

    |

  17. If vec b is a vector whose initial point divides thejoin of 5 hat ...

    Text Solution

    |

  18. A body travels a distance s in t seconds. It starts from rest and ends...

    Text Solution

    |

  19. Two particles start simultaneously from the same point and move along ...

    Text Solution

    |

  20. vec p , vec q ,a n d vec r are three mutually perpendicular vectors of...

    Text Solution

    |