Home
Class 12
MATHS
If ( vec axx vec b)^2+( vec adot vec b)^...

If `( vec axx vec b)^2+( vec adot vec b)^2=144a n d| vec a|=4,` then find the value of `| vec b|dot`

A

3

B

8

C

12

D

16

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE) |20 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS ) |3 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

(vec a xxvec b)^(2)+(vec a*vec b)^(2)=144 and |vec a|=4 then find the value of |vec b|

If | vec axx vec b|^2=( vec adot vec b)^2=144\ a n d\ | vec a|=4 , find vec bdot

if (vec axvec b) ^ (2) + (vec a * vec b) ^ (2) = 144, | vec a | = 4 then | vec b | =

If |vec a|=2|vec b|=5 and |vec a xxvec b|=8, then find the value of vec a.vec b.

If vec rdot vec a=0, vec rdot vec b=1a n d[ vec r vec a vec b]=1, vec adot vec b!=0,( vec adot vec b)^2-=| vec a|^2| vec b|^2=1, then find vec r in terms of vec aa n d vec bdot

If vec a, vec b and vec c are perpendicular to vec b + vec c, vec c + vec a, vec a + vec b respectively and if | vec a + vec b | = 6, | vec b + vec c | = 8 and | vec c + vec a | = 10 then find the value of vec a + vec b + vec c

(vec a-vec b) * (vec a + vec b) = 27 and | vec a | = 2 | vec b | find | vec a | and | vec b |

If two vectors vec a and vec b are such that |vec a|=2,|vec b|=1 and vec avec b=1, then find rthe value of (3vec a-5vec b)2vec a+7vec b

Let vec a , vec b , vec c are three vectors , such that vec a + vec b + vec c = vec 0 .If , |vec a|=3 , |vec b|=4 and | vec c|=5 , then the value of, |vec a+vec b|^(2) + |vec b-vec c|^(2) + |vec c+vec a|^(2) , equal to :

If vec aa n d vec b are two vectors and angle between them is theta, then | vec axx vec b|^2+( vec adot vec b)^2=| vec a|^2| vec b|^2 | vec axx vec b|=( vec adot vec b),iftheta=pi//4 vec axx vec b=( vec adot vec b) hat n ,(w h e r e hat n is unit vector,) if theta=pi//4 ( vec axx vec b)dot( vec a+ vec b)=0

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If |a| = |b| = |a + b| = 1, then |a-b| is equal to

    Text Solution

    |

  2. If all the vectors a, b, c, a + b, b + c and a + b +c be unit vectors...

    Text Solution

    |

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

    Text Solution

    |

  4. In a right angled triangle ABC, the hypotenuse AB =p, then vec(AB).vec...

    Text Solution

    |

  5. The vector 3i-2j+k,i-3j+5k and 2i+j-4k form the sides of a triangle, T...

    Text Solution

    |

  6. The three vectors 7i-11j+k, 5i+3j-2k and 12i-8j-k form

    Text Solution

    |

  7. Values of a for which the points A, B, C with position vectors 2i - j+...

    Text Solution

    |

  8. A unit vector a makes an angle pi//4 with z-axis and if a + i+j is a u...

    Text Solution

    |

  9. A unit vector in xy-plane that makes an angle of 45^0 with the vector ...

    Text Solution

    |

  10. If a = i+j-k,b=i-j+k and c is aunit vector perpendicular to the vector...

    Text Solution

    |

  11. If a=-i+j+k and b =2i+0j+k, then the vector c satisfying the conditio...

    Text Solution

    |

  12. If a = 1, -1, 1, a. b =0, a xx b = c, where c = -2, -1, 1 then the vec...

    Text Solution

    |

  13. Let bar(a)=hat j-hat k and bar(c)=hat i-hat j-hat k then the vector ba...

    Text Solution

    |

  14. If vec a is a vector of magnitude 50 and parallel to vec b= 6 vec i - ...

    Text Solution

    |

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

    Text Solution

    |

  16. Let vec(u) = hat(i) + hat(j), vec(v) = hat(i) - hat(j) and vec(w) = h...

    Text Solution

    |

  17. A unit vector perpendicular to the vector -bar(i)+2bar(j)+2bar(k) and...

    Text Solution

    |

  18. The vectors a, b and c are of the same length and taken pairwise, they...

    Text Solution

    |

  19. The vector a, b, c are equal in length and taken pairwise they mak equ...

    Text Solution

    |

  20. The vector r satisfying the conditions that I. it is perrpendicular ...

    Text Solution

    |