Home
Class 12
MATHS
Consider the set of eight vector V={a ha...

Consider the set of eight vector `V={a hat i+b hat j+c hat k ; a ,bc in {-1,1}}dot` Three non-coplanar vectors can be chosen from `V` is `2^p` ways. Then `p` is_______.

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE -4 LEVEL -I|13 Videos
  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 4|14 Videos
  • THREE DIMENSIONAL GEOMETRY (3 -D)

    MOTION|Exercise SOLVED EXAMPLE|33 Videos

Similar Questions

Explore conceptually related problems

Consider the set of eight vector V={ahat i+bhat j+chat k;a,bc in{-1,1}} Three non-coplanar vectors can be chosen from V is 2^(p) ways.Then p is

For what value of p, is (hat i+hat j+hat k)p a unit vector?

The value of p so that vectors 2hat i-hat j+hat k , hat i+2hat j-3hat k and 3hat i+phat j+5hat k are coplanar is

Given, two vectors are hat(i)-hat(j) and hat(i)+2hat(j) , the unit vector coplanar with the two vectors and perpendicular to first is

Given three coplanar vectors vec A = 2 hat I - hat j , magnitude of the sum of three vectors.

If the vectors 2a hat i+b hat j+c hat k ,b hat i+c hat j+2a hat ka n dc hat i+2a hat j+b hat k are coplanar vectors and a ,b!=c in R , then straight lines a x+b y+c=0 always pass through: (1,2) b. (2-1) c. (2,1) d. (1,-2)

Two vectors P=2hat I +bhat j +2hat k and Q=hat i+hat j+hat k will be parallel if :

If vec V_(1)=hat i+hat j+hat k;vec V_(2)=ahat i+bhat j+chat k where a,b,c in{-2,-1,0,1,2} then the number of non-zero vectors vec V_(2) which perpendicular to (vec V_(1))/(18) is

The unit vector which is orthogonal to the vector 3hat i+2hat j+6hat k and is coplanar with the vectors 2hat i+hat j+hat k and hat i-hat j+hat k is

MOTION-THEORY AND EXERCISE BOOK-EXERCISE - 4 (LEVEL -II)
  1. Using permutation or otherwise, prove that (n^2)!/(n!)^n is an integer...

    Text Solution

    |

  2. r, s, t are prime numbers and p, q are natural numbers such that LCM o...

    Text Solution

    |

  3. The letters of the word COCHIN are permuted and all the permutation...

    Text Solution

    |

  4. Consider all possible permutations of the letters of the word ENDEANOE...

    Text Solution

    |

  5. The number of seven digit integers, with sum of the digits equal to 10...

    Text Solution

    |

  6. Let S={1,,2,34} . The total number of unordered pairs of disjoint s...

    Text Solution

    |

  7. The total number of ways in which 5 balls of differ- ent colours can b...

    Text Solution

    |

  8. Let a(n) denote the number of all n-digit numbers formed by the digits...

    Text Solution

    |

  9. Let a(n) denote the number of all n-digit numbers formed by the digits...

    Text Solution

    |

  10. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

    Text Solution

    |

  11. A pack contains n cards numbered from 1 to n. Two consecutive numbered...

    Text Solution

    |

  12. Let ngeq2 be integer. Take n distinct points on a circle and join each...

    Text Solution

    |

  13. Let n1<n2<n3<n4<n5 be positive integers such that n1+n2+n3+n4+n5=20...

    Text Solution

    |

  14. Let n be the number of ways in which 5 boys and 5 girls can stand in a...

    Text Solution

    |

  15. A debate club consists of 6 girls and 4 boys. A team of 4 members is t...

    Text Solution

    |

  16. How many 3xx3 matrices M with entries from {0,1,2} are there, for whic...

    Text Solution

    |

  17. Word of length 10 are formed using the letters A,B,C,D,E,F,G,H,I,J....

    Text Solution

    |

  18. In a high school, a commintee has to be formed from a group of 6 boys ...

    Text Solution

    |

  19. The number of 5 digit numbers which are divisible by 4, with digits ...

    Text Solution

    |

  20. Let X=(\ ^(10)C1)^2+2(\ ^(10)C2)^2+3(\ ^(10)C3)^2+\ ddot\ +10(\ ^(10)C...

    Text Solution

    |