Home
Class 11
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

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE ENGLISH|Exercise All Questions|173 Videos

  • PROBABILITY

    CENGAGE ENGLISH|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Find the magnitude of vector vec a=(3 hat k+4 hat j)xx( hat i+ hat j- hat k)dot

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

Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on the vector vec b=2 hat i+2 hat j+ hat k .

Write the value of p for which vec a=3 hat i+2 hat j+9 hat k\ a n d\ vec b= hat i+p hat j+3 hat k are parallel vectors.

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

Find the value of ' p ' for which the vectors 3 hat i+2 hat j+9 hat k\ a n d\ hat i-2p hat j+3 hat k are parallel.

Find the projection of the vector vec(P) = 2hat(i) - 3hat(j) + 6 hat(k) on the vector vec(Q) = hat(i) + 2hat(j) + 2hat(k)

For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + hat j - hat k , find the unit vector in the direction of the vector vec a + vec b .

The projection of the vector hat i+ hat j+ hat k along the vector of hat j is 1 b. 0 c. 2 d. -1 e. -2

Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b= hat i+2 hat j-4 hat kdot Find the unit vector in the direction of the resultant vector.

CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards...

    Text Solution

    |

  2. In how many ways, two different natural numbers can be selected, which...

    Text Solution

    |

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

    Text Solution

    |

  4. The number of ways of selecting 10 balls from unlimited number of red,...

    Text Solution

    |

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

    Text Solution

    |

  6. There are 5 historical monuments, 6 gardens, and 7 shopping malls in a...

    Text Solution

    |

  7. Let n1ltn2ltn3ltn4ltn5 be positive integers such that n1+n2+n3+n4+n5="...

    Text Solution

    |

  8. In an election, the number of candidates exceeds the number to be e...

    Text Solution

    |

  9. A rectangle with sides of lengths (2n-1) and (2m-1) units is divided ...

    Text Solution

    |

  10. Find the number of odd proper divisors of 3^pxx6^mxx21^ndot

    Text Solution

    |

  11. lf r, s, t are prime numbers and p, q are the positive integers such t...

    Text Solution

    |

  12. Find the number of divisors of 720. How many of these are even? Also f...

    Text Solution

    |

  13. In an examination of nine papers, a candidate has to pass in more pa...

    Text Solution

    |

  14. How many different signals can be given using any number of flags from...

    Text Solution

    |

  15. A student is allowed to select at most n books from a collection of (2...

    Text Solution

    |

  16. In how many ways can 6 persons stand in a queue?

    Text Solution

    |

  17. In an election, the number of candidates is one greater than the per...

    Text Solution

    |

  18. Out of 10 white, 9 black, and 7 red balls, find the number of ways in ...

    Text Solution

    |

  19. Two players P1a n dP2 play a series of 2n games. Each game can re...

    Text Solution

    |

  20. Find the number of ways in which 8 different flowered can be strung to...

    Text Solution

    |