Home
Class 12
MATHS
If (2hat(i)+6hat(j)+ 27hat(k))xx(hat(i)+...

If `(2hat(i)+6hat(j)+ 27hat(k))xx(hat(i)+phat(j)+qhat(k))=vec(0)`, then the values of p and q are ?

A

`p=6, q=27`

B

`p=3, q=(27)/(2)`

C

`p=6, q=(27)/(2)`

D

`p=3, q=27`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Objective Type Questions (B. Fill in the Blanks)|17 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Objective Type Questions (C. True/False Questions)|10 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (j) Long Answer Type Questions (II)|1 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Given vec(A)=2hat(i)+phat(j)+qhat(k) and vec(B)=5hat(i)+7hat(j)+3hat(k) . If vec(A)||vec(B) , then the values of p and q are, respectively,

If the vectors -3hat(i)+4hat(j)-2hat(k),hat(i)+2hat(k),hat(i)-phat(j) are coplanar, then the value of p is

Two vector vec(P) = 2hat(i) + bhat(j) + 2hat(k) and vec(Q) = hat(i) + hat(j) + hat(k) are perpendicular. The value of b will be :

If vec(a)=(2hat(i)+6hat(j)+27hat(k)) and vec(b)=(hat(i)+lambda(j)+mu hat(k)) are such that vec(a)xxvec(b)=vec(0) then find the values of lambda and mu .

If vec(A) = 3hat(i) - 4hat(j) + hat(k) and vec(B) = 4hat(j) + phat(i) + hat(k) for what value of p, vec(A) and vec(B) will ve collinear ?

If vectors vec(a)=hat(i)-2hat(j)+hat(k), vec(b)=-2hat(i)+4hat(j)+5hat(k) and vec(c )=hat(i)-6hat(j)-7hat(k) , then find the value of |vec(a)+vec(b)+vec(c )| .

If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+hat(j)+hat(k) are two vectors, then the unit vector is

vec(A)=(3hat(i)+2hat(j)-6hat(k)) and vec(B)=(hat(i)-2hat(j)+hat(k)) find the scalar product of vec(A) and vec(B) .

MODERN PUBLICATION-VECTOR ALGEBRA -Objective Type Questions (A. Multiple Choice Questions)
  1. The angle between the vectors hat i -hat j and hat j - hat k is

    Text Solution

    |

  2. The value of 'lambda' for which the two vectors : 2hat(i)-hat(j)+2hat(...

    Text Solution

    |

  3. If (2hat(i)+6hat(j)+ 27hat(k))xx(hat(i)+phat(j)+qhat(k))=vec(0), then ...

    Text Solution

    |

  4. If vec(a)=2hat(i)+3hat(j)-hat(k), then |vec(a)| is :

    Text Solution

    |

  5. Write the value of hat(i).(hat(j)xxhat(k))+hat(j).(hat(i)xxhat(k))+ha...

    Text Solution

    |

  6. For mutually perpendicular unit vectors hat(i), hat(j), hat(k), we hav...

    Text Solution

    |

  7. Direction - ratios of vector vec(a)=hat(i)+hat(j)-2hat(k) are :

    Text Solution

    |

  8. If vec(a)=hat(i)+2hat(j), then |vec(a)| is :

    Text Solution

    |

  9. Direction - cosines of vec(a)=hat(i)+hat(j)-2hat(k) are :

    Text Solution

    |

  10. If p hat(i)+3hat(j) is a vector of magnitude 5, then the value of p is...

    Text Solution

    |

  11. If is the angle between any two vectors vec a and vec b , t...

    Text Solution

    |

  12. The inequality |vec(a).vec(b)|le |vec(a)||vec(b)| is called :

    Text Solution

    |

  13. The vectors vec(a) and vec(b) are perpendicular if :

    Text Solution

    |

  14. Find the angle between two vectors vec a and vec b with magnitudes 1 a...

    Text Solution

    |

  15. Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=3\ a n d\ vec adot ve...

    Text Solution

    |

  16. The angle between the vectors : vec(a)=hat(i)+2hat(j)-3hat(k) and 3...

    Text Solution

    |

  17. The D.C.'s of the vector hat(i)+2hat(j)+3hat(k) are :

    Text Solution

    |

  18. If vec(a)=2hat(i)+2hat(j)+3hat(k), then its magnitude is :

    Text Solution

    |

  19. If vec(a) and vec(b) are unlike vectors, then the angle between them i...

    Text Solution

    |

  20. The angle between the vectors hat(i)-hat(j) and hat(j)+hat(k) is :

    Text Solution

    |