Home
Class 12
MATHS
If the vectors a=hat(i)-hat(j)+2hat(k), ...

If the vectors `a=hat(i)-hat(j)+2hat(k), b=2hat(i)+4hat(j)+hat(k) and c=lambdahat(i)+hat(j)+muhat(k)` are mutually orthogonal, then `(lambda, mu)` is equal to

A

`(-3,2),(3,-2)`

B

`(2,-3)`

C

`(-2,3)`

D

`(3,-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|36 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (INTEGER TYPE)|4 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

Show that the vectors hat(i)-hat(j)-6hat(k),hat(i)-3hat(j)+4hat(k)and2hat(i)-5hat(j)+3hat(k) are coplanar.

If a=hat(i)+2hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=hat(i)+3hat(j)-hat(k) , then atimes(btimesc) is equal to

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+hat(j)+chat(k) , where a, b, c are coplanar, then a+b+c-abc=

The vectors 3 hat(i)- hat(j) + 2 hat(k) , 2 hat(i) + hat(j) + 3 hat(k) and hat(i) + lambdahat(j) - hat(k) are coplanar if the value of lambda is (i) -2 (ii) 0 (iii) 2 (iv) any real number

Show that the vectors 2hat(i)-hat(j)+hat(k) and hat(i)-3hat(j)-5hat(k) are at right angles.

Examine whether the vectors a=2hat(i)+3hat(j)+2hat(k), b=hat(i)-hat(j)+2hat(k) and c=4hat(i)+2hat(j)+4hat(k) form a left handed or a right handed system.

Find the unit vector perpendicular to both 2hat(i) + 3hat(j)+ hat(k) and hat(i)-hat(j)+ 4hat(k)

If vector hat(i) - 3hat(j) + 5hat(k) and hat(i) - 3 hat(j) - a hat(k) are equal vectors, then the value of a is :

Three vectors vec(A) = 2hat(i) - hat(j) + hat(k), vec(B) = hat(i) - 3hat(j) - 5hat(k) , and vec(C ) = 3hat(i) - 4hat(j) - 4hat(k) are sides of an :

VMC MODULES ENGLISH-VECTORS -JEE MAIN (ARCHIVE)
  1. If veca, vecb and vecc are three non-zero vectors, no two of which are...

    Text Solution

    |

  2. Let a=hat(j)-hat(k) and b=hat(i)-hat(j)-hat(k). Then, the vector v sat...

    Text Solution

    |

  3. If the vectors a=hat(i)-hat(j)+2hat(k), b=2hat(i)+4hat(j)+hat(k) and c...

    Text Solution

    |

  4. If u, v and w are non-coplanar vectors and p, q are real numbers, then...

    Text Solution

    |

  5. The vectors a=alphahat(i)+2hat(j)+betahat(k) lies in the plane of the ...

    Text Solution

    |

  6. The non-zero vectors veca, vecb and vecc are related by veca=8vecb and...

    Text Solution

    |

  7. If vecu and vecv are unit vectors and theta is the acute angle bet...

    Text Solution

    |

  8. Let veca=hati+hatj+hatk, vecb=hati-hatj+hat2k and vecc=xhati+(x-2)hatj...

    Text Solution

    |

  9. If (veca xx vecb)xx vec c=veca xx (vecb xx vec c), where veca, vecb a...

    Text Solution

    |

  10. The value of a, for which the points A, B, C with position vectors 2ha...

    Text Solution

    |

  11. If C is the middle point of AB and P is any point outside AB, then

    Text Solution

    |

  12. The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+l...

    Text Solution

    |

  13. If the vectors veca, vecb and vecc form the sides, BC , CA and AB, res...

    Text Solution

    |

  14. Let veca=veci-veck,vecb=xveci+vecj+(1-x)veck and vecc=yveci+xvecj+(1+x...

    Text Solution

    |

  15. Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...

    Text Solution

    |

  16. If veca,vecb,vecc are non-coplanar vectors and lambda is a real number...

    Text Solution

    |

  17. The vector hati +xhatj+3hatk is rotated through an angle theta and is ...

    Text Solution

    |

  18. A particle acted upon by constant forces 4hati+hatj-3hatk and 3hati + ...

    Text Solution

    |

  19. If veca, vecb and vec are non-coplanar vectors and lamda is a real num...

    Text Solution

    |

  20. Given, two vectors are hati - hatj and hati + 2hatj, the unit vector c...

    Text Solution

    |