Home
Class 12
MATHS
Let vec(a) = hat(i) + hat(j) + hat(k),ve...

Let `vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(k)` and `vec(c) = xhat(i) + (x-2)hat(j) - hat(k)`. If the vector `vec(c)` lies in the plane of `vec(a)` and `vec(b)` then x equals

A

0

B

1

C

-4

D

-2

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|18 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = hat(i) - hat(j) + 2hat(k) and vec(c) = xhat(i) + (x-2)hat(j) - hat(k) . If the vector vec(c) lies in the plane of vec(a) & vec(b) , then x equals

Given vec(a) = xhat(i) + yhat(j) + 2hat(k) , vec(b) = hat(i) - hat(j) + hat(k), hat(c) = hat(i) + 2hat(j) , (vec(a) wedge vec(b)) = pi//2 , vec(a).vec(c) = 4 then

If vec(a) = hat(i) + hat(j) + 2 hat(k) and vec(b) = 3 hat(i) + 2 hat(j) - hat(k) , find the value of (vec(a) + 3 vec(b)) . ( 2 vec(a) - vec(b)) .

If vec(a)=2hat(i)+3hat(j)+hat(k), vec(b)=hat(i)-2hat(j)+hat(k) and vec(c )=-3hat(i)+hat(j)+2hat(k) , find [vec(a)vec(b)vec(c )] .

If vec(a) = hat(i) + 2 hat(j) + 3 hat(k) and vec(b) = 2 hat(i) + 3 hat(j) + hat(k) , find a unit vector in the direction of ( 2 vec(a) + vec(b)) .

If vec(a) = hat(i)- hat(k) , vec(b) = x hat(i) + hat(j) + (1-x) hat(k), vec(c ) = y hat(i) + x hat(j) + (1+ x- y)hat(k) then vec(a).(vec(b) xx vec(c )) depends on

If vec(a)=(2hat(i)-hat(j)+hat(k)), vec(b)=(hat(i)-3hat(j)-5hat(k)) and vec(c)=(3hat(i)-4hat(j)-hat(k)) , find [vec(a)vec(b)vec(c)] and interpret the result.

If vec(a) = 2hat(i) + hat(j) - hat(k) and vec(b) = hat(i) - hat(k) , then projection of vec(a) on vec(b) will be :

If vec(a)= hat(i) - 2hat(j) + 5hat(k) and vec(b) = 2hat(i) + hat(j) -3hat(k) , then (vec(b) - vec(a)).(3 vec(a) +vec(b)) equal to?

If vec(a) = 2 hat(i) + 2 hat(j) + hat(k) , vec(b) = - hat(i) + hat(j) + 2 hat(k) and vec ( c) = 3 hat(i) + hat(j) such that vec(a) + lambda hat (b) is perpendicular to vec( c) , find lambda .

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. If (a xx b) xx c = a xx (b xx c). Where a,b and c are any three vector...

    Text Solution

    |

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

    Text Solution

    |

  3. Let vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(...

    Text Solution

    |

  4. If hat u and hat v are unit vectors and theta is the acute ang...

    Text Solution

    |

  5. The vector veca=alpha hati+2hatj+betahatk lies in the plane of vectors...

    Text Solution

    |

  6. The non-zero vectors are vec a,vec b and vec c are related by vec a= ...

    Text Solution

    |

  7. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

    Text Solution

    |

  8. vectors veca=i-j+2k , vecb=2i+4j+k and vecc=lambdai+j+muk are mutually...

    Text Solution

    |

  9. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

    Text Solution

    |

  10. If a=1/sqrt(10)(3i+k)" and "b=1/7(2i+3j-6k), then the value of (2a-b)....

    Text Solution

    |

  11. The vectors a and b are not perpendicular and c and d are two vectors ...

    Text Solution

    |

  12. If the vectors pi + j + k, i + qj + k and i + j + rk, where pneqnerne1...

    Text Solution

    |

  13. Let a,b and c be three non-zero vectors which are pairwise non-colline...

    Text Solution

    |

  14. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

    Text Solution

    |

  15. Let ABCD be a parallelogram such that vec AB = vec q,vec AD = vec p a...

    Text Solution

    |

  16. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  17. If veca and vecb are non colinear vectors, then the value of alpha for...

    Text Solution

    |

  18. Let vec a = 2hat i-hat j+hat k,vec b=hat i+ 2hat j-hat k and vec c=h...

    Text Solution

    |

  19. If [axxb bxxc c xxa]=lambda[abc]^(2), then lambda is euqual to

    Text Solution

    |

  20. If abs(a)=2, abs(b)=3" and "abs(2a-b)=5," then "abs(2a+b) equals

    Text Solution

    |