Home
Class 12
MATHS
if vec a= 2 hat i+ lambda hat j+ hat k a...

if `vec a= 2 hat i+ lambda hat j+ hat k` and `vec b= hat i+ 2 hat j+ 3 hat k` are orthogonal then the value of `lambda`

A

0

B

1

C

44230

D

minus 5/2

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COMMON ENTRANCE TEST - 2018

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

If vec(a)=2hat(i)+lambda hat(j)+hat(k) and vec(b)=-hat(i)+2hat(j)-3hat(k) are orthogonal, then value of lambda is

Find vec a +vec b if vec a = hat i - hat j and vec b =2 hat i

If vec(a) = hat(i) - hat(j) + 7hat(k) and vec(b) = 5hat(i) - hat(j) + lambda hat(k) , then find the value of lambda so that vec(a) + vec(b) and vec(a) - vec(b) are perpendicular vectors.

If vec A =2 hat i+ 3 hat j+ 8 hat k is perpendicular to vec B= 4 hat j -4 hat i+ alpha hat k , then the value of alpha

The scalar product of the vector vec(a) = hat(i) + hat(j) + hat(k) with a unit vector along the sum of vectors vec(b) = 2hat(i) + 4hat(j) - 5hat(k) and vec(c ) = lambda hat(i) + 2hat(j) + 3hat(k) is equal to one. Find the value of lambda and hence find the unit vector along vec(b) + vec(c ) .

If veca = 2 hat i + 3 hat j - hat k , vec b = hat i + 2 hat j - 5 hat k, vec c= hat 3i + 5 hatj = hat k , then a vector perpendicular to vec a and in the plane containing vec b and vec c is

Write the value of lambda so that the vectors vec(a) = 2hat(i) + lambda hat(j) + hat(k) and vec(b) = hat(i) - 2hat(j) + 3hat(k) are perpendicular to each other ?

If vec(a) = x hat(i) + 2hat(j) - zhat(k) and vec(b) = 3hat(i) - y hat(j) + hat(k) are two equal vectors, then write the value of x+y+z.

If the vecotrs a hat(i) + hat(j) -2 hat(k) and -12 hat(i) + 4hat(j) + 8 hat(k) are perpendicular then the value of a is equal to

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2017-QUESTION BANK
  1. int(-5)^(5)|x+2|dx is equal to

    Text Solution

    |

  2. int-(pi//2)^(pi//2) (dx)/(e^(sinx)+1) is equal to

    Text Solution

    |

  3. int(0)^(pi//2)(1)/(a^(2).sin^(2)x+b^(2).cos^(2)x)dx is equal to

    Text Solution

    |

  4. The area of the region bounded by the curve y = x^(2) and the line y =...

    Text Solution

    |

  5. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

    Text Solution

    |

  6. The degree of the differential equation [1+((dy)/(dx))^(2)]^(2)=(d^(2)...

    Text Solution

    |

  7. General solution of differential equation (dy)/(dx)+y=1(y ne 1) is

    Text Solution

    |

  8. The integrating factor of the differential equation x.(dy)/(dx)+2y=x^(...

    Text Solution

    |

  9. if vec a= 2 hat i+ lambda hat j+ hat k and vec b= hat i+ 2 hat j+ 3 h...

    Text Solution

    |

  10. If vec a, vec b, vec c are unit vectors such that vec a + vec b + vec ...

    Text Solution

    |

  11. If vec a and vec b are unit vectors, then angle between vec a and vec...

    Text Solution

    |

  12. Reflection of the point (alpha, beta, gamma) in XY plane is

    Text Solution

    |

  13. The plane 2x-3y+6z-11=0 makes an angle sin^(-1)(alpha) with X - axis. ...

    Text Solution

    |

  14. The distance of the point (-2, 4, -5) from the line (x +3)/(3)= (y - 4...

    Text Solution

    |

  15. A box has 100 pens of which 10 are defective. The probability that out...

    Text Solution

    |

  16. Two events A and B will be independent if

    Text Solution

    |

  17. The probability distribution of X is The value of k is

    Text Solution

    |

  18. The shaded region in the figure is the solution set of the inequations

    Text Solution

    |

  19. If an LPP admits optimal solution at two consecutive vertices of a fea...

    Text Solution

    |

  20. int(0.2)^(3.5)[x]dx is equal to

    Text Solution

    |