Home
Class 12
MATHS
The value of lambda for which the vector...

The value of `lambda` for which the vectors `veca= hati+ 3 hat j- hat k` and `vec b= 2hati+6 hat j+lambdak` are parallel is

A

3

B

-6

C

-3

D

-2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • HIGHER SECONDARY QUESTION 2018

    UNITED BOOK HOUSE|Exercise EXERCISE|44 Videos
  • MISCELLANEOUS EXERCISE

    UNITED BOOK HOUSE|Exercise EXERCISE|75 Videos

Similar Questions

Explore conceptually related problems

The value of lamda for which the vectors vec(a) = hat(i) + 3hat(j) - hat(k) and hat(b) = 2hat(i) + 6hat(j) + lamda hat(k) are parallel is-

find the value of x,y and z so that the vectors vec a= x hat i+ 2 hat j+z hat k and vec b = 2 hat i +y hat j +hat k are equal

Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=hat i-hat j+hat k

if vec a = 2 hat i- 3 hat j+hat k and vec b = hat i+2 hat j- 3hat k then vec aXvec b is

If vec a= 2 hat i- hat j+ hat k and vec b = - hat i+3 hat j+4 hat k ,then veca.vecb =

A vector of magnitude sqrt(2) coplanar with the vector vec a= hat i+ hat j+2 hat k and vec b= hat i+2 hat j+ hat k , and perpendicular to the vector vec c= hat i+ hat j+ hat k , is a. - hat j+ hat k b. hat i- hat k c. hat i- hat j d. hat i- hat j

Find a vector magnitude 5 units, and parallel to the resultant of the vectors vec a=2 hat i+3 hat j- hat k and vec b= hat i-2 hat j+ hat kdot

The number of distinct real values of lambda , for which the vectors -lambda^2 hat i+ hat j+k , hat i-lambda^2 hat j+ hat ka n d hat i+ hat j-lambda^2 hat k are coplanar is a. zero b. one c. two d. three

Find a unit vector in direction parallel to the sum of the vectors vec a = 2 hat i+4 hat j-5 hatk and vec b= hati+ 2 hat j+ 3hat k . Find also the direction cosines of this vector.

Find the value of lambda for which the three points with position vector 3 hat i-2 hat j- hat k ,2 hat i+3 hat j-4 hat k , and4 hat i+5 hat j+lambda hat k are coplanar.

UNITED BOOK HOUSE-HIGHER SECONDARY QUESTION 2019-EXERCISE
  1. CHOOSE the correct answer from the following alternative : the value o...

    Text Solution

    |

  2. CHOOSE the correct answer from the following alternative :if f(x)=-f(-...

    Text Solution

    |

  3. The value of lambda for which the vectors veca= hati+ 3 hat j- hat k a...

    Text Solution

    |

  4. CHOOSE the correct answer from the following alternative : the domain ...

    Text Solution

    |

  5. CHOOSE the correct answer from the following alternative :if y=tan ^(-...

    Text Solution

    |

  6. 1. (a) ANSWER any one question: 1. solve : 2sin ^(-1) x=cos^(-1)x.

    Text Solution

    |

  7. ANSWER any one question: 2. let A={1,2,3,}. Define a relation (on A) ...

    Text Solution

    |

  8. (b) answer any one question:1. A= [[8,0],[4,-2]] and B=[[2,-2],[-5,1]]...

    Text Solution

    |

  9. answer any one question : 2. if [[2,3],[4,5]]=[[x,3],[2x,5]] , find th...

    Text Solution

    |

  10. (c)answer any three questions: 1. if y=sin ^(-1) ((2x)/(1+x^2)) , find...

    Text Solution

    |

  11. answer any three questions :2. f(x)=5 -|x-1|: find the maximum value o...

    Text Solution

    |

  12. answer any three questions: 3.if x>0, then show that log(1+x) > x/(1+x...

    Text Solution

    |

  13. Find the differential equation of all circles which touch the x-axis a...

    Text Solution

    |

  14. answer any three questions:5. if f(2)=4,f'(2)=4, then evaluate lim (x ...

    Text Solution

    |

  15. answer any three questions:6. evaluate : int1^2 (xdx)/((x+1)(x+2))

    Text Solution

    |

  16. show that A(2,3,-4),B (1,-2,3) and C(3,8,-11) are collinear.

    Text Solution

    |

  17. if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , ...

    Text Solution

    |

  18. (e)ANSWER ANY one question : 1. if P(A) =a and P(B)=b, then show that ...

    Text Solution

    |

  19. if a and b are any two constants, then prove that Var (aX+b)=a^2Var(X)...

    Text Solution

    |

  20. if tan ^(-1) x+tan ^(-1)y+tan ^(-1) z=pi/2 and x+y+z= sqrt3 , then sho...

    Text Solution

    |