Home
Class 12
MATHS
Find the value of lambda so that the vec...

Find the value of `lambda` so that the vectors `veca` and `vecb` are perpendicular to each other. `veca` = `3hati+4hatj`, `vecb` = `-5hati+lambdahatj`.

Text Solution

Verified by Experts

The correct Answer is:
`lambda = (15)/(4)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbook Solutions (Exercise 12(c))|28 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbook Solutions (Exercise 12(d))|17 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbook Solutions (Exericise 12(a))|46 Videos

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Chapter Practice|34 Videos

Similar Questions

Explore conceptually related problems

Find the value of lambda so that the vectors veca and vecb are perpendicular to each other. veca = hati+hatj+lambdahatk , vecb = 4hati-3hatk

Find the value of lambda so that the vectors veca and vecb are perpendicular to each other. veca = 2hati-hatj-hatk , vecb = lambdahati+hatj+5hatk

Find the value of lambda so that the vectors veca and vecb are perpendicular to each other. veca = (6,2,-3), vecb = (1,-4, lambda )

For what value of lambda , the vectors veca=3hati+4hatj and vecb=8hati+lambdahatj are perpendicular to each other.

What is the value of x so that the vector 6hati+2hatj-3hatk and hati-4hatj+xhatk are perpendicular to each other.

Find the value of ‘a’ such that the vector 6hati+2hatj-3hatk is perpendicular to hati+6hatj+ahatk

Find the value of lambda so that three vectors veca=2hati-hatj+hatk, vecb=hati+2hatj-3 hatk and vecc= 3hati +lambda vecj+5 hatk are coplanar.

Find the scalar and vector projection of veca on vecb . veca = hati+hatj , vecb = hatj+hatk

Find the unit vectors perpendicular to the vectors. hati+hatj , hati-hatk

ARIHANT PUBLICATION-VECTOR ALGEBRA -Odisha Bureau.s Textbook Solutions (Exercise 12(b))
  1. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  2. If A,B,C are the points (1,0,2), (0,3,1) and (5,2,0) respectively, fin...

    Text Solution

    |

  3. Find the value of lambda so that the vectors veca and vecb are perpend...

    Text Solution

    |

  4. Find the value of lambda so that the vectors veca and vecb are perpend...

    Text Solution

    |

  5. Find the value of lambda so that the vectors veca and vecb are perpend...

    Text Solution

    |

  6. Find the value of lambda so that the vectors veca and vecb are perpend...

    Text Solution

    |

  7. Find the scalar and vector projection of veca on vecb. veca = hati, v...

    Text Solution

    |

  8. Find the scalar and vector projections of vec a on vec b vec a = ha...

    Text Solution

    |

  9. Find the scalar and vector projections of vec a on vec b vec a = hat...

    Text Solution

    |

  10. In each of the problems given below, find the work done by a force F a...

    Text Solution

    |

  11. In each of the problems given below, find the work done by a force F a...

    Text Solution

    |

  12. In each of the problems given below, find the work done by a force vec...

    Text Solution

    |

  13. In each of the problems given below, find the work done by a force F a...

    Text Solution

    |

  14. If (a + b).(a-b) = 0 show that |a| = |b|.

    Text Solution

    |

  15. If a and b are perpendicular vectors show that (veca+vecb)^2 = (veca-v...

    Text Solution

    |

  16. Prove that two vactors are perpendicular iff |veca+vecb|^2 = |veca|^...

    Text Solution

    |

  17. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  18. Prove the following by vector method. Altitudes of a triangle are conc...

    Text Solution

    |

  19. Prove the following by vector method. Median to the base of an isoscel...

    Text Solution

    |

  20. Prove the following by vector method. The parallelogram whose diagonal...

    Text Solution

    |