Home
Class 12
MATHS
If vec a= hat a= hat i-\ hat j+7 hat k...

If ` vec a= hat a= hat i-\ hat j+7 hat k` and ` vec b=5 hat j-\ 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.

Text Solution

Verified by Experts

The correct Answer is:
`pm 5`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (e ) Long Answer Type Questions (II)|4 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (f) Short Answer Type Questions|11 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (e ) Short Answer Type Questions|28 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

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

Let vec a=5hat i-hat j+7hat k and vec b=hat i-hat j+lambdahat k Find lambda such that vec a+vec b is orthogonal to vec a-vec b.

If vec a=hat i+lambdahat j+hat k and vec b=hat i+hat j+hat k and |vec a+vec b|=|vec a|+|vec b| then the value of lambda is

If vec a=hat i+lambdahat j+hat k and vec b=hat i+hat j+hat k and |vec a+vec b|=|vec a|+|vec b| , then the value of lambda is

If vec a=5hat i-hat j-3hat k and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

If vec a=5hat i-hat j-3hat k, and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

If vec(a)=5hat(i)-hat(j)+7hat(k) and vec(b)=hat(i)-hat(j)-lambda hat(k) , find the value of lambda for which (vec(a)+vec(b)) and (vec(a)-vec(b)) are orthogonal.

If vec A = hat i + 3 hat j + 2 hat K and vec B = 3 hat i + hat j + 2 hat k , then find the vector product vec A xx vec B .

Let vec a=5hat i-hat j+7hat k and vec b=hat i-hat j+lambdahat k Find lambda such that vec a+vec b is orthogonal to vec a-vec b

If vec(a)=3hat(i)+hat(j)+9hat(k) and vec(b)=hat(i)+lambda hat(j)+3hat(k) , then find the value of 'lambda' for which the vectors (vec(a)+vec(b)) and (vec(a)-vec(b)) are perpendicular to each other.

MODERN PUBLICATION-VECTOR ALGEBRA -EXERCISE 10 (e ) Long Answer Type Questions (I)
  1. Find a unit vector perpendicular to each of the vectors vec a + vec b...

    Text Solution

    |

  2. If vectors vec a=2 hat i+2 hat j+3 hat k ,\ vec b=- hat i+2 hat j+ h...

    Text Solution

    |

  3. If vec a= hat a= hat i-\ hat j+7 hat k and vec b=5 hat j-\ hat j+l...

    Text Solution

    |

  4. If vec p=5 hat i+lambda hat j-3 hat k\ a n d\ vec q= hat i+3 hat j-5...

    Text Solution

    |

  5. If vec(a)=5hat(i)-hat(j)+7hat(k) and vec(b)=hat(i)-hat(j)-lambda ha...

    Text Solution

    |

  6. If vec(a)=3hat(i)+hat(j)+9hat(k) and vec(b)=hat(i)+lambda hat(j)+3ha...

    Text Solution

    |

  7. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  8. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  9. Show that the vectors 2 hat i- hat j+ hat k , hat i-3 hat j-5 hat kan...

    Text Solution

    |

  10. The position vectors of the vertices of Delta ABC are : 3hat(i)-4hat(j...

    Text Solution

    |

  11. If |vec(a)+vec(b)|=|vec(a)-vec(b)|, prove that vec(a) and vec(b) ar...

    Text Solution

    |

  12. If vec(a) and vec(b) are perpendicular vectors, show that : (vec(a...

    Text Solution

    |

  13. Prove that ( -> a+ -> b)dot( -> a+ -> c)| -> a|^2+| -> b|^2 , if and o...

    Text Solution

    |

  14. If vec a , vec b ,a n d vec c are unit vectors such that vec a+ vec ...

    Text Solution

    |

  15. Three vectors vec a,vec b and vec c satisfy the condition vec a+vec b+...

    Text Solution

    |

  16. If the vectors vec(a), vec(b) and vec(c ) satisfy the condition vec(a...

    Text Solution

    |

  17. The scalar product of the vector vec a= hat i+ hat j+ hat k with a un...

    Text Solution

    |

  18. Let -> a , -> b and -> c be three vectors such that | -> a|=3,| -...

    Text Solution

    |

  19. If |a|=a and | vec b|=b , prove that ( vec a/( vec a^2)- vec b/(b^2))^...

    Text Solution

    |

  20. If vec(a)=3hat(i)+hat(j)-4hat(k), vec(b)=6hat(i)+5hat(j)-2hat(k) and ...

    Text Solution

    |