Home
Class 12
MATHS
Find the value of ‘a’ such that the vect...

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

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    SHARAM PUBLICATION|Exercise EXAMPLE|96 Videos

Similar Questions

Explore conceptually related problems

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 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 three vectors veca=2hati-hatj+hatk, vecb=hati+2hatj-3 hatk and vecc= 3hati +lambda vecj+5 hatk are coplanar.

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 unit vector in the direction of 6hati +2hatj +3hatk .

Find the scalar components of a unit vector which is perpendicular to the vectors hati+2hatj-hatk and 3hati-hatj+2hatk .

Find the value of lambda so that the three vectors are co-planar. hati+2hatj+3hatk, 4hati+hatj+lambdahatk and lambdahati-4hatj+hatk

Find the value of lambda such that the following vectors are coplanar: -hati+lambdahatj -lambdahatk, 2hati+4hatj +5hatk, -2hati+4hatj -4hatk

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

Find the unit vector in the direction of the sum of the vectors veca=2hati+2hatj-5hatk and vecb=2hati+2hatj-7hatk

SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. Write the value of the cosine of the angle which the vector veca =hati...

    Text Solution

    |

  2. Write a vector in the direction of the vector hati-2hatj+3hatk that ha...

    Text Solution

    |

  3. Find the value of ‘a’ such that the vector 6hati+2hatj-3hatk is perpen...

    Text Solution

    |

  4. What is the unit vector perpendicular to the vectors hati- hatj and 2h...

    Text Solution

    |

  5. What is the magnitude of 2veca xx 3veca ?

    Text Solution

    |

  6. If (vec a times vec b)^2 + (vec a cdot vec b)^2=144, write the value o...

    Text Solution

    |

  7. Write a vector normal to hati+hatk and hati+hatj.

    Text Solution

    |

  8. What is the angle between hati+ hatj and hati-hatj ?

    Text Solution

    |

  9. If veca and vecb are unit vectors such that vecaxxvecb is a unit vecto...

    Text Solution

    |

  10. If two vectors oversetrarra and oversetrarrb are such that |oversetrar...

    Text Solution

    |

  11. What is the direction of (hati+hatj+hatk)+(hati+hatk-3hatj)+ (hatk+hat...

    Text Solution

    |

  12. What is the projection of hat i + hat j - hat k upon the vector hat i ...

    Text Solution

    |

  13. Prove that [vecaxxvecbvecbxxveccveccxxveca] = [vecavecbvecc]^2

    Text Solution

    |

  14. Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = 4hat(i) - 2hat(j) + 3h...

    Text Solution

    |

  15. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

    Text Solution

    |

  16. If veca+vecb+vecc = vec0, |veca| = 3 , |vecb| = 5 and |vecc| = 7, find...

    Text Solution

    |

  17. The position vectors of the points A, B, C and D are 4hati+3hatj-hatk,...

    Text Solution

    |

  18. If the sum of two unit vectors is a unit vectors find the magnitude of...

    Text Solution

    |

  19. If veca = (2,-2,1), vecb = (2,3,6) and vecc = (-1,0,2), Find the magni...

    Text Solution

    |

  20. Prove the following by vector method. An angle inscribed in a semi-cir...

    Text Solution

    |