Home
Class 12
MATHS
Find a unit vector perpendicular to both...

Find a unit vector perpendicular to both of the vectors `veca + vecb` and `veca - vecb` where `veca = hati + hatj + hatk` and `b = hati+2hatj+3hatk`.

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2018

    MODERN PUBLICATION|Exercise EXERCISE|39 Videos

  • SAMPLE PAPER 2020

    MODERN PUBLICATION|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

Find the unit vectors perpendicular to the vectors. hati , hatk

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

Find a unit vector perpendicular to the following two vectors veca =2hati+3hatj+6hatk and vecb = 3 hati-6 hatj+2 hatk

Find the unit vector in the direction of veca-vecb where veca= 4hati + 4hatj+hatk and vecb= 3hati-11hatk .

Find the unit vectors perpendicular to the vectors. 2hati+3hatk , hati-2hatj

Find a vector vecb such that vecaxxvecb=vecc and veca.vecb = 3 where veca = hati + hatj+hatk , vecc = hatj-hatk

A vector perpendicular to the vectors hati+hatj and hati+hatk is ____

Find the scalar and vector projection of veca on vecb . veca = hati-hatj-hatk , vecb = 3hati+hatj+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 = hati+hatj+lambdahatk , vecb = 4hati-3hatk

MODERN PUBLICATION-SAMPLE PAPER 2019-EXERCISE
  1. Evaluate : int0^(pi//2)(cosxdx)/((2-sinx)(3+sinx))

    Text Solution

    |

  2. Find the area of the region bounded by the curve y=6x-x^2 and the x-ax...

    Text Solution

    |

  3. Find differential equation of the curve y=ae^(3x)+be^(5x).

    Text Solution

    |

  4. Obtain the general solution of the following differential equations. (...

    Text Solution

    |

  5. Find a unit vector perpendicular to both of the vectors veca + vecb an...

    Text Solution

    |

  6. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

    Text Solution

    |

  7. Find the vector equation of a plane which is at a distance of 3 units ...

    Text Solution

    |

  8. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

    Text Solution

    |

  9. Prove that f:X to Y is injective iff for all subsets A, B of X, f (A c...

    Text Solution

    |

  10. If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...

    Text Solution

    |

  11. Find the inverse of the following matrices using elementary transforma...

    Text Solution

    |

  12. Examining consistency and solvability, solve the following equation by...

    Text Solution

    |

  13. Out of the adult population in a village 50% are farmers, 30% do busin...

    Text Solution

    |

  14. If (a + bx)e^(y/x) = x, then show that x^3d/dx (dy/dx) = (x dy/dx - ...

    Text Solution

    |

  15. Show that the shrtest distance of the point (0, 8a) from the curve ax^...

    Text Solution

    |

  16. Evaluate the following integrals int(dx)/(2cos^2x+3cosx)

    Text Solution

    |

  17. Determine the area common to the parabola y^2=x and the circle x^2+y^2...

    Text Solution

    |

  18. Solve y^(2)+x^(2)dy/dx=xydy/dx.

    Text Solution

    |

  19. Show by vector method that the four points (6, 2, -1), (2, -1, 3), (-1...

    Text Solution

    |

  20. Find the distance of the point (1,-1,-10) from the line (x-4)/1=(y+3)/...

    Text Solution

    |