Home
Class 12
MATHS
Show that the vectors 4hati+4hatj+ 4hatk...

Show that the vectors `4hati+4hatj+ 4hatk,7hati+6hatj-hatk` and `3hati+2hatj-5hatk` form a right angled triangle and find its area.

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Prove that the vectors 2hati-hatj+hatk , hati-3hatj-5hatk , 3hati-4hatj-4hatk are the sides of a right angled triangle.

Show that the vectors 2hati + 3hatj,5hati -5hatk and 6hatj + 4hatk are co-planar.

Find the value of 'a' do the which the pointA,B,C with position vectors 2hati-hatj+hatk,hati-3hatj-5hatk and ahati-3hatj+hatk respectively are the vertices of a right angled triangle with /_C=pi/2 .

Find the angle between the vectors 3hati+ 4hatj and 2hati+hatj+hatk .

Show that the following vector are co-planar. hati+2hatj+3hatk, -2hati-4hatj+5hatk, 3hati+6hatj+hatk

Find the vector projection of veca=hati-hatj+hatk on vecb=3hati+hatj+3hatk.

Show that the following vector are co-planar. hati-2hatj+2hatk, 3hati+4hatj+5hatk, -2hati+4hatj-4hatk .

Find the angle between the vectors 3hati + 4hatj and 2hati+hatj+sqrt3hatk

Prove that four points with position vectors hati+hatj-3hatk, 2hati -hatj-hatk,- hati +2hatj +2hatk and 2hati +2hatk arecoplanar

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0

    Text Solution

    |

  2. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  3. Show that the vectors 4hati+4hatj+ 4hatk,7hati+6hatj-hatk and 3hati+2h...

    Text Solution

    |

  4. Integrate intdx/(x^4+1)

    Text Solution

    |

  5. Solve x^2ydx-(x^3+y^3)dy=0.

    Text Solution

    |

  6. Prove by vector method that in any triangle ABC, a/sinA=b/sinB=c/sinC.

    Text Solution

    |

  7. If a line in the space makes angles alpha, beta  and gamma  with the c...

    Text Solution

    |

  8. If the mapping f and g are given by f= {(1,2), (3, 4), (5, 6), (7, 8)}...

    Text Solution

    |

  9. Prove that cos^(-1)(frac[b+acosx][a+bcosx])=2tan^(-1)(sqrt(frac[a-b][a...

    Text Solution

    |

  10. Show that the line y=mx+c touches the curve x^2/a^2-y^2/b^2 = 1 if c^2...

    Text Solution

    |

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

    Text Solution

    |

  12. Show that the curves y = 2^(x) and y = 5^(x) intersect at an angle tan...

    Text Solution

    |

  13. Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...

    Text Solution

    |

  14. Find the inverse of the following matrix using elementary transformati...

    Text Solution

    |

  15. If A is a singular matrix, then what is A(adjA)?

    Text Solution

    |

  16. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

    Text Solution

    |

  17. If the direction angles of a line are alpha=30^@ and beta=60^@, find t...

    Text Solution

    |

  18. Give an example of a relation which is not a function.

    Text Solution

    |

  19. Write the integrating factor of the differential equation dy/dx(x+y+1)...

    Text Solution

    |

  20. tan{(1/2)sin^(-1)((2x)/(1+x^(2)))+1/2cos^(-1)((1-y^(2))/(1+y^(2)))}.

    Text Solution

    |