Home
Class 12
MATHS
Prove that the vectgors 2hati-hatj+hatk,...

Prove that the vectgors `2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4hatj-4hatk` form a righat angled triangle.

A

Equilateral triangle

B

Isosceles triangle

C

Right triangle

D

Right Isosceles triangle

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-B)|32 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-C)|6 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise TRY YOURSELF|20 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

Using dot product of vectors show that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4hatj-4hatk form a righat angled triangle

Show that vectors 3hati-2hatj+2hatk,hati-3hatj+4hatk and 2hati-hatj-2hatk form a right angled triangle

Show that the vectors a =3hati - 2hatj+hatk, b=hati - 3hatj+5hatk and c=2hatj+hatj-4hatk form a right angled triangle.

Three vectors 7hati-11hatj+hatk, 5hati+3hatj-2hatk and 12hati-8hatj-hatk forms

Prove that the points 2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4hatj-4hatk are the vertices of a righat angled triangle. Also find the remaining angles of the triangle.

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

Prove that the vecotos 3hati+5hatj+2hatk, 2hati-3hatj-5hatk and 5hati+2hatj-3hatk form the sides of an equlateral triangle.

Prove that the points hati-hatj, 4hati-3hatj+ hatk and 2hati-4hatj+5hatk are the vertices of a righat angled triangle.

Show that the vectors hati-3hatj+2hatk, 2hati-4hatj-hatk and 3hati+2hatj-hatk are linearly independent

AAKASH INSTITUTE-VECTOR ALGEBRA-ASSIGNMENT (SECTION-A)
  1. For any two vectors veca and vecb, which one of the following is not t...

    Text Solution

    |

  2. Find a unit vector in the direction of vector vecb = hati + 2hatj + 3h...

    Text Solution

    |

  3. Prove that the vectgors 2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4h...

    Text Solution

    |

  4. The magnitude of the sum of two vectors is equal to the difference in ...

    Text Solution

    |

  5. What is the angle between veca and the resultant of veca+vecb and veca...

    Text Solution

    |

  6. What is the magnitude of the scalar product of the following vectors ...

    Text Solution

    |

  7. Given that 0.4hati+0.8hatj+b hatk is a unit vector . What is the valu...

    Text Solution

    |

  8. ABCD is parallelogram. If L and M are the middle points of BC and CD, ...

    Text Solution

    |

  9. If veca=hati+hatj, vecb=hatj+hatk, vec c hatk+hati, a unit vector par...

    Text Solution

    |

  10. p1 hati+p2hatj is a unit vector perpendicular to 4hati-3hatj if

    Text Solution

    |

  11. If vecOA=veca,vecOB=vecb,vecOC=2veca+3vecb,vecOD=veca-2vecb, the lengt...

    Text Solution

    |

  12. Let veca=3hati-hatj, vecb=hati-2hatj, vec c=-hati+7hatj and vecp=veca+...

    Text Solution

    |

  13. If vecaxxvecb=vecaxxvec c,veca ne 0, then

    Text Solution

    |

  14. Given two vectors veca=2hati-3hatj+6hatk, vecb=-2hati+2hatj-hatk and...

    Text Solution

    |

  15. The area of parallelogram whose diagonals coincide with the following ...

    Text Solution

    |

  16. Let veca,vecb ,vecc be three nonzero vectors such that veca+vecb+vecc...

    Text Solution

    |

  17. If vecaxxvecb=vecc,vecb xx vecc=veca, where vecc != vec0, then

    Text Solution

    |

  18. ABCDEF is a regular hexagon where centre O is the origin, if the posit...

    Text Solution

    |

  19. hati.(hatjxxhatk)+hatj.(hatixxhatk)+hatk.(hatixxhatj) is equal to

    Text Solution

    |

  20. For any vector veca the value of (vecaxxhati)^2+(vecaxxhatj)^2+(vecaxx...

    Text Solution

    |