Home
Class 12
MATHS
If triangle ABC (Fig 10.18), which of th...

If triangle ABC (Fig 10.18), which of the following is not true :
(A) `vec(AB)+vec(BC)+vec(CA)=vec(0)`
(B) `vec(AB)+vec(BC)-vec(AC)=vec(0)`
( C ) `vec(AB)+vec(BC)-vec(CA)=vec(0)`
(D) `vec(AB)-vec(CB)+vec(CA)=vec(0)`

A

`vec(AB)+vec(BC)+vec(CA)=vec(0)`

B

`vec(AB)+vec(BC)-vec(AC)=vec(0)`

C

`vec(AB)+vec(BC)-vec(AC)=vec0`

D

`vec(AB)-vec(CB)+vec(CA)=vec(0)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT GUJARATI|Exercise EXERCISE 10.3|18 Videos

  • VECTOR ALGEBRA

    NCERT GUJARATI|Exercise EXERCISE 10.4|12 Videos

  • VECTOR ALGEBRA

    NCERT GUJARATI|Exercise EXERCISE 10.1|5 Videos

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

The value of (vec(A)+vec(B)).(vec(A)xxvec(B)) is :-

Prove that [vec(a)+vec(b), vec(b)+vec( c ), vec( c )+vec(a)]=2[vec(a),vec(b),vec( c )] .

Prove that [vec(a),vec(b),vec( c )+vec(d)]=[vec(a),vec(b),vec( c )]+[vec(a),vec(b),vec(d)] .

State whether the following relations are true or false (1) vec(AB)=vec(BA) (2) vec(AB)=-vec(BA) (3) |vec(AB)|=|vec(BA)| (4) |vec(AB)|=|-vec(AB)| (5) hatj=hatk (6) |hatj|=|hatk|

For vectors vec(a),vec(b) and vec( c ),vec(a).vec(b)=vec(a).vec( c ) and vec(a)xx vec(b)=vec(a)xx vec( c ),vec(a) ne vec(0) then show that vec(b)=vec( c ) .

Orthocenter of an equilateral triangle ABC is the origin O. If vec(OA)=veca, vec(OB)=vecb, vec(OC)=vecc , then vec(AB)+2vec(BC)+3vec(CA)=

(vec(a)xx vec(b))xx vec( c )=vec(a)xx(vec(b)xx vec( c )) . If vec(a)*vec( c ) ……………

For three vectors vec(a),vec(b) and vec( c ),vec(a)+vec(b)+vec( c )=vec(0)|vec(a)|=3,|vec(b)|=4,|vec( c )|=5 , then evaluate 2(vec(a)*vec(b)+vec(b)*vec( c )+vec( c )*vec(a)) .

Let vec(a),vec(b) and vec( c ) be three unit vectors such that vec(a),+vec(b)+vec( c )=vec(0) . If lambda=vec(a)*vec(b)+vec(b)*vec( c )+vec( c )*vec(a) and vec(d)=vec(a)xx vec(b)+vec(b)xx vec( c )+vec( c )xx vec(a) then the ordered pair (lambda, vec(d)) is equal to :

NCERT GUJARATI-VECTOR ALGEBRA-EXERCISE 10.2
  1. Compute the magnitude of the following vectors : veca=hati+hatj+k,...

    Text Solution

    |

  2. Write two different vectors having same magnitude.

    Text Solution

    |

  3. Write two different vectors having same direction.

    Text Solution

    |

  4. Find the values of x and y so that the vectors 2hati+3hatjandxhati+yh...

    Text Solution

    |

  5. Find the scalar and vector components of the vector with initial poi...

    Text Solution

    |

  6. Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5h...

    Text Solution

    |

  7. Find the unit vector in the direction of the vector veca=hati+hatj+2h...

    Text Solution

    |

  8. Find the unit vector in the direction of vector vec(PQ) , where P and ...

    Text Solution

    |

  9. For given vectors veca=2hati-hatj+2hatkandvecb=-hati+hatj-hatk, find t...

    Text Solution

    |

  10. Find a vector in the direction of vector 5hati-hatj+2hatk which has ma...

    Text Solution

    |

  11. Show that the vectors 2hati-3hatj+4hatkand-4hati+6hatj-8hatk are coll...

    Text Solution

    |

  12. Find the direction cosines of the vector hati+2hatj+3hatk.

    Text Solution

    |

  13. Find the direction cosines of the vector joining the points A(1,2,-3)...

    Text Solution

    |

  14. Show that the vector hati+hatj+hatk is equally inclined to the axes OX...

    Text Solution

    |

  15. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  16. Find the position vector of the mid point of the vector joining the p...

    Text Solution

    |

  17. Show that the points A,B and C with position vectors , veca=3hati-4hat...

    Text Solution

    |

  18. If triangle ABC (Fig 10.18), which of the following is not true : (A...

    Text Solution

    |

  19. If vecaandvecb are two collinear vectors , then which of the following...

    Text Solution

    |