Home
Class 12
MATHS
If A(-4,0,3) and B(14 ,2,-5), then which...

If `A(-4,0,3) and B(14 ,2,-5),` then which one of the following points lie on the bisector of the angle between ` vec O A and vec O B(O` is the origin of reference )? a. `(2,2,4)` b. `(2, 11 ,5)` c. `(-3,-3,-6)` d. `(1,1,2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If A(-4,0,3)a n dB(14 ,2,-5), then which one of the following points lie on the bisector of the angle between vec O Aa n d vec O B(O is the origin of reference )? a. (2,2,4) b. (2, 11 ,5) c. (-3,-3,-6) d. (1,1,2)

If | vec a+ vec b|<| vec a- vec b|, then the angle between vec aa n d vec b can lie in the interval a. (pi//2,pi//2) b. (0,pi) c. (pi//2,3pi//2) d. (0,2pi)

Find the angle between vec(a) and vec(b) if |vec(a)| = 4, |vec(b)|= 2 sqrt3 and |vec(a) xx vec(b)| = 12

If vec(A)=vec(B)+vec(C ) , and the magnitudes of vec(A) , vec(B) , vec(C ) are 5,4, and 3 units, then the angle between vec(A) and vec(C ) is

If 2 vec A C = 3 vec C B , then prove that 2 vec O A =3 vec C B then prove that 2 vec O A + 3 vec O B =5 vec O C where O is the origin.

Vectors drawn the origin O to the points A , B and C are respectively vec a , vec b and vec4a- vec3bdot find vec A C and vec B Cdot

A point O is the centre of a circle circumscribed about a triangle A B Cdot Then vec O Asin2A+ vec O Bsin2B+ vec O Csin2C is equal to

If A B C D is a rhombus whose diagonals cut at the origin O , then proved that vec O A+ vec O B+ vec O C+ vec O D =0

Vectors drawn the origin O to the points A , Ba n d C are respectively vec a , vec ba n d vec4a- vec3bdot find vec A Ca n d vec B Cdot

A B C D is parallelogram and P is the point of intersection of its diagonals. If O is the origin of reference, show that vec O A+ vec O B+ vec O C+ vec O D=4 vec O Pdot

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. Let A B C be a triangle, the position vectors of whose vertices are -1...

    Text Solution

    |

  2. If non-zero vectors vec a and vec b are equally inclined to coplanar ...

    Text Solution

    |

  3. If A(-4,0,3) and B(14 ,2,-5), then which one of the following points l...

    Text Solution

    |

  4. Prove that the sum of three vectors determined by the medians of a ...

    Text Solution

    |

  5. Prove that the resultant of two forces acting at point O and repres...

    Text Solution

    |

  6. Two forces vec A B and vec A D are acting at vertex A of a quadrilat...

    Text Solution

    |

  7. ABC is a triangle and P any point on BC. If vec(PQ) is the sum of vec(...

    Text Solution

    |

  8. If vector vec a+ vec b bisects the angle between vec a and vec b , ...

    Text Solution

    |

  9. ABCDE is a pentagon. Prove that the resultant of force vec A B , vec...

    Text Solution

    |

  10. if vec (AO) + vec (O B) = vec (B O) + vec (O C) ,than prove that B...

    Text Solution

    |

  11. A unit vector of modulus 2 is equally inclined to x- and y-axes at an ...

    Text Solution

    |

  12. Find the equation of the normal to the curve y=x^(3)+2x+6 which are pa...

    Text Solution

    |

  13. Let vec a , vec b and vec c be unit vectors such that vec a+ vec b- ...

    Text Solution

    |

  14. If the resultant of three forces vec F1=p hat i+3 hat j- hat k , ve...

    Text Solution

    |

  15. Let vec a , vec b , vec c , vec d be the position vectors of the four...

    Text Solution

    |

  16. Statement 1:Let A( vec a),B( vec b)a n dC( vec c) be three points such...

    Text Solution

    |

  17. Statement 1: If | vec a+ vec b|=| vec a- vec b|, then vec a and vec b ...

    Text Solution

    |

  18. Statement 1: vec a=3 vec i+p vec j+3 vec k and vec b=2 vec i+3 vec j...

    Text Solution

    |

  19. The position vectors of the vertices A ,Ba n dC of a triangle are t...

    Text Solution

    |

  20. aa n db form the consecutive sides of a regular hexagon A B C D E F...

    Text Solution

    |