Home
Class 12
MATHS
If the points with position vectors 20...

If the points with position vectors ` 20 hati + p hatj , 5 hati - hatj and 10 hati - 13 hatj` are collinear, then p =

A

7

B

-37

C

-7

D

37

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF VECTORS

    OBJECTIVE RD SHARMA|Exercise Exercise|30 Videos
  • ALGEBRAIC INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Exercise|39 Videos

Similar Questions

Explore conceptually related problems

If the points with position vectors 60hati+3hatj, 40 hati-8hatj and a hati - 52 hatj are collinear, then a =

The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+11hatj are collinear, if a is equal to

If points hati+hatj, hati -hatj and p hati +qhatj+rhatk are collinear, then

If the point whose position vectors are 2hati+hatj+hatk,6hati-hatj+2hatk and 12hati-5hatj+phatk are collinear, then the value of p is

The points with position vectors 5hati + 5hatk, -4hati + 3hatj - hatk and 2hati +hatj + 3hatk

Show that the points with position vectors hati+2hatj+7hatk, 2hati+6hatj+3hatk and 3hati+10hatj-hatk are collinear

OBJECTIVE RD SHARMA-ALGEBRA OF VECTORS-Chapter Test
  1. In a quadrilateral ABCD, vec(AB) + vec(DC) =

    Text Solution

    |

  2. If ABCDE is a pentagon, then vec(AB) + vec(AE) + vec(BC) + vec(DC) +...

    Text Solution

    |

  3. If ABCD is a parallelogram, then vec(AC) - vec(BD) =

    Text Solution

    |

  4. In a Delta ABC, " if " vec(AB) = hati - 7hatj + hatk and vec(BC) = 3 ...

    Text Solution

    |

  5. In a Delta ABC, if vec(AB) = 3 hati + 4 hatk, vec(AC) = 5 hati + 2 hat...

    Text Solution

    |

  6. The position vectors of P and Q are respectively vec a and vec b . If ...

    Text Solution

    |

  7. If the points whose position vectors are 2hati + hatj + hatk , 6hati -...

    Text Solution

    |

  8. The ratio in which hati + 2 hatj + 3 hatk divides the join of -2hati ...

    Text Solution

    |

  9. If OACB is a parallelogramwith vec(OC) = vec a and vec (AB) = vec b...

    Text Solution

    |

  10. The position vectors of the points A, B, C are 2 hati + hatj - hatk , ...

    Text Solution

    |

  11. If ABCDEF is a regular hexagon then vec(AD)+vec(EB)+vec(FC) equals :

    Text Solution

    |

  12. If the points with position vectors 20 hati + p hatj , 5 hati - hat...

    Text Solution

    |

  13. If the position vector of a point A is vec a + 2 vec b and vec a divi...

    Text Solution

    |

  14. If vec a ,\ vec b ,\ vec c and vec d are the position vectors of p...

    Text Solution

    |

  15. Let G be the centroid of Delta ABC , If vec(AB) = vec a , vec(AC) = v...

    Text Solution

    |

  16. If G is the intersection of diagonals of a parallelogram ABCD and O is...

    Text Solution

    |

  17. The vector cos alpha cos beta hati + cos alpha sin beta hatj + sin a...

    Text Solution

    |

  18. In a regular hexagon ABCDEF, vecAB=a, vecBC=b and vecCD = c. Then, vec...

    Text Solution

    |

  19. If three points A, B and C have position vectors hati + x hatj + 3 ha...

    Text Solution

    |

  20. If the position vectors of the vertices of a triangle of a triangle ar...

    Text Solution

    |