Home
Class 12
MATHS
If vectors ax hati+3hatj-5hatk and xhati...

If vectors ax `hati+3hatj-5hatk and xhati+2hatj+2axhatk` make an acute angle with each other, for all `x in R` then a belongs to the interval

A

`(-1/4,0)`

B

`(0,6/50)`

C

`(0,6/25)`

D

`(-3/25,0)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If vectors 2hati - 3hatj-5hatk and 2hati-3 hatj-ahatk are equal vectors, then the value of a is

Show that the vectors 2hati-hatj_hatk and hatk-3hatj-5hatk are at righat angles.

The values of x for which the angle between the vectors veca =xhati - 3hatj-hatk and vecb = 2x hati + x hatj -hatk is acute, and the angle, between the vector vecb and the axis of ordinates is obtuse, are

The vectors (2hati - mhatj+ 3mk) and {(1 + m) hati -2m hatj + hatk} include and acute angle for

If vector vecP=a hati + a hatj +3hatk and vecQ=a hati -2 hatj -hatk are perpendicular to each other , then the positive value of a is

If the vectors xhati - 3hatj + 7 hatk and hati + y hatj- z hatk are colliner then the value of (xy^(2))/(z) is equla .

Determine the value of c so that for the real x, vectors cx hati - 6 hatj - 3 hatk and xhati + 2hatj + 2cx hatk make an obtuse angle with each other .

FIITJEE-VECTOR-SOLVED PROBLEMS (OBJECTIVE)
  1. barA,barB,barC are three vectors respectively given by 2hati+hatk,hati...

    Text Solution

    |

  2. The number of distinct real values of lamda for which the vectors -lam...

    Text Solution

    |

  3. If bara=i+j+k,bara.barb=1 and baraxxbarb=j-k, then : barb=

    Text Solution

    |

  4. IF bara,barb,barc are unit vectors such that bara+barb+barc=0 then the...

    Text Solution

    |

  5. If bara and barb are two unit vectors and theta is the angle between t...

    Text Solution

    |

  6. If bara,barb,bar c are position vectors of the non- collinear points ...

    Text Solution

    |

  7. Find a unit vector in XY plane, which makes an angle of 45^@ with the ...

    Text Solution

    |

  8. OABC is a tetrahedron. The position vectors of A, B and C are i, i+j a...

    Text Solution

    |

  9. Consider the points A (baro),B(3hati+f(t) hatj+hatk) and C(2hati+f'(t)...

    Text Solution

    |

  10. If vectors ax hati+3hatj-5hatk and xhati+2hatj+2axhatk make an acute a...

    Text Solution

    |

  11. the vector which is orthogonal to the vector 3hati+2hatj+6hatk and is ...

    Text Solution

    |

  12. IF the vector bara and barb are non-coplanar then bara/|bara|+barb/|b...

    Text Solution

    |

  13. Let barA= hati + 2hatj + 3hatk and vec B = 3hati + 4hatj + 5hatk The...

    Text Solution

    |

  14. Let barA= hati + 2hatj + 3hatk and vec B = 3hati + 4hatj + 5hatk Equ...

    Text Solution

    |

  15. If bara=hati+2hatj-3hatk,barb=2hati+hatj-hatk and baru is vector satis...

    Text Solution

    |

  16. A,B,C,D are four points in space and |bar(AB) times bar(CD) +bar(BC) t...

    Text Solution

    |

  17. The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+1...

    Text Solution

    |

  18. Three point A, B and C with position vectors a(1)=3hati-2hatj-hatk, a(...

    Text Solution

    |

  19. Match the following

    Text Solution

    |

  20. Match the following

    Text Solution

    |