Home
Class 12
MATHS
The acute angle between r=(-hat(i)+3 hat...

The acute angle between `r=(-hat(i)+3 hat(k))+lambda (2 hat(i)+3 hat(j)+6 hat(k))` and `r. (10 hat(i)+2 hat(j)-11 hat(k))=3`, is

A

`sin^(-1) (8/21)`

B

`cos^(-1) (8/21)`

C

`sin^(-1) (5/21)`

D

`cos^(-2) (5/21)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2018 (7 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos
  • TS EAMCET 2019 (3 MAY SHIFT 2)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

The angle between vec(A) = hat(i) = 2hat(j) - hat(k) and vec(B) = - hat(i) + hat(j) - 2hat(k) is

Projection of the vector 2 hat(i) + 3hat(j) + 2hat(k) on the vector hat(i) - 2hat(j) + 3hat(k) is

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2019 (3 MAY SHIFT 1)-Mathematics
  1. The angle between the line of intersection of the two planes r.(2 hat(...

    Text Solution

    |

  2. Let x= hat(i)+hat(j) and y=3 hat(i)-2 hat(k). Then, the vector r of ma...

    Text Solution

    |

  3. The acute angle between r=(-hat(i)+3 hat(k))+lambda (2 hat(i)+3 hat(j)...

    Text Solution

    |

  4. In a data with 15 number of observations x(1), x(2), x(3), ..., x(15),...

    Text Solution

    |

  5. If the coefficient of variation and variance of a frequency distributi...

    Text Solution

    |

  6. If five dice are thrown simultaneously, then the probability that alte...

    Text Solution

    |

  7. If two unbiased dice are rolled simultaneously unitl a sum of the numb...

    Text Solution

    |

  8. A box contains 10 mangoes out of which 4 are spoiled. 2 mangoes are ta...

    Text Solution

    |

  9. Two dice are rolled. If a random variable X is defined as the absolute...

    Text Solution

    |

  10. If getting a head on a coin when it is tossed is considered as success...

    Text Solution

    |

  11. The set of all points that forms a triangle of area 15 sq units with t...

    Text Solution

    |

  12. Suppose the new axes X, Y are generated by rotating the coordinate axe...

    Text Solution

    |

  13. A line L makes intercept a and b on the coordinate axes. The axes are ...

    Text Solution

    |

  14. If m(1), m(2) (m(1) gt m(2)) are the slopes of the lines which make an...

    Text Solution

    |

  15. If A(-2, 1), B(0, -2), C(1, 2) are the vertices of a triangle ABC, the...

    Text Solution

    |

  16. If one jine of the pair of lines ax^2+2hxy+by^2=0 bisects the angle be...

    Text Solution

    |

  17. The equation of the pair of perpendicular lines passing through origin...

    Text Solution

    |

  18. If one of the diameter of the circle x^(2)+y^(2)-2x-6y+6=0 is a chord ...

    Text Solution

    |

  19. The line 3x-y+k=0 touches the circle x^(2)+y^(2)+4x-6y+3=0. If k(1), k...

    Text Solution

    |

  20. If the line ax+by =1 is a tangent to the circle S(r) equiv x^(2)+y^(2)...

    Text Solution

    |