Home
Class 12
MATHS
If a non-zero vector a is parallel to th...

If a non-zero vector a is parallel to the line of intersection of the plane determined by the vectors ` hat(j) - hat(k) ,3 hat(j) - 2 hat(k)` and the plane determined by the vectors ` 2 hat(i) + 3hat(j) , hat(i) - 3hat(j)` , then the angle between the vectors a and `hat(i) + hat(j) + hat(k)` is

A

`sin^(-1) ((2)/(sqrt(3)))`

B

`cos^(-1)(pm(2)/(sqrt(3)))`

C

`tan^(-1) sqrt(3)`

D

`cos ^(-1) (pm(1)/(sqrt(3)))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

  • AP EAMCET SOLVED PAPER 2018 ( 23-04-2019,SHIFT -1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|39 Videos

Similar Questions

Explore conceptually related problems

The angle made by the vector 2 hat(i) - hat(j) + hat(k) with the plane represented by r* (hat(i) +hat(j) + 2 hat(k)) = 7 is

If the vectors 2 hat(i) + 3hat(j) + c hat(k) and -3i + 6k are orthogonal the value of c is

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

The projection of a vector vec(r ) = 3 hat(i) + hat(j ) + 2 hat(k) on the x-y plane has magnitude

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET ENGINEERING ENTRANCE EXAM QUESTION PAPER 2017 (SOLVED)-Mathematics
  1. If f : IR to IR is defined by {:f(x)={("x - 1,"," for "x le 1),...

    Text Solution

    |

  2. If the pair of lines x^(2) - 16 pxy - y^(2) = 0 and x^(2) - 16qxy - y...

    Text Solution

    |

  3. If a non-zero vector a is parallel to the line of intersection of the ...

    Text Solution

    |

  4. If three number are drawn at random successively without replacement f...

    Text Solution

    |

  5. for x^(2) - 4 ne 0 , the value of (d)/(dx)[log{e^(x) ((x - 2)/(x+...

    Text Solution

    |

  6. If y = (sinh^(-1)x)/(sqrt(1 + x^(2)))"then" (1 +x^(2) ) y(2) + 3xy(1)...

    Text Solution

    |

  7. The area enclosed between the curves y^(2)=xandy=|x| is

    Text Solution

    |

  8. int (5x^(2) + 3)/(x^(2) (x^(2) - 2))dx =

    Text Solution

    |

  9. If y = tan^(-1) {(x)/(1 + sqrt(1 - x^(2)))} + sin { 2 tan^(-1) sq...

    Text Solution

    |

  10. The equation of the plane through (4, 4, 0) and perpendicular to the ...

    Text Solution

    |

  11. lim(n toinfty)[(1^(k) +2^(k)+3^(k) +. . .. +n^(k))/(n^(k +1))]=

    Text Solution

    |

  12. The coefficient of x^(5) in the expansion of (1 +x)^(21) +(1 + x)^(2...

    Text Solution

    |

  13. Let A = { - 4, - 2, -1, 0, 3, 5} and f : A to IR be defined by ...

    Text Solution

    |

  14. Find the incenter of the triangle formed by the straight lines y=sqrt(...

    Text Solution

    |

  15. The solution of the equation (x - 4y^(3)) (dy)/(dx) - y = 0, (y gt...

    Text Solution

    |

  16. If a circle with radius 2.5 units passes through the point (2,3) and ...

    Text Solution

    |

  17. The circumcenter of the triangle formed by the point (1,2,3) (3,-1,5)...

    Text Solution

    |

  18. A bag P contains 5 white marbles and 3 black marbles. Four marbles are...

    Text Solution

    |

  19. sech^(-1) ((1)/(sqrt(2))) + cosech^(-1) (-1)=

    Text Solution

    |

  20. If the points whose position vectors are 3bar(i) -2bar(j)-bar(k), 2bar...

    Text Solution

    |