Home
Class 12
MATHS
Let vecA be a vector parallel to the of ...

Let `vecA` be a vector parallel to the of intersection of planes `P_1 and P_2` through origin. `P_1` is parallel to the vectors `2hatj+3hatk and 3hatj-3hatk and P_2` is parallel to `hatj-hatk and 3hati+3hatj` then the angle between the vectors `vecA` and `2hati+hatj-2hatk` is (A) `pi/2` (B) `pi/4` (C) `pi/6` (D) `(3pi)/4`

A

`(pi)/(2)`

B

`(pi)/(4)`

C

`(pi)/(6)`

D

`(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL -I)|36 Videos
  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

Let vecA be a vector parallel to the line of intersection of the planes P_(1) and P_(2) . The plane P_(1) is parallel to vectors 2hatj+3hatk and 4hatj-3hatk while plane P_(2) is parallel to the vectors hatj-hatk and hati+hatj . The acute angle between vecA and 2hati+hatj-2hatk is

Find the angle between the vectors 4hati-2hatj+4hatk and 3hati-6hatj-2hatk.

Show that vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are parallel

The angle between the two vectors -2hati+3hatj+hatk and hati+2hatj-4hatk is -

The angle between the two vectors -2hati+3hatj-hatk and hati+2hatj+4hatk is

If a=4hati+2hatj-hatk and vecb=5hati+2hatj-3hatk find the angle between the vectors veca+vecb and veca-vecb

Find the equation of the plane through the point (3,4,-5) and parallel to the vectors 3hati+hatj-hatk and hati-2hatj+hatk .

MOTION-VECTOR -EXERCISE - 4 ( LEVEL-II)
  1. If veca,vecb,vecc,vecd are four distinct vectors satisfying the condit...

    Text Solution

    |

  2. Let veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk andvecc= hathatj-h...

    Text Solution

    |

  3. Let vecA be a vector parallel to the of intersection of planes P1 and ...

    Text Solution

    |

  4. The number of distinct values of lamda, for which the vectors -lamda^(...

    Text Solution

    |

  5. Let veca, vecb ,vecc be unit vetors such that veca + vecb + vecc = ve...

    Text Solution

    |

  6. Assertion: vec(PQ)xx(vec(RS)+vec(ST))!=0, Reason : vec(PQ)xxvec(RS)=ve...

    Text Solution

    |

  7. The edges of a parallelopiped are of unit length and are parallel to n...

    Text Solution

    |

  8. Lelt two non collinear unit vectors hata and hatb form and acute angle...

    Text Solution

    |

  9. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb).(ve...

    Text Solution

    |

  10. Let P, Q, R and S be the points on the plane with position vectors -2h...

    Text Solution

    |

  11. If veca and vecb are vectors in space given by veca=(hati-23hatj)/(sqr...

    Text Solution

    |

  12. Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj...

    Text Solution

    |

  13. The vectors which is/are coplanar with vectors hati+hatj+2hatk and hat...

    Text Solution

    |

  14. Let veca=-hati-hatk, vecb=-hati+hatj and vecc=hati+2hatj+3hatk be th...

    Text Solution

    |

  15. Let bar(PR)=3hati+hatj-2hatk and bar(SQ)=hati-3hatj-4hatk determine d...

    Text Solution

    |

  16. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

    Text Solution

    |

  17. Let vecx,vecy and vecz be three vector each of magnitude sqrt(2) an...

    Text Solution

    |

  18. Let veca, vecb and vecc be non - coplanar unit vectors, equally inclin...

    Text Solution

    |

  19. Let triangle PQR be a triangle. Let veca = vec(QR) , vecb = vec(RP) a...

    Text Solution

    |

  20. Let vecu = u(1)hati + u(2)hatj +u(3)hatk be a unit vector in R^(3) a...

    Text Solution

    |