Home
Class 12
MATHS
If theta is the angle between any two ve...

If `theta` is the angle between any two vectors `veca` and `vecb`, then `|veca.vecb|=|veca xx vecb|` when `theta` is equal to a)0 b)`pi/4` c)`pi/2` d)`pi`

A

0

B

pi/4'

C

pi/2'

D

pi'

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

If theta is the acute angle between any two vectors " " veca" and "vecb , then |veca.vecb|=|vecaxxvecb| when theta is equal to :

For any two vectors veca and vecb , we always have |veca+vecb| le|veca|+|vecb| (triangle ineuality)

Choose the correct answer. If theta is the angle between two vectors veca"and"vecb , then veca.vecb ge 0 only when a) 0 lt theta lt pi/2 b) 0 le theta le pi/2 c) 0 lt theta lt pi d) 0 le theta le pi

The angle between the vectors veca and vecb such that absveca=absvecb=sqrt2 and veca.vecb=1 is

Find the angle between two vectors veca and vecb with magnitudes 1 and 2 respectively and when veca . vecb=1

If |veca|=2,|vecb|=3 and veca.vecb=4 , then |veca-vecb| is equal to

Find |veca-vecb| , if two vectors veca and vecb are such that |veca|=2,|vecb|=3 and veca. vecb=4

Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Let 'veca' and 'vecb' be two unit vectors and 'theta' is the angle bet...

    Text Solution

    |

  2. The value of hati.(hatj xx hatk)+hatj.(hati xx hatk)+hatk.(hati xx hat...

    Text Solution

    |

  3. If theta is the angle between any two vectors veca and vecb, then |vec...

    Text Solution

    |

  4. Prove that the Iine joining the midpoints of the two sides of a triang...

    Text Solution

    |

  5. Find the projection of vector hati-hatj on the vector hati+hatj

    Text Solution

    |

  6. Show that the line segment joining the midpoints of two 'sides of a t...

    Text Solution

    |

  7. If P=(2,4,7) and Q=(-4,-1,5), then find bar(PQ) and |bar(PQ)|

    Text Solution

    |

  8. i) Compute |hati+hatj+hatk| ii) If veca=2 hati+3 hatj+6 hatk, find th...

    Text Solution

    |

  9. Find a vector in the direction of the vector '-hati+2 hatj+2 hatk' tha...

    Text Solution

    |

  10. Find a unit vector parallel to the sum of vectors veca=2 hati+4 hatj-5...

    Text Solution

    |

  11. Find the condition that the vectors veca=k hati+3 hatj and vecb=4 hati...

    Text Solution

    |

  12. Lẹt 0 be the centre of the regular hexagon ABCDEF. Find the sum of the...

    Text Solution

    |

  13. Show that the diagonals of a quadrilateral bịsect each other if and on...

    Text Solution

    |

  14. Prove that the quadrilatral formed by joining the mid points of the si...

    Text Solution

    |

  15. Find the vector with initial point 'A(6,-2)' and terminal point 'B(4,8...

    Text Solution

    |

  16. The vectors of magnitude a, 2a, 3a meet at a point and their direction...

    Text Solution

    |

  17. Find the unit vector in the direction of vector 'vecP Q', where 'P' an...

    Text Solution

    |

  18. Find the còndition that the vectors veca=k hati+l hatj and vecb=l hati...

    Text Solution

    |

  19. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  20. Find the length of the medians of the triangle formed by A(4,2), B(1,...

    Text Solution

    |