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

If `theta` is the angle between any two vectors `vec(a) and vec(b), "then" |vec(a).vec(b)| = |vec(a) xx vec(b)|` when `theta` is equal to :

A

0

B

`pi/4`

C

`pi/2`

D

`pi`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

If θ is the angle between two vectors vec a and vec b , then vec a*vec b ge 0 only when

If θ is the angle between two proper vectors vec a and vec b , then vec a*vec b lt 0 then

If vec a is any vector, then vec a*vec a

The angle between two vectors vec a and vec b with Magnitudes sqrt3 and 4 respectively and vec a*vec b= 2 sqrt3 is

Incase of each of the following statements, state whether it is true or false For any two non-zero vectors vec a and vec b , (vec a+vecb)^2 = (vec a)^2 +(vec b)^2 +2vec a . vec b

For any two vectors vec a and vec b , prove that (vec a* vec b)^ 2 le |quad vec a|^2|quad vec b|^2 .

If for any two vectors vec a and vec b , (vec a+ vec b)^2 +(vec a - vecb)^2 =λ {(vec a)^2 +(vec b)^2}, then write the value of λ .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Let vec a and vec b be two unit vectors and θ is the angle between the...

    Text Solution

    |

  2. If (hat i, hat j, hat k) are the usual three perpendicular unit vector...

    Text Solution

    |

  3. If theta is the angle between any two vectors vec(a) and vec(b), "then...

    Text Solution

    |

  4. If vec a is a non-zero vector, then (1/|vec a|) vec a is a..........

    Text Solution

    |

  5. If vec a, vecb are non-collinear vectors, then vec a, vecb and vec a +...

    Text Solution

    |

  6. The vector veca+vecb bisects the angle between the non collinear vecto...

    Text Solution

    |

  7. If vec r* vec a =0 = vec r* vec b ,where vec a and vec b are non-copla...

    Text Solution

    |

  8. If vec r* vec a =0 = vec r* vec b =0 and also vec r* vec c =0 for som...

    Text Solution

    |

  9. If vec a and vec b are any two vectors, then (vec a xx vec b)^2 +(vec ...

    Text Solution

    |

  10. If vec a is any non-zero vector, then (vec a*hat i)hat i + (vec a*hat ...

    Text Solution

    |

  11. If a is any vector, then (a xxhati)^(2)+(axx hatj)^(2)+(axxhatk)^(2)...

    Text Solution

    |

  12. If (atimesb)^(2)+(a*b)^(2)=144 and |a|=4, then find the value of |b|.

    Text Solution

    |

  13. If a non-zero vector vec a makes an angle α with positive direction o...

    Text Solution

    |

  14. The values of k, for which |k vec a| lt |vec a| and k vec a =1/2 vec a...

    Text Solution

    |

  15. The vectors vec a=3 hat i+2 hat j+2hat k and vec b=-hat i +2hat k are ...

    Text Solution

    |

  16. If vec a and vec b are any two vectors, then (vec a+ vec b)^2 +(vec a-...

    Text Solution

    |

  17. If vec(a) + vec(b) + vec(c) = 0 and |vec(a)| = 3, |vec(b)| = 5, |vec(c...

    Text Solution

    |

  18. If vec a is a non-zero vector and λ is a real number st. |λ vec a|= 1,...

    Text Solution

    |

  19. If the vectors vec a, vec b, vec c are coplanar then (vec a xx vec b)*...

    Text Solution

    |

  20. The value is (hat k xx hat j)* hat i +hat j* hatk is.............

    Text Solution

    |