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

If `theta` is the angle between two vectors `vec a` and `vec b`, then `veca. `b` 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`

Text Solution

Verified by Experts

The correct Answer is:
(b)
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise UNIT TEST|7 Videos
  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|27 Videos
  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise ADDITIONAL QUESTIONS FOR PRACTICE 10.5|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

If theta is the angle between two vectors vecaandvecb then veca*vecbge0 only when

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

If theta is the between the vector vec(a)andvec(b)," then " sintheta is

If theta is the angle between the unit vectors vec a and vec b , then prove that sin (theta)/(2) = 1/2|vec a - vec b|

If theta is the angle between the unti vectors vec a and vec b , then proves that cos((theta)/(2)) = 1/2 |vec a + vec b| .

Find the angle between the vecctors vec a and vec b with magnitudes 1 and 2 respectively and when vec a. vec b = sqrt(3)

Find the angle betweeen two vectors vec a and vec b with magnitudes 2 and 1 respectively and such that veca. vec b = sqrt3 .

Find the angle between two vectors vec a and vec b with magnitudes sqrt3 and 2, respectivey having vec a. vec b = sqrt6 .

For any two vectors veca and vec b show that |vec a. vec b| le |vec a||vec b| .

Find the angle between the vectors veca and vecb such that |vec a| = |vec b| = sqrt 2 and veca.vecb = 1 .

NEW JOYTHI PUBLICATION-VECTOR ALGEBRA-SOLUTION TO EXERCISE MISCELLANEOUS EXERCISE
  1. Write down a unit vector in XY - plane making an angle of 30^(@) with ...

    Text Solution

    |

  2. Find the scalar components and magnitude of the vector joining the poi...

    Text Solution

    |

  3. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

    Text Solution

    |

  4. If veca = vec b+ vec c, then is it true that |veca| = |vec b| + |vec ...

    Text Solution

    |

  5. Find the value of x for which x (hat i + hat j + hat k) is a unit vect...

    Text Solution

    |

  6. Find a vector of magnitude 5 units, and parallel to the resultant of t...

    Text Solution

    |

  7. If vec a = hat i + hat j + hat k, vec b = 2 hat i - hat j + 3 hat k an...

    Text Solution

    |

  8. Show that the points A(1, -2, -8) B (5, 0, -2) and C(11, 3, 7) are col...

    Text Solution

    |

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

    Text Solution

    |

  10. The two adjacent sides of a parallelogram are 2 hat i - 4 hat j + 5 ha...

    Text Solution

    |

  11. Show that the direction cosines of a vector equally inclined to the ax...

    Text Solution

    |

  12. Let vec a= hat i+4 hat j+2 hat k ,\ vec b=3 hat i-2 hat j+7 hat k\ a...

    Text Solution

    |

  13. Thescalar product of the vector hat i + hat j + hat k with a unit vect...

    Text Solution

    |

  14. If vec a , vec b , vec c are mutually perpenedicular vectors of eq...

    Text Solution

    |

  15. Prove that (vec a + vec b).(vec a + vec b) = | vec a|^(2) + |vec b|^(2...

    Text Solution

    |

  16. If theta is the angle between two vectors vec a and vec b, then veca. ...

    Text Solution

    |

  17. If vec a\ a n d\ vec b be two unit vectors and theta is the angle be...

    Text Solution

    |