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

If `theta` is the angle between any two vectors `vecaandvecb`, then `|veca*vecb|=|vecaxxvecb|` when `theta` is equal to

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

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practive Work|36 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|17 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.5|8 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

If theta is angle between two vectors vec(a) and vec(b) then vec(a).vec(b)ge 0 only when …….

For any two vectors vecaandvecb , we always have |veca*vecb|le|veca||vecb| (Cauchy- Schwartz inequality).

For any two vectors vecaandvecb , we always have |veca+vecb|le|veca|+|vecb| (triangle inequality).

The angle between the vectors vecA and vecB is theta. The value of vecA(vecAxx vec B) is -

The angle between vectors (vecA xx vecB) and (vecB xx vecA) is :

Two vectors vecA and vecB are such that vecA+vecB=vecA-vecB . Then

When vecA.vecB=-|vecA||vecB| , then :-

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

Show (veca-vecb)x(veca+vecb)=2(vecaxxvecb)

KUMAR PRAKASHAN-VECTOR ALGEBRA -MISCELLANEOUS EXERCISE - 10
  1. Write down a unit vector in XY-plane, making an angle of 30^(@) with t...

    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=vecb+vecc , then is it true that |veca|=|vecb|+|vecc|? Justify...

    Text Solution

    |

  5. Find the value of x for which x(hati+hatj+hatk) is a unit vector.

    Text Solution

    |

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

    Text Solution

    |

  7. If veca=hati+hatj+hatk,vecb=2hatj-hatj+3hatkandvecc=hati-2hatj+hatk, ...

    Text Solution

    |

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

    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 2hati-4hatj+5hatk and ha...

    Text Solution

    |

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

    Text Solution

    |

  12. Let vec(a)=hati+4hatj+2hatk,vec(b)=3hati-2hatj+7hatk and vec( c )=2hat...

    Text Solution

    |

  13. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

    Text Solution

    |

  14. If vec(a),vec(b),vec( c ) are mutually perpendicular vectors of equal ...

    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 angle between two vectors vec(a) and vec(b) then vec(a).ve...

    Text Solution

    |

  17. Let vec(a) and vec(b) be two unit vectors and theta is the angle betwe...

    Text Solution

    |

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

    Text Solution

    |

  19. If theta is the angle between any two vectors vecaandvecb, then |veca*...

    Text Solution

    |