Home
Class 11
PHYSICS
If A.B=AxxB, then angle between A and B ...

If `A.B=AxxB`, then angle between `A` and `B` is

A

`45^(@)`

B

`30^(@)`

C

`60^(@)`

D

`90^(@)`

Text Solution

AI Generated Solution

To solve the problem, we need to find the angle between the two vectors \( A \) and \( B \) given that their dot product is equal to their cross product in magnitude. ### Step-by-Step Solution: 1. **Understand the Given Condition**: We are given that \( A \cdot B = |A| \times |B| \). This means that the dot product of vectors \( A \) and \( B \) is equal to the product of their magnitudes. 2. **Write the Dot Product Formula**: ...
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    BITSAT GUIDE|Exercise BITSAT Archives|9 Videos
  • SIMPLE HARMONIC MOTION

    BITSAT GUIDE|Exercise BITSAT Archives|12 Videos

Similar Questions

Explore conceptually related problems

If AxxB=BxxA then the angle between A and B is

If a and b are two vectos such that a.b lt 0 and |a.b|=|axxb| , then the angle between a and b is

Let A,B and C be the unit vectors . Suppose that A.B=A.C =0 and the angle between B and C is (pi)/(6) then prove that A = +-2(BxxC)

If vec(A) and vec(B) denote the sides of a parallelogram and its area is AB/2 , the angle between vec(A) and vec(B) is :-

Vectors a and b are such that |a|=1,|b|=4 and a.b=2." If " c=2axxb-3b , then the angle between b and c is

If A and B denote the sides of a parallelogram and its area is 1/2AB ( A and B are magnitude of A and B respectively), the angle between A and B is

If vec A and vec B denote the sides of a parallelogram of area AB/ 2 , then the angle between vec A and vec B is ____.

BITSAT GUIDE-SCALARS AND VECTORS-All Questions
  1. The vertices of a quadrilateral are A(1,2,-1), B(-4, 2,-2), C(4,1,-5) ...

    Text Solution

    |

  2. A force F=ahati+bhatj+chatk is acted upon a body of mass m. If the bod...

    Text Solution

    |

  3. The angle between vector a=2hati+hatj-2hatk and b=3hati-4hatj is equal...

    Text Solution

    |

  4. Find the vector area of a triangle whose vertices are a,b, and c

    Text Solution

    |

  5. If three vectors xa-2b+3c, -2a+yb-4c and -zb+3c are coplanar, where a,...

    Text Solution

    |

  6. A force F=(2hati+3hatj-hatk)N is acting on a body at a position r=(6ha...

    Text Solution

    |

  7. Find the values of x and y for which vectors A=(6hati+xhatj-2hatk) and...

    Text Solution

    |

  8. Find the area oif the parallelogram determined A=2hati+hatj-3hatk and ...

    Text Solution

    |

  9. Choose the correct option

    Text Solution

    |

  10. The three conterminous edges of parallelopiped are a=2hati-6hatj+3hatk...

    Text Solution

    |

  11. If the three vectors are coplanar, then find x. A=hati-2hatj+3hatk, ...

    Text Solution

    |

  12. A particle is moving along a circular path with a constant speed 30m//...

    Text Solution

    |

  13. One day in still air, a motor-cyclist riding norht at 30m//s, suddenly...

    Text Solution

    |

  14. Calculate the distance travelled by the car, if a car travels 4km towa...

    Text Solution

    |

  15. One one rainy day a car starts moving with a constant acceleration of ...

    Text Solution

    |

  16. If A and B denote the sides of a parallelogram and its area is 1/2AB (...

    Text Solution

    |

  17. A vector vecF(1) is along the positive X-axis. If its vectors product ...

    Text Solution

    |

  18. The component of vector A=a(x)hati+a(y)hatj+a(z)hatk and the directioi...

    Text Solution

    |

  19. If A.B=AxxB, then angle between A and B is

    Text Solution

    |

  20. If a=hati+2hatj-3hatk and b=3hati+2hatk then the angle between the vec...

    Text Solution

    |