Home
Class 11
PHYSICS
If vec A cdot vec B =0 and vec A xx vec ...

If `vec A cdot vec B =0 and vec A xx vec C=0`, then the angle between B and C is

A

0

B

`45^(@)`

C

`90^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C

`vec A cdot vec B =0" "therefore A bot B and vec A xx vec C =0`
`therefore A||C`
`therefore` As A and C are parallel and `A bot B`
`therefore vec B bot vec C and theta =90^(@)`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos
  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos
  • REFRACTION OF LIGHT

    MARVEL PUBLICATION|Exercise Test Your Grasp|10 Videos

Similar Questions

Explore conceptually related problems

If vec(A) + vec(B) = vec(C ) and A + B = C , then the angle between vec(A) and vec(B) is :

If three unit vectors vec a,vec b, and vec c satisfy vec a+vec b+vec c=0, then find the angle between vec a and vec b

If |vec a|=3,|vec b|=5,|vec c|=7 and vec a+vec b+vec c=0 then angle between vec a and vec b is

If |vec a|+|vec b|=|vec c| and vec a+vec b=vec c, then find the angle between vec a and vec b

Vector vec a,vec b and vec c are such that vec a+vec b+vec c=vec 0 and |a|=3,|vec b|=5 and |vec c|=7. Find the angle between vec a and vec b.

vec b,vec c are unit vectors and |vec a|=7vec a xx(vec b xxvec c)+vec b xx(vec c xxvec a)=(1)/(2)vec a then the angle between vec a and vec a is

If vec a + vec b = vec c and | vec a | = | vec b | = | vec c | find the angle between vec a and vec b

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

Let veca, vecb, vec c such that |veca| = 1 , |vecb| = 1 and |vec c | = 2 and if veca xx (veca xx vec c ) + vec b = 0 then find acute angle between veca and vec c

If vec a+vec b+vec c=0 and |vec a|=3,|vec b|=5 and |vec c|=7, show that the angle between vec a and vec b is 60^(@) .

MARVEL PUBLICATION-VECTORS-MULTIPLE CHOICE QUESTIONS (STANDARD LEVEL)
  1. An engine exerts a force F=(20hati-3hatj+5hatk) N and moves with veloc...

    Text Solution

    |

  2. A force (3 hat(i)+4 hat(j)) acts on a body and displaces it by (3 hat(...

    Text Solution

    |

  3. A particle moves with a velocity of 6hati-4hatj+3hatk m//s under the a...

    Text Solution

    |

  4. A force vec F=(2hati+2hatk) N displaces a body by an amount vec S=(2ha...

    Text Solution

    |

  5. vec P and vec Q are two perpendicular vectors. If vec P = 5 hati +7hat...

    Text Solution

    |

  6. What is the angle between two vectors 2 vec i+3vecj+veck and -3vec i+6...

    Text Solution

    |

  7. Under a force (10hati-3hatj+6hatk) newton a body of mass 5 kg moves fr...

    Text Solution

    |

  8. What is the work done when a force vec F =2hati +3hatj-5hatk units act...

    Text Solution

    |

  9. What is the anlge between vec P xx vec Q and vec Q xx vec P is

    Text Solution

    |

  10. If |vec P xx vec Q|=PQ then the angle between vec P and vec Q is

    Text Solution

    |

  11. If |vec P xx vec Q|=PQ then the angle between vec P and vec Q is

    Text Solution

    |

  12. The magnitude of the vector product of two vectors is sqrt(3) times th...

    Text Solution

    |

  13. Two vectors vec P and vec Q of the same type with tails at a point O a...

    Text Solution

    |

  14. You are given two vectors vec P=2hati-3hatj-hatk and vec Q =-6hati+9ha...

    Text Solution

    |

  15. If vec A cdot vec B =0 and vec A xx vec C=0, then the angle between B ...

    Text Solution

    |

  16. The linear velocity of a particle on a rotating body is given by vec v...

    Text Solution

    |

  17. The torque of the force vecF=(2hati-3hatj+4hatk)N acting at the point ...

    Text Solution

    |

  18. O is the centre of an equilateral triangle ABC. vec F(1), vec F(2) and...

    Text Solution

    |

  19. If vec(A) xx vec(B) = vec(B) xx vec(A), then the angle between A to B ...

    Text Solution

    |

  20. If vec(a) and vec(b) are two vectors then the value of (vec(a) + vec(b...

    Text Solution

    |