Home
Class 12
PHYSICS
Three vectors vecA, vecB and vecC satisf...

Three vectors `vecA, vecB` and `vecC` satisfy the relation `vecA. vecB=0` and `vecA. vecC=0.` The vector `vecA` is parallel to

A

`vecB` and `vecC`

B

`vecAxxvecB`

C

`vecB+vecC`

D

`vecB xx vecC`

Text Solution

Verified by Experts

The correct Answer is:
D
Vector triple product
`vecAxx(vecBxxvecC)=vecB(vecA.vecC)-vecC(vecA.vecB)=0`
`rArr vecA|| (vecBxxvecC)` [ `because vecA . vecB=0` and `vecA.vecC`=0]
`rArr A^2+B^2 + 2vecA.vecB=C^2`
`rArr 3^2+4^2 + 2vecA.vecB=5^2 rArr 2vecA.vecB=0` or `rArr vecA.vecB=0`
`therefore vecA bot vecB`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    DISHA PUBLICATION|Exercise Exercise -2 : CONCEPT APPLICATOR|28 Videos

  • MOTION IN A PLANE

    DISHA PUBLICATION|Exercise Exercise -2 : CONCEPT APPLICATOR|28 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|24 Videos

  • MOTION IN A STRAIGHT LINE

    DISHA PUBLICATION|Exercise Exercise-2|30 Videos

Similar Questions

Explore conceptually related problems

If three vectors vecA, vecB and vecC satisfy the relation vecA.vecB = 0 & vecA.vecC = 0 then the vector vecA is parallel to vecB xx vecC . Statement-2 : vecA _|_vecB and vecA_|_vecC hence A is perpendicular to plane formed by vecB and vecC .

Assertion: If three vectors vecA,vecB and vecC satisfy the relation vecA.vecB=0 & vecA.veC=0 then the vector vecA may be parallel to vecBxxvecC .

Four vectors veca, vecb, vecc and vecx satisfy the relation (veca.vecx)vecb=vecc+vecx where vecb.veca ne 1 . The value of vecx in terms of veca, vecb and vecc is equal to

If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb = vecc then:

vecA, vecB and vecC are vectors such that vecC= vecA + vecB and vecC bot vecA and also C= A . Angle between vecA and vecB is :

Three vectors vecA,vecB and vecC are such that vecA=vecB+vecC and their magnitudes are in ratio 5:4:3 respectively. Find angle between vector vecA and vecC

If two out to the three vectors , veca, vecb , vecc are unit vectors such that veca + vecb + vecc =0 and 2(veca.vecb + vecb .vecc + vecc.veca) +3=0 then the length of the third vector is

The vectors veca and vecb are not perpendicular and vecac and vecd are two vectors satisfying : vecbxxvecc=vecbxxvecd and veca.vecd=0. Then the vecd is equal to (A) vecc+(veca.vecc)/(veca.vecb)vecb (B) vecb+(vecb.vecc)/(veca.vecb)vecc (C) vecc-(veca.vecc)/(veca.vecb)vecb (D) vecb-(vecb.vecc)/(veca.vecb)vecc

If three unit vectors veca, vecb and vecc " satisfy" veca+vecb+vecc= vec0 . Then find the angle between veca and vecb .

DISHA PUBLICATION-MOTION IN A PLANE -Exercise -1 : CONCEPT BUILDER (TOPICWISE)
  1. Given vecP. vecQ=|vecPxxvecQ| and vecR=vecP+vecQ then |vecR| is

    Text Solution

    |

  2. P ,Q and R are three coplanar forces acting at a point and are in equi...

    Text Solution

    |

  3. Three vectors vecA, vecB and vecC satisfy the relation vecA. vecB=0 an...

    Text Solution

    |

  4. If rain falls vertically with a velocity Vr and wind blows with a velo...

    Text Solution

    |

  5. A river flows with a speed more than the maximum speed with which a pe...

    Text Solution

    |

  6. A ship A is moving westwards with a speed of 10 km h^(-1) and a ship B...

    Text Solution

    |

  7. A boat is moving with a velocity 2i + 3j with respect to ground. The w...

    Text Solution

    |

  8. A boat which has a speed of 6km/h in still water crosses a river of wi...

    Text Solution

    |

  9. A boat B is moving upstream with velocity 3 m/s with respect to ground...

    Text Solution

    |

  10. Two boys are standing at the ends A and B of a ground, where AB=a. The...

    Text Solution

    |

  11. A bus is moving on a straight road towards north with a uniform speed ...

    Text Solution

    |

  12. Two cars are moving in the same direction with the same speed 30 km//h...

    Text Solution

    |

  13. A particle moves in a plane with constant acceleration in a direction ...

    Text Solution

    |

  14. A particle reaches its highest point when it has covered exactly one h...

    Text Solution

    |

  15. The range of a projectile, when launched at an angle of 15^(@) with...

    Text Solution

    |

  16. a body is thrown horizontally with a velocity sqrt(2gh) from the top o...

    Text Solution

    |

  17. A projectile is thrown at an angle of 40^(@) with the horizontal and i...

    Text Solution

    |

  18. The equation of a projectile is y=sqrt(3)x-(gx^(2))/(2) the angle of...

    Text Solution

    |

  19. A gun fires two bulets at 60^(@) and 30^(@) with the horizontal The bu...

    Text Solution

    |

  20. A projectile thrown with a speed v at an angle theta has a range R on...

    Text Solution

    |