Home
Class 11
PHYSICS
Prove that for any vector veca, veca=(...

Prove that for any vector `veca`,
`veca=(veca. hati)hati+(veca. hatj)hatj+(veca. hatk)hatk`,

Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    CBSE COMPLEMENTARY MATERIAL|Exercise M.C.Q.|20 Videos

  • KINEMATICS

    CBSE COMPLEMENTARY MATERIAL|Exercise 5 Marks|2 Videos

  • GRAVITATION

    CBSE COMPLEMENTARY MATERIAL|Exercise MULTIPLE CHOICE QUESTIONS|19 Videos

  • KINETIC THEORY OF GASES

    CBSE COMPLEMENTARY MATERIAL|Exercise Objective question|20 Videos

Similar Questions

Explore conceptually related problems

(veca hati)hati + (veca hatj)hatj + (veca hatk) hatk is value of :

Statement 1: If veca, vecb are non zero and non collinear vectors, then vecaxxvecb=[(veca, vecb, hati)]hati+[(veca, vecb, hatj)]hatj+[(veca, vecb, hatk)]hatk Statement 2: For any vector vecr vecr=(vecr.hati)hati+(vecr.hatj)hatj+(vecr.hatk)hatk

If veca is any non-zero vector, then (veca.hati).hati+(veca.hatj).hatj+(veca.veck)hatk is equal to …….

For any vectors veca and vecb, (veca xx hati) + (vecb xx hati) + ( veca xx hatj) . (vecb xx hatj) + (veca xx hatk ) .(vecb xx hatk) is always equal to

prove that (veca.(vecbxxhati)hati(veca.(vecbxxhatj))hatj+ (veca.(vecbxxhatk))hatk=vecaxxvecb

If veca,vecb are non-collinear vectors, then [(veca,vecb,hati)]hati+[(veca,vecb,hatj)]hatj+[(veca,vecb,hatk)]hatk=

{veca.(vecbxxhati)}hati+{veca.(vecbxxhatj)}hatj+{veca.(vecbxxhatk)}hatk=

prove that (veca.(vecbxxhati)hati+(veca.(vecbxxhatj))hatj+ (veca.(vecbxxhatk))hatk=vecaxxvecb

CBSE COMPLEMENTARY MATERIAL-KINEMATICS-Numericals
  1. A car is moving along x-axis. As shown in figure it moves from O to P ...

    Text Solution

    |

  2. On a 60 km track, a train travels the first 30 km with a uniform speed...

    Text Solution

    |

  3. The displacement x of a particle varies with time as x = 4t^(2) – 15t ...

    Text Solution

    |

  4. A driver takes 0.20 s to apply the brakes after he sees a need for it....

    Text Solution

    |

  5. From the top of a tower 100 m in height a ball is dropped and at the s...

    Text Solution

    |

  6. A ball throuwn vertically upwards with a speed of 19.6ms^(-1) from the...

    Text Solution

    |

  7. Two towns A and B are connected by a regular bus service with a bus le...

    Text Solution

    |

  8. A motor boat is racing towards North at 25 km//h and the water current...

    Text Solution

    |

  9. An aircraft is flying at a height of 3400 m above the ground, If the ...

    Text Solution

    |

  10. A boat is moving with a velocity (3hati+4hatj) with respect to ground....

    Text Solution

    |

  11. A hiker stands on the edge of a cliff 490 m above the ground and throw...

    Text Solution

    |

  12. A bullet fired at an angle of 30^(@) with the horizontal hits the grou...

    Text Solution

    |

  13. A stone tied to the end of a string 80 cm long is whirled in a horizon...

    Text Solution

    |

  14. A cyclist is riding with a speed of 27 kmh^(-1) . As he approaches a c...

    Text Solution

    |

  15. If the magnitude of two vectors are 3 and 4 and their scalar product i...

    Text Solution

    |

  16. Find the value of λ so that the vector vecA=2hati+lambda hatj+hatk and...

    Text Solution

    |

  17. The velocity time graph of a particle is given by (i) Calculate d...

    Text Solution

    |

  18. If veca, vecb and vecc are represented by three sides of equilateral t...

    Text Solution

    |

  19. Prove that for any vector veca, veca=(veca. hati)hati+(veca. hatj)ha...

    Text Solution

    |

  20. The resultant vector of vec(P) and vec(Q) is vec(R). On reversing the ...

    Text Solution

    |