Home
Class 11
PHYSICS
If vecA=3hati+4hatjandvecB=7hati+24hatj,...

If `vecA=3hati+4hatjandvecB=7hati+24hatj`, find a vector having the same magnitude as `vecB` and parallel to `vecA`.

Text Solution

Verified by Experts

`|vecA|=sqrt(3^(2)+4^(2))=5`
also `|vecB|=sqrt(7^(2)+24^(2))=25`
desired vector `=|vecB|hatA=25xx(3hatik+4hatj)/(5)=5(3hati+4hatj)=15hati+20hatj`.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    FULL MARKS|Exercise TEXTUAL QUESTIONS SOLVED (NUMERICAL QUESTIONS)|44 Videos
  • KINEMATICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (SHORT ANSWER QUESTIONS (1 MARK))|102 Videos
  • KINEMATICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (SHORT ANSWER QUESTIONS - 1 (2 MARKS))|20 Videos
  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Numerical Problems)|16 Videos
  • KINETIC THEORY OF GASES

    FULL MARKS|Exercise Addtional Numerical Problems|10 Videos

Similar Questions

Explore conceptually related problems

If veca=4hati+6hatj and vecb=3hatj+4hatk find the vector component of veca alond vecb .

If veca=3hati-2hatj+hatk and vecb=2hati-4hatj+hatk then find |veca-2vecb|.

If vec(A)+2hati-hatj and vecB=4hati-3hatj then, obtain the scalar magnitude and direction from x - axis of, vecA

Given two vectors vecA=2hati+4hatj+5hatkandvecB=hati+3hatj+6veck . Find the product vecA.vecB and the magnitudes of vecAandvecB . What is the angle between them?

If veca=hati+hatj+hatk and vecb = hati-2hatj+hatk then find vector vecc such that veca.vecc = 2 and veca xx vecc = vecb

If veca=2hati+3hatj-4hatk,vecb=3hati-4hatj-5hatk, and vecc=-3hati+2hatj+3hatk, find the magnitude and direction cosines of veca+vecb+vecc

For given vectors veca=2hati-hatj+2hatkandvecb=-hati+hatj-hatk , find the unit vector in the direction of the vector veca+vecb .

If veca' = hati + hatj, vecb'= hati - hatj + 2hatk nad vecc' = 2hati - hatj + hatk then the altitude of the parallelepiped formed by the vectors, veca, vecb and vecc having baswe formed by vecb and vecc is ( where veca' is recipocal vector veca )

If veca=2hati+3hatj-4hatk,vecb=3hati-4hatj-5hatk, and vecc=-3hati+2hatj+3hatk, find the magnitude and direction cosines of 3veca-2vecb+5vecc

If veca= 2hati+3hatj-4hatk, vecb=3hati-4hatj-5hatk" and "vecc= -3hati+2hatj+3hatk , find the magnitude and direction cosines of veca+vecb+vecc .

FULL MARKS-KINEMATICS-ADDITIONAL QUESTIONS SOLVED (NUMERICAL QUESTIONS)
  1. The V-t graphs of two objects make angle 30^(@) and 60^(@) with the ti...

    Text Solution

    |

  2. When the angle between two vectors of equal magnitudes is 2/3, prove t...

    Text Solution

    |

  3. If vecA=3hati+4hatjandvecB=7hati+24hatj, find a vector having the sam...

    Text Solution

    |

  4. What is the vector sum of n coplanar forces, each of magnitude F, if e...

    Text Solution

    |

  5. A van is moving along x-axis . As shown in the figure , it moves from...

    Text Solution

    |

  6. On a 60 km straight road, a bus travels the first 30km with a uniform ...

    Text Solution

    |

  7. The displacement r of a particle varies with time as x=4t^(2)-15t+25 ...

    Text Solution

    |

  8. A driver takes 0.20 second to apply the brakes (reaction time). If he ...

    Text Solution

    |

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

    Text Solution

    |

  10. A ball is thrown vertically upwards with the speed of 19.6 ms^(-1) fro...

    Text Solution

    |

  11. Two town A and B are connected by a regular bus service with a bus lea...

    Text Solution

    |

  12. A motorheal is racing towards north at 25kmh^(-1) and the water curren...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Find the value of lamda so that the vector vecA=2hati+lamdahatj+hatkan...

    Text Solution

    |