Home
Class 12
MATHS
If a=hati+2hatj+3hatk,b=-hati+2hatj+hatk...

If `a=hati+2hatj+3hatk,b=-hati+2hatj+hatk and c=3hati+hatj`, then the unit vector along its resultant is

A

`3hati+5hatj+4hatk`

B

`(3hati+5hatj+4hatk)/(50)`

C

`(3hati+5hatj+4hatk)/(5sqrt(2))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C

`R=3hati+5hatj+4hatk`
`impliesR=(3hati+5hatj+4hatk)/(5sqrt(2))`.
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise VECTOR ALGEBRA EXERCISES 1: Single Option Correct Type Questions|1 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|7 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 3|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

If a=hati+2hatj+3hatk,b=-hati+2hatj+hatk and c=3hati+hatj . If (a+tb) bot c , then t is equal to

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

If veca=5hati+hatj-4hatk, vecb=2hati-3hatj+hatk and vecc=hati+3hatj-2hatk then find a unit vector parallel to the vector 2veca+vecb+3vecc .

If veca=2hati-hatj+3hatk,vecb =hati+hatj-hatk, vecc=3hati+4hatj-5hatk , then find a unit vector parallel to the vector 3veca+vecb-vecc .

If veca = hati + hatj+hatk, vecb = 2hati-hatj+3hatk and vecc = hati-2hatj+hatk , find a unit vector parallel to the vector 2veca - vecb + 3vecc

If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk , then find a unit vector parallel to the vector 2veca-vecb+3vecc .

If veca=5hati+hatj-4hatk,vecb=2hati+3hatj+hatk,vecc=hati+3hatj-2hatk , then find a unit vector parallel to the vector 2veca-vecb+3vecc .

If a=2hati-hatj+2hatk and b=-hati+hatj-hatk , then find a+b. Also, find a unit vector along a+b.

If veca=2hati+2hatj+hatk and vecb=2hati+hatj+hatk then the unit vector in the direction of veca-vecb is:

Let a=2hati+hatj+hatk,b=hati+2hatj-hatk and c is a unit vector coplanar to them. If c is perpendicular to a, then c is equal to

ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. If a=2hati+5hatj and b=2hati-hatj, then the unit vector along a+b will...

    Text Solution

    |

  2. Find the unit vector parallel to the resultant vector of 2hati+4hatj-5...

    Text Solution

    |

  3. If a=hati+2hatj+3hatk,b=-hati+2hatj+hatk and c=3hati+hatj, then the un...

    Text Solution

    |

  4. If a=(2,5) and b=(1,4), then vector parallel to (a+b) is

    Text Solution

    |

  5. In the DeltaABC,AB=a,AC=c and BC=b, then

    Text Solution

    |

  6. If O is origin annd the position vector fo A is 4hati+5hatj, then unit...

    Text Solution

    |

  7. The position vectors of the points A,B and C are hati+2hatj-hatk,hati+...

    Text Solution

    |

  8. The position vectors of P and Q are 5hati+4hatj+ahatk and -hati+2hatj-...

    Text Solution

    |

  9. If position vector of points A,B and C are respectively hati,hatj, and...

    Text Solution

    |

  10. The position vectors of A and B are 2hati-9hatj-4hatk and 6hati-3hatj+...

    Text Solution

    |

  11. If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2...

    Text Solution

    |

  12. If the position vectors of P and Q are hati+2hatj-7hatk and 5hati-2hat...

    Text Solution

    |

  13. If the position vectors of A and B are hati+3hatj-7hatk and 5hati-2hat...

    Text Solution

    |

  14. The direction cosines of vector a=3hati+4hatj+5hatk in the direction o...

    Text Solution

    |

  15. The direction cosines of the vector 3hati-4hatj+5hatk are

    Text Solution

    |

  16. The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk ...

    Text Solution

    |

  17. If the position vectors of the vertices A,B and C of a DeltaABC are 7h...

    Text Solution

    |

  18. If a,b and c are the position vectors of the vertices A,B and C of the...

    Text Solution

    |

  19. If a and b are position vector of two points A,B and C divides AB in r...

    Text Solution

    |

  20. Find the position vector of the point which divides the join of the po...

    Text Solution

    |