Home
Class 12
MATHS
If a=2hati-hatj+2hatk and b=-hati+hatj-h...

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

Text Solution

Verified by Experts

The correct Answer is:
`hati+hatk;(1)/(sqrt(2))hati+(1)/(sqrt(2))hatk`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 3|11 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|81 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 1|7 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 veca=3hati-hatj+2hatk and vecb=-hati-2hatj+4hatk , find a unit vector along the vector (veca+vecb) .

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

If a=hati+2hatj+2hatk and b=3hati+6hatj+2hatk , then find a vector in the direction of a and having magnitude as |b|.

IF veca=2hati-hatj+2hatk and vecb=6hati+2hatj+3hatk , find a unit vector parallel to veca+vecb .

If a=2hati+2hatj-8hatk and b=hati+3hatj-4hatk , then the magnitude of a+b is equal to

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 .

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

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

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 a=2hati-3hatj+hatk,b=-hati+hatk,c=2hatkj-hatk , then the area (in sq units) of parallelogram with diagonals a+b and b+c will be

ARIHANT MATHS-VECTOR ALGEBRA-Exercise For Session 2
  1. If a=2hati-hatj+2hatk and b=-hati+hatj-hatk, then find a+b. Also, find...

    Text Solution

    |

  2. Find a unit vector in the direction of the resultant of the vectors (h...

    Text Solution

    |

  3. Find the direction cosines of the resultant of the vectors (hati+hatj+...

    Text Solution

    |

  4. In a regular hexagon ABCDEF, AB=a,BC=b and CD=c. Then,vec(AE) is equa...

    Text Solution

    |

  5. Prove that 3vec(OD)+vec(DA)+vec(DB)+vec(DC) is equal to vec(OA)+vec(OB...

    Text Solution

    |

  6. In a regular hexagon ABCDEF, bar(AB) + bar(AC)+bar(AD)+ bar(AE) + bar(...

    Text Solution

    |

  7. ABCDE is a pentagon. Prove that the resultant of forces vec (AB), vec(...

    Text Solution

    |

  8. find the area of square whose side is 25 cm.

    Text Solution

    |

  9. If P(-1,2) and Q(3,-7) are two points, express the vector PQ in terms ...

    Text Solution

    |

  10. If vec(OP)=2hati+3hatj-hatk and vec(OQ)=3hati-4hatj+2hatk find the mod...

    Text Solution

    |

  11. Show that the points : A(2hati-hatj+hatk),B(hati-3hatj-hatk),C(3hati-4...

    Text Solution

    |

  12. If a=2hati+2hatj-hatk and |xveca|=1, then find x.

    Text Solution

    |

  13. If p=7hati-2hatj+3hatk and q=3hati+hatj+5hatk, then find the magnitude...

    Text Solution

    |

  14. Find a vector in the direction of 5hati-hatj+2hatk, which has magnitud...

    Text Solution

    |

  15. If a=hati+2hatj+2hatk and b=3hati+6hatj+2hatk, then find a vector in t...

    Text Solution

    |

  16. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  17. If the position vector of one end of the line segment AB be 2hati+3hat...

    Text Solution

    |