Home
Class 11
PHYSICS
If vecA=3hati-4hatj and hatB=-hati-4hatj...

If `vecA=3hati-4hatj` and `hatB=-hati-4hatj`, calculate the direction of `vecA+vecB`

A

`tan^(-1)(4)` with positive X-axis in close wise

B

`tan^(-1)(4)` with X-axis in clock wise

C

`tan^(-1)(4)` with positive X-axis in anticlock wise

D

`tan^(-1)(4)` with negative X-axis in anticlock wise

Text Solution

Verified by Experts

The correct Answer is:
A
`vecR=vecA+vecB,vecR=R_(x)hati+R_(y)hatj , Tan alpha=(R_(y))/(R_(x))`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If vecA=3hati-4hatj and vecB=-hati-4hatj , calculate the direction of vecA-vecB .

For vectors vecA=3hati-4hatj+5hatk and vecB=hati-hatj-hatk , calculate the value of (vecA+vecB)xx(vecA-vecB)

If vecA=4hati-3hatj and vecB=6hati+8hatj then magnitude and direction of vecA+vecB will be

(a) Show that vector adition is commutative but vector subtraction is non-commutative . (b) For vectors vecA=3hati-4hatj+5hatk and vecB=hati-hatj-hatk , calculate the value of (vecA+vecB)xx(vecA-vecB)

If vecA=2hati+3hatj-hatk and vecB=-hati+3hatj+4hatk then projection of vecA on vecB will be

If vecA=4hati+6hatj and vecB=2hati+3hatj . Then

The diagonals of a parallelogram are vectors vecA and vecB . If vecA=5hati-4hatj+3hatk and vecB=3hati-2hatj-hatk . Calculate the magnitude of area of this parallelogram.

If vecA=3hati+hatj+2hatk and vecB=2hati-2hatj+4hatk , then value of |vecA+vecB| will be

If vecA=9hati-7hatj+5hatk and vecB=3hati-2hatj-6hatk then the value of (vecA+vecB).(vecA-vecB) is

If vecA=3hati+hatj+2hatk and vecB=2hati-2hatj+4hatk then value of |vecAxxvecB| will be

Knowledge Check

  • If vecA=3hati-4hatj and vecB=-hati-4hatj , calculate the direction of vecA-vecB .

    A
    along positive x-axis
    B
    along negative x-axis
    C
    along positive y-axis
    D
    along negative y-axis

  • If vecA=4hati-3hatj and vecB=6hati+8hatj then magnitude and direction of vecA+vecB will be

    A
    `5, tan^(-1)(3//4)`
    B
    `5sqrt(5),tan^(-1)(1//2)`
    C
    `10,tan^(-1)(5)`
    D
    `25, tan^(-1)(3//4)`

  • If vecA=2hati+3hatj-hatk and vecB=-hati+3hatj+4hatk then projection of vecA on vecB will be

    A
    `3/(sqrt(13))`
    B
    `3/(sqrt(26))`
    C
    `sqrt(3/26)`
    D
    `sqrt(3/13)`
    • NARAYNA-VECTORS-LEVEL-I (C.W)
    1. If vecA=3hati-4hatj and hatB=-hati-4hatj, calculate the direction of v...

      Text Solution

      |

    2. Two vectors are given by veca=2vecb-vecc=0 then thrid vector vecc is

      Text Solution

      |

    3. The vector sum of two vectors of magnitudes 10 units and 15 units can ...

      Text Solution

      |

    4. The car makes a displacement of 100m towards east and then 200m toward...

      Text Solution

      |

    5. If a vector has an x-component of -250units and a y-component of 40.0 ...

      Text Solution

      |

    6. A force of 10N is resolved into the perpendiuclar components. If the f...

      Text Solution

      |

    7. If the system is in equilibrium (cos53^(@)=3//5), then the value of ...

      Text Solution

      |

    8. Two billiard balls are moving on a table and the component velocities ...

      Text Solution

      |

    9. If vecA=2hati-3hatj+4hatk, its components in YZ-plane and ZX-plane are...

      Text Solution

      |

    10. A car weighing 100kg is on a slope that makes and angle 30^(@) with th...

      Text Solution

      |

    11. A room has dimensions 3mxx4mxx5m. A fly starting at one corner ends up...

      Text Solution

      |

    12. If vecP=hati+2hatj+6hatk, its direction cosines are

      Text Solution

      |

    13. The value of 'm', if hati+2hatJ-3hatk is parallel to 3hati+mhatj-9hatk...

      Text Solution

      |

    14. A force 2hati+hatj-hatk newton acts on a body which is initially at re...

      Text Solution

      |

    15. When a force vector vecF=(hati+2hatj+hatk)N acts on a body and produce...

      Text Solution

      |

    16. The angle between the two vectors vecA=hati+2hatj-hatk and vecBi=-hati...

      Text Solution

      |

    17. In a righht angled triangle the three vectors veca,vecb and vecc add t...

      Text Solution

      |

    18. A vector parallel to the vector (hati+2hatj) and having magnitude 3sqr...

      Text Solution

      |

    19. If vec2hati+3hatj and vecB=2hatj+3hatk the component of vecB along vec...

      Text Solution

      |

    20. if the vectors P = alphahati+alphaj+3hatk and Q = alphahati - 2 hatj -...

      Text Solution

      |