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Let vec(AB) be a vector in two dimension...

Let `vec(AB)` be a vector in two dimensional plane with magnitude 4 units. And making an anle of `60^0` with x-axis, and lying in first quadrant. Find the components of `vec(AB)` in terms of unit vectors `hati and hatj`. so verify that calculation of components is correct.

Answer

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Knowledge Check

  • A vector of magnitude 14 lies in the xy-plane and makes an angle of 60^@ with x -axis . The components of the vector in the direction of x -axis and y-axis are

    A
    `7, 7 sqrt3`
    B
    `7sqrt3 , 7`
    C
    `14sqrt3, 14//sqrt3`
    D
    `14//sqrt3 , 14sqrt3`

  • X- component of vec(a) is twice of its Y- component. If the magnitude of the vector is 5sqrt(2) and it makes an angle of 135^(@) with z-axis then the components of vector is:

    A
    `2sqrt(3), sqrt(3), -3`
    B
    `2sqrt(6), sqrt(6), -6`
    C
    `2sqrt(5), sqrt(5), -5`
    D
    None of these

  • A displacement vector, at an angle of 30^(@) with y-axis has an x-component of 10 units. Then the magnitude of the vector is-

    A
    5
    B
    10
    C
    11.5
    D
    20

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    Vector vec(A) makes equal angles with x-,y-,and z-axis. Find the value of its components (in terms of magnitude of vec(A) )

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