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Write all the unit vectors in X Y-p l a ...

Write all the unit vectors in `X Y-p l a n edot`

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Knowledge Check

  • If x and y are two unit vectors and phi is the angle between them, then (1)/(2) |x-y| is equal to

    A
    0
    B
    `|sin(phi/2)|`
    C
    `|sin(1)/(2)phi|`
    D
    `|cos(1)/(2)phi|`

  • A force F=Ai+Bj is applied to a point whose radius vector relative to the origin of coordinates O is equal to r=ai+bj , where a, b, A, B are constants, and i,j are the unit vectors of the x and y axes. Find the moment N and the arm l of the force F relative to the point O.

    A
    `(aB-Ab)/(sqrt(A^2+B^2))`
    B
    `(aA-Bb)/(sqrt(A^2+B^2))`
    C
    `(aB+Ab)/(sqrt(A^2+B^2))`
    D
    `(Ab-aB)/(sqrt(A^2+B^2))`

  • hati and hatj are unit vectors along x and y axis. What is the magnitude and direction of the vector hati + hatj ?

    A
    `1.414, 45^(@)`
    B
    `1.732, 45^(@)`
    C
    `1.850, 30^(@)`
    D
    `1.325,60^(@)`

    • Similar Questions

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    If vec c is a unit vector perpendicular to the vectors vec a\ a n d\ vec b write another unit vector perpendicular vec a\ a n d\ vec bdot

    Write the law of reflection of a light beam from a mirror in vector from, using the directing unit vectors e and e' of the incident and reflected beams and the unit vector n of the outside normal to the mirror surrfcae.

    A vector makes angles 60^@ and 45^@ with x and y axes respectively. If the angle between the vector and x-Y plane in degrees is 5n find n.

    Write a unit vector perpendicular to hat i+ hat j\ a n d\ hat j+ hat kdot

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