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If the direction cosines of a variable l...

If the direction cosines of a variable line in two adjacent points be `l, M, n and l+deltal,m+deltam+n+deltan` the small angle `deltatheta`as between the two positions is given by

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If the direction cosines of a variable line in two adjacent points be l,M,n and l+delta l,m+delta m+n+delta n the small angle delta theta as between the two positions is given by

The direction-cosines of a moving line in two adjacent positions are l, m, n and l+delta1, m+deltam, n+ deltan . The small angle deltatheta between the positions is given by (deltatheta)^(2)=(deltal)^(2)+(deltam)^(2)+(deltan)^(2)

Knowledge Check

  • If l , m, n are the direction consines of a line, then

    A
    `l+m+n=0`
    B
    `l+m+n=1`
    C
    `l^(2)+m^(2)+n^(2)=1`
    D
    `l^(2)+m^(2)+n^(2)=0`

  • If a variable line in two adjacent position has direction cosines l,m,n and l+delta l, m+delta m, n+delta n and delta theta is the angel between two positions, then (delta l)^(2)+(delta m)^(2)+(delta n)^(2)=

    A
    `2(delta theta)^(2)`
    B
    `(delta theta)^(2)`
    C
    `3(delta theta)^(2)`
    D
    `4(delta theta)^(2)`

  • If l,m,n are direction cosines of a line , then vector li +mj+nk is a

    A
    null vector
    B
    unit vector
    C
    non-unit vector
    D
    bound vector

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