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Find the angle between the lines whose d...

Find the angle between the lines whose direction cosines has the relation `l+m+n=0 and 2l^(2)+2m^(2)-n^(2)=0`.

Text Solution

Verified by Experts

The correct Answer is:
`cos^(-1)((-1)/(3))`
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Find the angle between the line whose direction cosines are given by l+m+n=0 and 2l^(2)+2m^(2)-n^(2)-0

The angle between the lines whose direction cosines satisfy the equations l+m+n=0 and l^(2)=m^(2)+n^(2) is (1) (pi)/(3)(2)(pi)/(4)(3)(pi)/(6) (4) (pi)/(2)

Knowledge Check

  • The angle between the lines whose direction cosines satisfy the equation l+m+n=0andl^(2)=m^(2)+n^(2) is

    A
    `pi/(3)`
    B
    `pi/(4)`
    C
    `pi/(6)`
    D
    `pi/(2)`

  • The angle between the lines whose direction cosine satisfy the equations l + m + n = 0 and l^(2) =m^(2) +n^(2) is

    A
    `(pi)/(3)`
    B
    `(pi)/(4)`
    C
    `(pi)/(6)`
    D
    `(pi)/(2)`

  • The angle between the lines whose direction cosines are given by l+m+n=0 and l^(2)+ m^(2) - n^(2) = 0 is

    A
    `(pi)/(6)`
    B
    `(pi)/(4)`
    C
    `(pi)/(3)`
    D
    `(pi)/(2)`

    • Similar Questions

    Explore conceptually related problems

    Let alpha be the angle between the lines whose direction cosines satisfy the equation l+m-n=0 and l^2+m^2-n^2=0 then value of (Sinalpha)^4+(Cosalpha)^4 is

    Find the angle between the lines whose direction cosines are connected by the relations l+m+n=0and2lm+2nl-mn=0

    The angle between the lines whose direction cosines are given by 3l+4m+5n=0 , l^(2)+m^(2)-n^(2)=0 is

    Find the acute angle between the two straight lines whose direction cosines are given by l+m+n=0 and l^(2)+m^(2)-n^(2)=0

    Find the angle between the lines whose direction-cosines are given by : (i) l + m + n = 0, l^(2) + m^(2) - n^(2) = 0 (ii) 2l - m + 2n = 0 , mn + nl + lm = 0 ,

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