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Show that the three lines with direction...

Show that the three lines with direction cosines `(12)/(13),(-3)/(13),(-4)/(13),(12)/(13),(3)/(13),(-4)/(13),(12)/(13)` are mutually perpendicular.

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The correct Answer is:
Hence, the three lines `L_1, L_2" and "L_3` are perpendicular.
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Knowledge Check

  • Let R be the relation in the set {(1,2,3,4} given by R ={(1,2), (2,2), (1,1) (4,4),(1,3), (3,3), (3,2)}. Choose the correct answer.

    A
    R is reflexive symmetric but not transitive.
    B
    R is reflexive and transitive but not symmetric.
    C
    R is symmetric and transitive but not reflexive.
    D
    R is an equivalence relation.

  • Let R be the relation in the set {1,2,3,4} given by R = {(1,2),(2,2),(1,1),(4,4),(1,3),(3,3),(3,2)} . Choose the correct answer.

    A
    R is reflexive and symmetric but not transitive .
    B
    R is reflexive and transitive but not symmetric.
    C
    R is symmetric and transitive but not reflexive.
    D
    R is an equivalence relation.

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    If the mappings f and g are given be f = {(1,2),(3,5),(4,1)} and g = {(2,3),(5,1),(1,3)} , write fog .

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