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The three axes OX, OY and OZ determine ...

The three axes OX, OY and OZ determine ………….

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The three axes, OX, OY and OZ determine three coordinatess planes.
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Show that the direction cosines of a vector equally inclined to the axes OX, OY and OZ are (1)/(sqrt(3)),(1)/(sqrt(3)),(1)/(sqrt(3))

Show that the direction cosines of a vector equally inclined to the axes OX,OY and OZ are (1)/(sqrt(3)),(1)/(sqrt(3)),(1)/(sqrt(3))

Knowledge Check

  • A vector r is inclined at equal angles to OX,OY and OZ If the magnitude of is 9 units then is equal to

    A
    `sqrt(hati+hatj+hatk)`
    B
    `-sqrt3(hati+hatj+hatk)`
    C
    `3sqrt3(hati+hatj+hatk)`
    D
    None of these

  • If alpha,beta,gamma are the angles which a line makes with OX,OY and OZ , then sin^(2)alpha + sin ^(2) beta+ sin^(2) gamma

    A
    1
    B
    2
    C
    3
    D
    4

    • Similar Questions

    Explore conceptually related problems

    Show that the vector i+j+k is equally inclined with the axes OX, OY and OZ .

    Show that the vector hat i+ hat j+ hat k is equally inclined to the axes OX, OY and OZ.

    In the given figure, OX, OY and OZ are perpendicular bisectors of the three sides of the triangle. If angleQPR= 65^(@) and anglePQR=60^(@) , then what is the value of (in degrees) of angleQOR + anglePOR ?

    In the given figure, OX, OY and OZ are perpendicular bisector of the three sides of the triangle. If angleQPR=65^(@) and anglePQR=60^(@) , then what is the value (in degrees) of angleQOR+anglePOR ?

    A plane makes interceptsOA, OB and OC whose measurements are a, b and c on the OX, OY and OZ axes. The area of triangle ABC is

    A vector vec r is inclined at equal to OX, OY and OZ. If the magnitude of vec r is 6 units,find vec r.

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