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In a tetrahedron OABC, if OA=hat(i), OB=...

In a tetrahedron OABC, if `OA=hat(i), OB=hat(i)+hat(j) and OC=hat(i)+2hat(j)+hat(k)`,if shortest distance between egdes OA and BC is m, then `sqrt(2)m` is equal to …(where O is the origin).

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Knowledge Check

  • The projection of vec(a)=2hat(i)-hat(j)+hat(k) on vec(b)=hat(i)-2hat(j)+hat(k) is equal to :

    A
    `(5sqrt(6))/(3)`
    B
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    C
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    D
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  • The value of hat(i). (hat(j) xx hat(k)) + hat(j). (hat(i) xx hat(k)) + hat(k). (hat(i) xx hat(j)) is

    A
    1
    B
    -1
    C
    3
    D
    0

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