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Find the angle between the lines whose ...

Find the angle between the lines whose direction ratios are a, b, c and `b - c , c - a , a - b`.

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To find the angle between the lines with direction ratios \( a, b, c \) and \( b - c, c - a, a - b \), we can use the concept of the dot product of vectors. The angle \( \theta \) between two vectors can be determined using the formula: \[ \cos \theta = \frac{\vec{A} \cdot \vec{B}}{|\vec{A}| |\vec{B}|} \] ### Step-by-Step Solution: ...
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Knowledge Check

  • The tngent of angle between the lines whose intercepts on the axes are a, -b and b -a respectively is

    A
    `(a^(2)-b^(2))/(ab)`
    B
    `(b^(2)-a^(2))/(2)`
    C
    `(b^(2)-a^(2))/(2ab)`
    D
    none of these

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