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Find the angle between the lines whose direction ratios are aband b − c,

c − aa − b.

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The angle Q between the lines with direction cosines, a, b, c and b − c, c − a, a − b, is given by, Thus, the angle between the lines is 90°.
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The angle Q between the lines with direction cosines, a, b, c and bc, ca,

ab, is given by,

Thus, the angle between the lines is 90°.

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