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The direction ratios of the given lines are 7, −5, 1 and 1, 2, 3 respectively.
Two lines with direction ratios,
a1, b1, c1 and a2, b2, c2, are perpendicular
to each other, if a1a2 + b1 b2 + c1c2 = 0 7 × 1 + (−5) × 2 + 1 × 3
= 7 − 10 + 3
= 0
Therefore, the given lines are perpendicular to each other.
REFER ATTACHMENT FOR CLEAR EXPLANATION
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