Direction Ratios

Question

Direction ratios of the line joining points (1, 2, 3) and (4, 5, 6) are

RankGuru · Accepted Answer

1. **Formula**: Direction ratios ($a, b, c$) of a line joining two points $P(x_1, y_1, z_1)$ and $Q(x_2, y_2, z_2)$ are proportional to the differences: $(x_2-x_1), (y_2-y_1), (z_2-z_1)$.
2. **Substitution**: Given points $(1, 2, 3)$ and $(4, 5, 6)$:
   - $a = 4 - 1 = 3$
   - $b = 5 - 2 = 3$
   - $c = 6 - 3 = 3$
3. **Result**: The direction ratios are $(3, 3, 3)$. Any set proportional to $(1, 1, 1)$ would also be valid direction ratios for this line.

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