First slide

Straight lines in 3D

Question

The algebraic sum of the intercepts made by the plane $x - 2 y + 3 z = 24$ on the coordinate axes is

Moderate

Solution

Equation of the plane is $\frac{x}{24} + \frac{y}{- 12} + \frac{z}{8} = 1$
Sum of the intercepts $= 24 - 12 + 8 = 20$

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