First slide

Planes in 3D

Question

The points (0, 0, 0) and (3, 2, 5) lie on the same side of the plane 2x + ay + 3z + 1 = 0 if

Moderate

A

$a > \frac{- 26}{5}$
B

a < 11
C

$a < \frac{- 26}{5}$
D

a > -11

Solution

0 (0,0,0),A (3,2,5)
$π = 2 x + a y + 3 z + 1 = 0$

$π_{11} π_{22} > 0$

(6 + 2a + 15 + 1) > 0

2a > - 22

a > - 11

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