Coordinate geometry › Straight lines › Angle of inclination

Coefficient from line-plane angle

High school · ●●●○○ 50 pts

The angle between the plane 3x+by−5z=23x + by - 5z = 2 and the straight line x+2=3−y2=z−12x + 2 = \frac{3 - y}{2} = \frac{z - 1}{2} is 45∘45^\circ. Find the constant bb, given that 0<b<100 < b < 10.

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