turkey-yks 2018 Q40

turkey-yks · Other · yks-ayt Vectors 3D & Lines Distance from a Point to a Line (Show/Compute)
In space, a plane E is given with points A and B on it, and a point P at a distance of 4 units from this plane.
The perpendicular projections of line segments PA and PB onto plane E, together with line segment AB, form an equilateral triangle with side length 2 units.
Accordingly, what is the product $| \mathbf { P A } | \cdot | \mathbf { P B } |$?
A) 8 B) 12 C) 16 D) 18 E) 20 
In space, a plane E is given with points A and B on it, and a point P at a distance of 4 units from this plane.

The perpendicular projections of line segments PA and PB onto plane E, together with line segment AB, form an equilateral triangle with side length 2 units.

Accordingly, what is the product $| \mathbf { P A } | \cdot | \mathbf { P B } |$?

A) 8
B) 12
C) 16
D) 18
E) 20
Paper Questions
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