If the distance of the point from the plane measured parallel to the line, is , then the value of is equal to .

Question

If the distance of the point  from the plane  measured parallel to the line,  is , then the value of  is equal to .

Canvas Classes · Accepted Answer

🧠 Probe-Line Distance with Unknown Direction Component

Read the question. Distance from  to plane  along direction  (after rewriting). Equal ; find .

The line's -piece is , so direction -component is . Direction .

First step: build probe line; find  where it hits plane.

🗺️ Working It Out

Probe: .

Plane condition:

.

Distance .

.

⚡ The Smart Move

The probe parameter  falls out as a simple fraction. The distance² formula then becomes , a clean linear equation in .

⚠️ Where Students G

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