Problem 8
Question
Find the intercepts and sketch the graph of the plane. $$ x=5 $$
Step-by-Step Solution
Verified Answer
The given equation represents a plane that intersects the x-axis at (5,0,0). It's parallel to the yz-plane. The sketch would depict a flat surface parallel to the yz-plane, passing through the 5th point on the x-axis.
1Step 1: Identifying the plane
The given equation represents a plane parallel to the yz-plane. The plane equation is x = 5, indicating the plane crosses the x-axis at point (5, 0, 0).
2Step 2: Sketching the plane
Sketch the 3D coordinate axes. Draw the plane at the fifth mark on the positive side of the x-axis, such that the plane is parallel to the yz-plane.
3Step 3: Indicating the intercept
The plane intersects the x-axis at (5, 0, 0). Mark this point on the sketch.
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