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Chapter 12: Q. 29 (page 976)

In Exercises 27鈥�30, use the result from Example 4 to find the distance from the point P to the given plane.P=(4,0,鈭�3),12y鈭�5z=7

Short Answer

Expert verified

Thedistancefromthegivenpointtothegivenplaneis:D=813.

Step by step solution

01

Step 1. Given information 

Apoint,P=(4,0,鈭�3);aplane,12y鈭�5z=7

02

Step 2. Finding the distance from the given point to the given plane

ThedistancefromthepointP(x0,y0,z0)totheplanewithequationax+by+cz=disgivenby,D=|ax0+by0+cz0鈭�d|a2+b2+c2.Substitutingthegivenvalues,weget,D=|4脳0+12脳0+-5脳-3-7|02+122+-52鈬�D=|0+0+15-7|0+144+25鈬�D=|8|169鈬�D=813

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