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Q.

Let A=(i-j+3k), B=(3 i+ 3 j + 3 k) be two 

points and r.(5i + 2j - 7k) +9 = 0 be a plane, then

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a

A, B lie on the same side of the plane 
 

b

A, B lie on the opposite side of the plane 
 

c

A, B lie on the plane 
 

d

can not be determined 
 

answer is B.

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Detailed Solution

P11=5-2-21+9<0 P22=15+6-21+9>0 P11.P22<0  A,B lie opposite side of the plane

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Let A=(i-j+3k), B=(3 i+ 3 j + 3 k) be two points and r.(5i + 2j - 7k) +9 = 0 be a plane, then