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0 votes
61.7k views
in Mathematics by (52.5k points)

The mirror image of the point (1,2,3) in a plane is (- 7/3, - 4/3, - 1/3). Which of the following points lies on this plane?

(1) (–1, –1, –1) 

(2) (–1, –1, 1)

(3) (1, 1, 1) 

(4) (1, –1, 1)

2 Answers

+1 vote
by (58.3k points)
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Best answer

Answer is (4) (1, –1, 1)

for required plane

+1 vote
by (54.8k points)

Answer is (4) (1, –1, 1)

Point on plane R(-2/3, 1/3, 4/3)

Normal vector of plane is (10/3)i + (10/3)j + (10/3)k

Equation of require plane is x + y + z = 1

Hence (1, –1, 1) lies on plane

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