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Question

Mathematics Question on Three Dimensional Geometry

The equation of the plane through (1,1,2)(-1, 1 , 2 ) whose normal makes equal acute angles with co-ordinate axes is

A

r.(i^+j^+k^)=2\vec{r} . (\hat{i} + \hat{j} + \hat{k} ) = 2

B

r.(i^+j^+k^)=6\vec{r} . (\hat{i} + \hat{j} + \hat{k} ) = 6

C

r.(3i^3j^+3k^)=2\vec{r} . ( 3 \hat{i} - 3 \hat{j} + 3\hat{k} ) = 2

D

r.(i^j^+k^)=3\vec{r} . (\hat{i} - \hat{j} + \hat{k} ) = 3

Answer

r.(i^+j^+k^)=2\vec{r} . (\hat{i} + \hat{j} + \hat{k} ) = 2

Explanation

Solution

Answer (a) r.(i^+j^+k^)=2\vec{r} . (\hat{i} + \hat{j} + \hat{k} ) = 2