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KEAM 2022 Math Solved Paper

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Question : 1

Total: 120

If the points (1,0,0),(0,3,0) and (0,0,2) lie on a plane, then the unit normal vector

to the plane is

‌
1
√14
(
∧
𝑖
+3
∧
𝑗
+2
∧
k
)
‌
1
7
(2
∧
𝑖
+3
∧
𝑗
+6
∧
k
)
‌
1
√14
(2
∧
𝑖
+3
∧
𝑗
+
∧
k
)
‌
1
7
(3
∧
𝑖
+2
∧
𝑗
+6
∧
k
‌
1
7
(6
∧
𝑖
+2
∧
𝑗
+3
∧
k
)

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