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Q.

The area of the triangle whose vertices are A (1, -1, 2), B (2, 1, -1) and C (3, -1, 2) is (in area units)

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a

26

b

713

c

13

d

8

answer is C.

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Detailed Solution

AB→=i^+2j^-3k^ BC→=i^-2j^+3k^ AB→ x BC→=i^j^k^12-31-23=-6j^-4k^ ⇒AB→ x BC→=-62+-42=52 unit ⇒Area of ∆=12AB→ x BC→=13 unit
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