+1 vote
in Class 12 by kratos

Find the area of triangle whose adjacent sides are 2i - 3j +5k, -i + 4j + 2k

1 Answer

+5 votes
by kratos
 
Best answer

Let vector a = 2i - 3j + 5k, vector b = -i + 4j + 2k

= i(-6-20) - j(4+5) + k(8-3)

= -26i -9j +5k

area = 1/2| vector a * vector b|

= 1/2√[(26)2 + (9)2 + (5)2]

= 1/2√(676 + 81 + 25)

= 1/2√782 sq.unit

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