If a → = 2 i ^ + 2 j ^ + k ^ , b → = 6 and the angle between a → and b → is π 6 , then the area of the triangle (in square units) with a ¯ and b ¯ as two of its sides is

Question

If a → = 2 i ^ + 2 j ^ + k ^ , b → = 6 and the angle between a → and b → is π 6 , then the area of the triangle (in square units) with a ¯ and b ¯ as two of its sides is, 3 3 2 sq. units, 3 2 sq. units, 5 4 sq. units, 9 2 sq. units

MARKS App · Accepted Answer

Area of triangle = 1 2 a → × b → = 1 2 a → 2 b → 2 - a → · b → 2 = 1 2 4 + 4 + 1 36 - a → b → cos π 6 2 = 1 2 3 6 sin π 6 = 9 2 sq. units

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