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Given two vectors a= 2i + j + 3k and b= 3i +5j - 2k. Find modulus of a(vector) x b(vector) and interpret the result geometrically.

a→= 2i + j + 3kb→= 3i +5j - 2ka→xb→ = ijk21335-2 =(-2-15)i -(-4-9)j + (10-3)k =-17i+13j+7ka→xb→ = (-17)2+ 132 +72 = 507This represent the area of parallelogram with sides a→and b→.

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a(vector)×b(vector)=

| i j k|

| 2 1 3| //it determines the determinant

| 3 5 -2|

= -10i+13j+3k

a×b is a vector which is perpendicular to the plane which contain both the vectos a and b.

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Ops sorry thats bit incorrent modulus is asked so..

Modulus(-17i+13j+7k) i.e. equal to (507)^(1/2)

It geometrically represents the area of the triangle made by the vectors a and b.

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thnx vatsal !!!

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Hey it resemble area of parallelogram.. Not triangle ok.. And welcome kankana..

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