Show that the area of the triangle contained between the vectors a and b is one half of the magnitude of a × b .
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Area of triangle:
Let us consider a triangle with vectors a and b.
if h is the height of triangle,
area of triangle = 1/2 Ah
=1/2 ab sin tetha
[since sinteta= h/ b]
1/2 cross product of axb= 1/2 Cross product of bxa
Let us consider a triangle with vectors a and b.
if h is the height of triangle,
area of triangle = 1/2 Ah
=1/2 ab sin tetha
[since sinteta= h/ b]
1/2 cross product of axb= 1/2 Cross product of bxa
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