What is the area of triangle determined by 2 vectors A=3i+4j and B=-3i+7j?

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Answer 1 · 2017-07-12T08:03:07

The area is #=33/2u^2#

The area of the triangle is calculated with the cross product ot the 2 vectors.

Let the #hatk# component be #=0#

Area is

#A=1/2*|((hati,hatj,hatk),(3,4,0),(-3,7,0))|#

#=1/2(hati(4*0-7*0)-hatj(3*0+3*0)+hatk(3*7+3*4))#

#=1/2*<0,0,33>#

The area is #=33/2#