Calculate the area of the triangle for which two of its sides are given by the vectors vecA=5hati-3hatj, vecB=4hati+6hatj.

Calculate the area of the triangle for which two of its sides are give

1.	Calculate the area of the triangle for which two of its sides are given by the vectors vecA=5hati-3hatj, vecB=4hati+6hatj.
Answer» Solution :AREA of the TRIANGLE `=(1)/(2)\|barAxxbarB\|` `barAxxbarB=\|{:(HATI,hatj,hatk),(5,-3,0),(4,6,0):}\|=hati(0)+hatj(0)+hatk(30+12)=42hatk` `\|barAxxbarB\|=sqrt(42^(2))=42` `:.` Area of the triangle `=(1)/(2)\|barAxxbarB\|=(1)/(2)xx42` Area =21 squared units