Griven that A×B+B×C+C×A=0, PROOF THAT A,B,C ARE COPLANAR.
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The three vectors are coplanar if their scalar triple product is zero. (since cross product of same vector is zero. and θ=0 for same vectors. Hence, [a+b,b+c,c+a]=0 if and only
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Explanation:
The three vectors are coplanar if their scalar triple product is zero. (since cross product of same vector is zero. and θ=0 for same vectors. Hence, [a+b,b+c,c+a]=0 if and only if [a,b,c]=0.
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