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Show that vectors a,b nd c …

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Show that vectors a,b nd c are coplanar ... if a+b , b+c and c+a are coplanar?????

    • Posted by Ridhi Mehta 6 years, 9 months ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Ayush Bafna 6 years, 9 months ago

    if a+b,b+c,c+a are coplanar . (a+b , b+ c , c+a) = 0 a+b × (b+c , c +a)=0 a× (b+ c ) +a×(c+a) +b×(b+a) + b ×(c+a) = 0 (a b c) + 0 + 0 + ( a b c ) = 0 2 ( a b c ) =0 ( a b c ) =0 Hence a , b , c are coplanar. Thank you

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