The moment of the force, F → = 4 i ^ + 5 j ^ − 6 k ^ at ( 2 , 0 , − 3 ) , about the point ( 2 , − 2 , − 2 ) , is given by

Question

The moment of the force, F → = 4 i ^ + 5 j ^ − 6 k ^ at ( 2 , 0 , − 3 ) , about the point ( 2 , − 2 , − 2 ) , is given by, $-7 \hat{\mathrm{i}}-8 \hat{\mathrm{j}}-4 \widehat{\mathrm{k}}$, $-4 \hat{\mathrm{i}}-\hat{\mathrm{j}}-8 \widehat{\mathrm{k}}$, $-8 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}-7 \hat{\mathrm{k}}$, $-7 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}-8 \widehat{\mathrm{k}}$

MARKS App · Accepted Answer

F → = 4 i ^ + 5 j ^ - 6 k ^ r → = 2 - 2 i ^ + 0 - - 2 j ^ + - 3 - - 2 k ^ = 2 j ^ - 1 k ^ r → × F → = 2 j ^ - 1 k ^ × 4 k ^ + 5 j ^ - 6 k ^ = i ^ j ^ k ^ 0 2 - 1 4 5 - 6 = - 7 i ^ - 4 j ^ - 8 k ^

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