Let ` vec ( a) = hat (i) + 4 hat (j) + 2 hat (k), vec (b) = 3 hat(i) - 2 hat (j) - 7 hat (k)

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Let ` vec ( a) = hat (i) + 4 hat (j) + 2 hat (k), vec (b) = 3 hat(i) - 2 hat (j) - 7 hat (k) and vec (c ) = 2 hat (i) - hat (j) + 4 hat (k)` . Find a vector `vec (d) ` which is perpendicular to both `vec (a) and vec (b) and vec ( c) . vec(d) = 18 `
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