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Let vec (a) = 2 hat (i) + hat (k) , vec...

Let ` vec (a) = 2 hat (i) + hat (k) , vec (b) = hat (i) + hat (j) + hat (k) and vec (c ) = 4 hat (i) - 3 hat (j) + 7 hat (k) ` be three given vectors . Find a vector `vec (c )` which satisfies the relations ` vec (r ) xx vec ( b ) = vec (c ) xx vec ( b) and vec ( r ) . vec ( a) = 0 `

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