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Let vec(a) = - hat(i) - hat(k) , vec(b)...

Let ` vec(a) = - hat(i) - hat(k) , vec(b) = - hat(i) +hat(j) and vec(c) = hat(i) + 2hat(j) + 3 hat(k)` be three given vectors . If `vec(r )` is a vector such that `vec(r ) xx vec(b) = vec (c ) xx vec(b) and vec (r ) . vec (a ) = 0 ` then the value of `vec(r ). vec(b) ` is -

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