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If vec(a) = hat(i) + hat(j) and vec(b) =...

If `vec(a) = hat(i) + hat(j)` and `vec(b) = 2hat(i) - hat(k)` are two vectors, then what will be the intersection point of two lines `vec(r) xx vec(a) = vec(b) xx vec(a)` and `vec(r) xx vec(b) = vec(a) xx vec(b)` ?

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The correct Answer is:
`vec(r) = 3hat(i) + hat(j) - hat(k)`
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