1.

Let pi be the plane passing through the points hat(i), hat(j), hat(i)+hat(j)+hat(k) and L be the line passing through the point hat(i)+2hat(j)+3hat(k) and parallel to the vector hat(i)-hat(j)+hat(k). If P(alpha, beta, gamma) is the point of intersection of the plane pi and line L, then sqrt((alpha^(2)+beta^(2))gamma^(2))=

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0
1
6
`SQRT(14)`

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