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If the points A(1, 0, -6), B(3, p, q) a...

If the points `A(1, 0, -6), B(3, p, q) and C(5, 9, 6)` are collinear,find the value of `p and q`.

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Given points: `A(1,0,-6)` `B(3,p,q)` `C(5,9,6)` `vecA = overset(^^)(i) - 6overset(^^)(k) ` `vecB = 3overset(^^)(i) +poverset(^^)(j) + qoverset(^^)(k)` `vecC = 5overset(^^)(i) + 9overset(^^)(j) + 6overset(^^)(k)` `vec(AB) = vecB - vecA = 2overset(^^)(i) + poverset(^^)(j) + 15overset(^^)(k)` ...
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