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Find the vector equation of the plane passing through the point A(-2, 7, 5) and parallel to vectors i - j + 3k and i + j + k.

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Find the vector equation of the plane passing through the point A(-2, 7, 5) and parallel to vectors i - j + 3k and i + j + k.

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The vector equation of the plane passing through the point A(\(\bar{a}\)) and parallel to the vectors \(\bar{b}\) and \(\bar{c}\) is

∴ from (1), the vector equation of the required plane is \(\bar{r}.(-4\hat{i} - \hat{j} + 5\hat{k}) = 26.\)

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