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    Multivariate calculus

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    Determine a vector equation...for the line that passes through the point P(1, 2, 3) and is perpendicular to the plane 4x+5y+6z=7.

    Consider the planes...If these planes are parallel, determine their distance. Otherwise determine their angle of intersection.

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    https://brainmass.com/math/calculus-and-analysis/multivariate-calculus-203657

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    This provides an example of determining a vector equation for a given line, and working with planes to determine distance or angle of intersection.

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