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Find the vector and cartesian equations of the plane passing through the line of intersection of the planes ` vec rdot(2 hat i+2 hat j-3 hat k)=7, vec rdot(2 hat i+5 hat j+3 hat k)=9` such that the intercepts made by the plane on x-axis and z-axis are equal.

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Find the vector and cartesian equations of the plane passing through the line of intersection of the planes vec r*(2hat i+2hat j-3hat k)=7,vec r*(2hat i+5hat j+3hat k)=9 such that the intercepts made by the plane on x-axis and z-axis are equal.

Find the equation of the plane passing through the intersection of the planes vec r .(2 hat i+ hat j+3 hat k)=7, vec r.(2 hat i+5 hat j+3 hat k)=9 the point (2,1,3)dot

Find the vector equation of the plane passing through the intersection of the planes -> rdot(2 hat i+2 hat j-3 hat k)=7, -> rdot(2 hat i+5 hat j+3 hat k)=9 and through the point (2, 1, 3).

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Find the vector and cartesian equations of the line passing through the point P\ (1,\ 2,\ 3)\ and parallel to the planes vec rdot( hat i-\ hat j+2 hat k)=5\ and vec rdot(3 hat i+ hat j+ hat k)=6.

Find the equation of the plane passing through the intersection of the planes vec rdot( hat i+ hat j+ hat k)=\ 6,\ vec rdot\ \ (2 hat i+3 hat j+4 hat k)=\ -5 and the point (1,1,1).

Find the vector equation of the plane passing through the intersection of the planes vec r*(2hat i+2hat j-3hat k)=7,vec r*(2hat i+5hat j+3hat k)=9 and through the point (2,1,3)

Find the vector equation of the plane passing through the intersection of the planes vec r*(2hat i+2hat j-3hat k)=7,vec r*(2hat i+5hat j+3hat k)=9 and through the point (2,1,3)