Determine the vector equation of the plane passing through the intersection of the planes r^{\rightarrow} \cdot (ı^{^} + ȷ^{^} + k^{^}) = 6 and r^{\rightarrow}.(2ı^{^} + 3ȷ^{^} + 4k^{^}) = −5, and the point (1, 1, 1)?

Correct Answer is : r⟶⋅(20ı+23ȷ+26k)=69

r^{\rightarrow} \cdot (10ı^{^} + 13ȷ^{^} + 23k^{^}) = 69

r^{\rightarrow} \cdot (20ı^{^} + 23ȷ^{^} + 26k^{^}) = 69

r^{\rightarrow} \cdot (30ı^{^} + 23ȷ^{^} + 13k^{^}) = 69

r^{\rightarrow} \cdot (10ı^{^} + 23ȷ^{^} + 13k^{^}) = 69

AAI ATC Junior Executive 25 Mar 2021 Shift 2 Paper

Question : 67 of 120

Marks: +1, -0

Determine the vector equation of the plane passing through the intersection of the planes

r↖{⟶} ⋅ (ı↖{^} + ȷ↖{^} + k↖{^}) = 6

and

r↖{⟶}.(2ı↖{^} + 3ȷ↖{^} + 4k↖{^}) = −5

, and the point (1, 1, 1)?

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