Three Dimensional Geometry
Write the vector equation of the plane, passing through the point (a,b,c) and parallel to the plane ri^+j^+k^˙=2.
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Find the direction cosines of the normal to the plane 2x+3y−z=4.
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A line passes through the point A(5,−2,4) and it is parallel to the vector (2i^−j^+3k^ ). The vector equation of the line is
A line passes through the points A(2,−1,4) and B(1,2,−2). The equations of the line AB are