Intersection of a Plane with Coordinate Axes
Find the points where the plane z=5x-4y+3 intersects each of the coordinate axes. Find the lengths of the sides and the angles of the triangle formed by these points.
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Find the points where the plane z = 5x - 4y + 3 intersects ...
Solution Summary
The dimensions of a triangle formed by intersection of a plane with the x- and y- axes are found. The solution is detailed and well presented.
Find the vector equation for line of intersection of two planes.
Consider the planes 1x + 4y +3z = 1 and 1x + 3z = 0
(A) Find the unique point P on the y-axis which is on both planes. (0,1/4 ,0 )
(B) Find a unit vector with positive first coordinate that is parallel to both planes.
.94869 i + 0 j + -.3162 k
(C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes,
? + 1/4 + ?