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Find the Vector Equation for the 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 + ?

I need help find part c.

Solution Summary

The vector equation for line of intersection of two planes is found in an attached Word document.

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