Question

Consider the planes -4x1 - x2 - 3x3 = -5 -3x1 + x2 + x3 =...

Consider the planes

-4x1 - x2 - 3x3 = -5

-3x1 + x2 + x3 = -9

a) Find a point P that is on both planes.

b) Find a vector v that is parallel to both planes.

c) Find a vector equation for the intersection of the two planes.

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Homework Answers

Answer #1

(a)

To find a point on both planes, assume one coordinate with any value,

(b)

To find the vector parallel to both planes, following steps are followed -

(c)

Vector equation of intersection

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