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Find the point at which the given lines intersect. r = 2, 2, 0 t 2, −2, 2 r = 4, 0, 2 s −2, 2, 0

User Luming
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Final answer:

To find the point of intersection of two lines, set the components of the lines equal to each other and solve for t.

Step-by-step explanation:

To find the point at which two lines intersect, we need to find the values of r and s that satisfy both equations. The given lines are defined as:

r = (2, 2, 0) + t(2, -2, 2)

s = (4, 0, 2) + t(-2, 2, 0)

We can set the x, y, and z components of both lines equal to each other and solve for t to find the point of intersection. By solving the system of equations, we find that the lines intersect at the point (6, -2, 2).

User Heinrich Filter
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