Find the direction vector of the line which is the intersection of the planes x + y + z = 1 and x+y=z= 2. Hint: The direction vector of the line is orthogonal to both of the planes' normal vectors. O (2,2,-2) O (0, -2, 2) O (-2,2,0) (2,2,0)

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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Find the direction vector of the
line which is the intersection of
the planes x + y + z = 1 and
x+y=z= 2.
Hint: The direction vector of the
line is orthogonal to both of the
planes' normal vectors.
O (2,2,-2)
O (0, -2, 2)
O (-2,2,0)
(2,2,0)
(2,2,2)
(0, -2,-2)
O
O (-2,-2, 0)
O (0, 2, 2)
Transcribed Image Text:Find the direction vector of the line which is the intersection of the planes x + y + z = 1 and x+y=z= 2. Hint: The direction vector of the line is orthogonal to both of the planes' normal vectors. O (2,2,-2) O (0, -2, 2) O (-2,2,0) (2,2,0) (2,2,2) (0, -2,-2) O O (-2,-2, 0) O (0, 2, 2)
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