The equation of a plane is (X,Y,Z)= (1,0,0) + s(-1,0,-1) + t(-1,2,0),s,t ER. Determine the vector equation YZ such that Y is the y-intercept of the plane and Z is the z-intercept of the plane.

Q: Determine a vector equation for the line that is perpendicular to 7 = (4, 1) + s(−3, 2), sER, and…

A: We need to find the equation of line perpendicular to r→=(4, 1)+s(-3, 2),  s∈ℝ and passing through…

Q: Write the vector equation for the line of intersection between the planes π1:x−z=−5 and π2:x−y=−1.

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Q: Find the linear equation of the plane through the point (2,3,6) and parallel to the plane…

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Q: Find the vector equation for the line of intersection of the planes 4x - y + 3z = 1 and 4x + 2z = −1…

A: Given:equation of two planes To find:vector equation of line that intersects these planes

Q: 3. Of the following two matrices, exactly one has a two dimensional eigenspace. Determine which one…

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Q: Find the vector equation of the line of intersection of the planes x+y+z = 1 and x+2y + 2z = 1.

A: The equation of the line vector of the intersection of 2 planes can be calculated using the cross…