Find a vector v parallel to the intersection of the planes - (x + y + 3z) = 4 and 3y - 3x - z = 7. 12 =

Q: ) Find the vector that parallel to the intersection line of two planes 2x +y-3z 2 and -x+2y-z 1.

A: Given problem:- Find the vector that parallel to the intersection line of two planes 2x + y - 3z = 2…

Q: Find the equation of the plane through the line of intersection of the planes x+y+z=1and 2x+3y+4z=…

A: The equation of the plane through the intersection of the planes, x+y+z=1 and 2x+3y=4z=5, is…

Q: Q5) the value of the constant a for which the line x=2+t,y=2+3t,z=3+t and the plane ax+y-2z-7=0 are…

A: We will use definition.

Q: Determine the shortest distance from the point (3, 4, 5) to the line through the origin parallel to…

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Q: 2. Find the equation of the planes: a) (in general form) that goes through the three points A(4, 0,…

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Q: Find the intersection of the line that passes through (0,3,-1), in the direction of…

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Q: Determine the coordinate of the point on the plane II: 3x + 3y + 2z = 2 closest to the point (3, 1,…

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Q: V(1, 1, 4) 1, 1, 4)| is increasing most rapidly at the point (1, 1, 4) Calculate the direction in…

A: We have to solve the problem

Q: Find the vector that parallel to the intersection line of two planes 2x +y-3z 2 and -x+2y-z 1.

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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: Find the vector equation for the line of intersection of the planes 5x + 3y2z = -1 and 5x + 5z = -4…

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