Determine the way in which the line x, y, z = [2, -3, 0] + k[-1, 3, -1] intersects the plane [x, y, z] = [4, −15, −8] + s[1, −3, 1] + t[2, 3, 1], if at all.

Q: 1. Find an equation of the plane that passes through the points (-1, 3, -3), (4, 1, 2), and (8, 2,…

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Q: 2 2. Find an equation of the plane containing the point P(0, -) and the line determined by the two…

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Q: Show that the line [x, y, z]= [5,-1,3]+[4,-5,2] lies on the planes 3x+2y-z = 10 and 7x+4y-4z=19.

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Q: P(-2,0, 3) perpendicular to the line x = 1 – t, y = 2 + 2t, z = 3+ 4t is 6. اخترأحد الخيارات x + 2y…

A: Let me discuss this problem in step 2:

Q: Determine the value of K such that the points A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,K,-2) lie on…

A: Given A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,k,-2) AB→=(0-4,(1+2),(0-6))=(-4,3,-6)…

Q: Find an equation for the plane through P(1,4,4) that contains the line of intersection of the planes…

A: Let the equation of the plane that contains the line of intersection of the planes 3x-y+3z=-1 and…

Q: The third question: Let (1-, 1-, 1-) Q be a point in space and let us have the line L whose equation…

A: Let the equation of the plane passing through the point Q-1,-1,-1 be ax+1+by+1+cz+1=0…

Q: 4. Find an equation of the plane containing the line (x-3) = -(y + 5) = -(z + 2) and the point (5,…

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Q: Give an equation of the plane determined by the intersecting lines L1 and L2 = 2t 15 –t and L2 : {…

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