A plane is perpendicular to [x, y, z] = [3, -30, 24] + s[2, 4, -2] and contains the point P(-1, 4,-2). Determine if the point A(1, -2, 7) is also on this plane.

Q: The vertices of a rectangle are R(-5,-5), S(-1, -5), T(-1, 1) and U(-5, 1). After translation, R' is…

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Q: The plane through the points (-4,-8,-1), (8,3,5), (7,8,6) has equation Ax + By + Cz= D. If A = - 19…

A: Since plane passes through the given points therefore

Q: :Find the equation of the plane through (-1 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

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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: The plane through the points (-1,-2,-2), (-5,-3,2), (-5,2,7) has equation Ax + By + Cz = D. If A = -…

A: A = -25 B = 20 C = -20 D= 25  For detail....go through the solution.... You can solve this problem…

Q: Show that the line [3, 2, 3] passes through the point of intersection of the lines [2, 1, 1] and…

A: It has to be proved that the line 3,2,3 passes through the point of intersection of the lines 2,1,1…

Q: Prove that three points P(5,-4), Q(-3,8) and R(1,2) on the rectangular coordinate plane are…

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Q: 12) 13) i=1 201 8 ②골-

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Q: :Find the equation of the plane through (-1, 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

A: Given,           The equation of the pane through -1,6,1 and perpendicular to the join            of…

Q: Which one of the points P(6, 9, -3), Q(8, -2, -8), R(-5, 8, 1) in 3-space is closest to the…

A: We have to find closest point to the xz plane from given points P, Q and R. Topic:- 3D vector.

Q: #Find the distance the point (4,-3,-2) and between the line given by: Y+2=7-4 X-3 = 2+²/² -5 Find…

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