Question 7. The plane is perpendicular to the vector ỹ = i+j+k and contains the point Р- (3, —4, -3). Find the Cartesian equation of this plane. [a] x-y-z– 4=0 [b] 2x+2y+z+4=0 [e] not in the list [c] x+y+z+4=0 [d] 3x – 4y – 3z+4=0

Q: Find an equation of a plane containing the line r (-3, -3, -5)+t(4, 4, -2) which is parallel to the…

A: A plane containing the line r=-3, -3, -5+t4, 4, -2 which is parallel to the plane -2x+y-2z=8. We…

Q: 6. [8.5] Consider the points A(1, 3, 1), B (2, 1, 0), and C(5, 1, 1). Determine the Cartesian…

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Q: Find an equation for the plane containing the three points (0, 1, -1), (1,0,1), and (2, 1, 0). Where…

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Q: What is the equation of the plane through the three points (1, 2, -2), (3, 2, 1), (5, 1, -4)? A B…

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Q: Use the cross product to find an equation for the plane that passes thru the points (1, 2, 3), (4,…

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Q: 3. A plane contains A(1, -3, 2), B(-2, 4, 2) and C(3, 2, 1). (a) Determine the vector equation of…

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Q: Find a general equation of the plane through the point (2,9, 6) and parallel to the plane x + 5y +…

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Q: Let Az+By+ Cz=698 be the equation of the plane passing through Po(2,-22,-22) and P, (1,2,3) and…

A: We have to find the value of B in the equation of plane.If the two planes are perpendicular, then…

Q: Determine the point at which the line passing through the points P(1, 0, 6) and Q(7, -1, 7)…

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Q: Find the equation of the plane through the points P (1,-1, 1) Q = (3,–1,3); R= (2,1,1).

A: We will find out the required equation of plane.

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