4. Points P(1, 2, 0), Q(2, 3, -1) and R(-1, 1, 5) lie on a plane. Find the Cartesian equation of the plane. Hence, determine the angle between the straight line=¹=1 y+4 = x-1 2 Z-2 2² and the plane.

Q: Consider the points P3 (а, - 4, - 4) Q=(-5, – 4, – 5) R=(- 1, - 1,- 3) a) Find the value of "a" so…

A: The plane passing through the point x1,y1,z1 and having a normal vector n=a,b,c can be represented…

Q: Find the cosine of the angle between the planes -3x - 4y – 3z = 3 and the plane - 1x - 3y + 3z = -2.

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Q: Find the intercepts of the plane 4x+y+10z=40 . Write your answers as points (a,b,c) where a,b and c…

A: Given equation of the plane is 4x+y+10z=40. We have to find different intercepts.

Q: 5) Find the equation of the plane through the following point that also contains the given line. P =…

A: To find the equation of a plane through a point and parallel to a given line, we can use the…

Q: 91 a) Find an equation of the sphere with center (1,-3,-5) and tangent to xz-plane.

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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: Consider the lines r(t) = (2-3, +4--1) and r(s) (+4,- +3,3+6). A. Show that these two lines…

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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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Q: Determine the relative position of the line and the plane. If the line and the plane intersect, give…

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