Question: 4. Consider two points A(3,-1,5) and B (2,1,-1). (a) Sketch the both points. (b) Find distance between A and B. (c) Write an equation

4. Consider two points A(3,-1,5) and B (2,1,-1). (a) Sketch the both

4. Consider two points A(3,-1,5) and B (2,1,-1). (a) Sketch the both points. (b) Find distance between A and B. (c) Write an equation of the line through A and B. (d) Write the vectorAB in component form and in the form of standard unit vector. (e) Find the standard equation of the sphere with diammeter AB. (f) Write an equation of the plane passing through A and parallel to yz-plane. (g) Write an equation of the plane containing the points A, B and the origin.

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