Line L has the equation (2,-2,0) + t (2,2,2) Sphere S is centered at origin (O) with equation x2+y2+z2=10. 1) Find the 2 points where L intersects S. 2) Find the angle between vectors OP and OQ. 3) Calculate the equation of the plane which contains O, P, and Q. Calculate the area of triangle with vertices O,P and Q
Line L has the equation (2,-2,0) + t (2,2,2) Sphere S is centered at origin (O) with equation x2+y2+z2=10. 1) Find the 2 points where L intersects S. 2) Find the angle between vectors OP and OQ. 3) Calculate the equation of the plane which contains O, P, and Q. Calculate the area of triangle with vertices O,P and Q
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 1E
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Line L has the equation
(2,-2,0) + t (2,2,2)
Sphere S is centered at origin (O) with equation x2+y2+z2=10.
1) Find the 2 points where L intersects S.
2) Find the angle between
3) Calculate the equation of the plane which contains O, P, and Q. Calculate the area of triangle with vertices O,P and Q
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