. Let P(1. -1, 2) and Q(-1,2,-2) be two points on R coordinate plane and consider...

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. Let P(1. -1, 2) and Q(-1,2,-2) be two points on R³ coordinate plane and consider three vectors T = < 1, √√2, 1>, 6 = -7 +27 -5k and = -√23 +€. a) Find the projection of onto 6. b) Find an angle between a onto . Give your answer in RADIAN. We can evaluate the value of the inverse trigonometric expression that may appear in the process, so do NOT leave your answer in inverse trignometric expression. c) Find the parametric equation and symmetric equations of the line through P and Q. At which point does this line intersect ry-plane? d) Find a vector of length 4 that is in the same direction as 6. . Let P(1. -1, 2) and Q(-1,2,-2) be two points on R³ coordinate plane and consider three vectors T = < 1, √√2, 1>, 6 = -7 +27 -5k and = -√23 +€. a) Find the projection of onto 6. b) Find an angle between a onto . Give your answer in RADIAN. We can evaluate the value of the inverse trigonometric expression that may appear in the process, so do NOT leave your answer in inverse trignometric expression. c) Find the parametric equation and symmetric equations of the line through P and Q. At which point does this line intersect ry-plane? d) Find a vector of length 4 that is in the same direction as 6.