Exercise. Find the equation representing the line orthogonal to dı = (2, –1,7) and d2 = (7,1, 3) that passes through P = (0,1, 2).Express your answer as a vector and as parametric equations.Vector: l(t) =+t(-10,Parametric: x(t) =?, y(t) =?, z(t) =Exercise. Suppose that we want to give a vector-valued function that traces out the curve described by r = 4y² + 7y – 1.By requiring that y(t) = 4t, find the position vector that traces out this curve.P (t) =Exercise. Find the line that passes through P = (2,-4, 1) parallel to d = (9, 2, 5) using only the given quantities. Express your answer asa vector and as parametric equations.Vector: l(t) =+tParametric: z(t) =?, y(t) =?, z(t) =Exercise. Suppose that a bug walks along the parabola y = x? + 3 and does so in a manner in which 4 = 3. If the bug starts walking atx = 1 at timet = 0, and we want x(t) to measure the bug's x-coordinate at time t, then we havedtx(t) =

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Exercise. Find the equation representing the line orthogonal to dı = (2,–1,7) and d2 = (7,1,3) that passes through P= (0,1,2). Express your answer as a vector and as parametric equations. Vector: e(t) = ? +t(-10, Parametric: z(t) = ?, y(t) = ?, z(t) = Exercise. Suppose that we want to give a vector-valued function that traces out the curve described by z= 4y? + 7y - 1. By requiring that y(t) = 4t, find the position vector that traces out this curve. P (t) =

Exercise. Find the equation representing the line orthogonal to dı = (2,–1,7) and d2 = (7,1,3) that passes through P= (0,1,2). Express your answer as a vector and as parametric equations. Vector: e(t) = ? +t(-10, Parametric: z(t) = ?, y(t) = ?, z(t) = Exercise. Suppose that we want to give a vector-valued function that traces out the curve described by z= 4y? + 7y - 1. By requiring that y(t) = 4t, find the position vector that traces out this curve. P (t) =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 32E

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