Find the distance between the point and the line given by the set of parametric equations. (Round your answer to three decimal places.)(4, -7, 2); x = 2t, y = t - 3, z = 2t + 2Submit Answer

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(part 1 of 4) Suppose you start at the origin in 3-space, move along the x-axis a distance of 2 units in the positive direction, and then move down- ward a distance of 3 units. What are the coordinates of your position? 1. (2,0, -3) 2. (2, -3,0) 3. (2,0,3) 4. (0, 2, -3) 5. (0, -3,2) (part 2 of 4) Which one of the points P(6, 9, -3), Q(8, -2, -8), R(-5, 8, 1) in 3-space is closest to the xz-plane? 1. R(-5, 8, 1) 2. P(6, 9, -3) 3. Q(8, -2, -8) (part 3 of 4) A rectangular box is constructed in 3-space with one corner at the origin and other ver- tices at (1,0,0), (0,3,0), (0,0,2). Find the length of the diagonal of the box. 1. length 14 2. length 3. length 4. length 5. length 6. length = = = = √22 √14 √19 19 22 (part 4 of 4) What are the coordinates of the projection of the point Q(-4, 5, 3) onto the zx-plane? 1. (-4, 0, 3) 2. (-4, -5, 3) (4, 5, 3) 3. 4. (-4, 5, 0) 5. (-4, 5, -3) 6. (0,5, 3)
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Use the table to the right to answer the following question Energy es hem Energy released by buming 1 kg of a certain combustble sedimentary rock Energy released by fesion of 1 kg of a certain ge Energy released by fusion of hydrogen in 1 ter of water How many kilograms of combustible sedimentanry rock would be required to supply the energy needs of country A for 1 year? Country A annual energy consumption Country Bannual erergy consumption Rwould take approximately kilograms. (Use scientific noton. Use the multiplication symbol in the math palete as needed. Round to three decimal places as needed)

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************ ************** Find the distance between the point and the line given by the set of parametric equations. (Round your answer to three decimal places.) (4, -7, 2); x = 2t, y = t - 3, z = 2t + 2

** Find the distance between the point and the line given by the set of parametric equations. (Round your answer to three decimal places.) (4, -7, 2); x = 2t, y = t - 3, z = 2t + 2