MAC 2313 Even HW Solutions

MAC 2313 Even HW Solutions - MAC 2313 Even Solutions Please...

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Unformatted text preview: MAC 2313 Even Solutions Please email me if there are any errors or omissions. Section 12.1 4) projection onto xy-plane is (2 , 3 , 0), onto yz-plane is (2 , , 5), distance= √ 38 10) a) 5 b) 3 c) 7 d) √ 74 e) √ 34 f) √ 58 20) ( x- 3) 2 + ( y- 2) 2 + ( z- 7) 2 = 11 26) The right half-space consisting of all points to the right of the xz-plane 28) z = ± 1 represent two horizontal planes parallel to xy-plane, z = 1 one unit above and z =- 1 one unit below the xy-plane. Section 12.2 2) The position vector h 4 , 7 i has initial point (0 , 0) and terminal point (4 , 7). 10) h- 2 , 5 i 16) h- 1 , 4 , 2 i 20) a + b = 2i- 2j + 3j 2a + 3b = 4i- 2j + 5j | a | = 6 | a- b | = √ 65 24) D- 6 √ 6 , 12 √ 6 , 6 √ 6 E 28) | F | = 28 . 7 lbs θ ≈ 12 . 4 degrees 30) | v | ≈ 267 km/h θ ≈ 20 degrees 32) T 1 =- 23i + 30j T 2 = 23i + 19j , | T 1 | = 38N , | T 2 | = 30N Section 12.3 6) 14 st 26) b = 0 ,b = ± 2 38) comp a b =- 37 7 and proj a b = 74 49 ,- 111 49 , 222 49 48) 38 , 833 ft-lb Section 12.4 6)- 2 i + 3e- t j- e t k 12)- 2 k 28) √ 265 ≈ 16 . 28 34) 4 cubic units Section 12.5 2) x = 6 + t, y =- 5 + 3 t, z = 2- 2 3 t 8) x = 6- 4 t, y = 1 + 3 t, z =- 3 + 8 t 22) The lines intersect at (3 , 5 , 1) 28) x + y + z = 0 34) 2 x- 4 y + 2 z = 0 46) Intersection is at the point (7 ,- 4 , 3) 52) Planes are perpendicular 1 58) x- 2 2 = y +1- 1 = z 5 Section 12.6 4) Parabolic cylinder in y-axis 8) Hyperbolic cylinder in z-axis 14) Ellipsoid centered at origin with intercepts x = ± 2 ,y = ± 5 ,z = ± 10 22) IV 24) III 26) I 28) V 36) Hyperboloid of one sheet with center (1...
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This note was uploaded on 10/13/2011 for the course MAC 2312 taught by Professor Bonner during the Spring '08 term at University of Florida.

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MAC 2313 Even HW Solutions - MAC 2313 Even Solutions Please...

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