ch03-p054

# ch03-p054 - 54. The three vectors are d1 = 4.0 + 5.0 6.0 k...

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22 77 m ( 3.2 m) 8.2 m. d =− −= This gives the magnitude of the perpendicular component (and is consistent with what one would get using Eq. 3-27), but if more information (such as the direction, or a full specification in terms of unit vectors) is sought then more computation is needed. 54. The three vectors are 1 2 3 ˆˆ ˆ 4.0i 5.0j 6.0k ˆˆˆ 1.0i 2.0j+3.0k 4.0i 3.0j+2.0k d d d =+ + G G G (a) 123 ˆ (9.0 m)i (6.0 m)j ( 7.0 m)k rdd d =−+= + + GGG G . (b) The magnitude of r is 2 | | (9.0 m) (6.0 m) ( 7.0 m) 12.9 m r + = G . The angle between r G and the z -axis is given by ˆ k 7.0 m cos 0.543 r r θ ⋅− == = G G which implies 123 . (c) The component of 1 d G along the direction of
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## This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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