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    				| 1. | 
                                    Let hat(alpha),hat(beta),hat(gamma) be three unit vectors such that hat(alpha)xx(hat(beta)xxhat(gamma)) =(1)/(2)(hat(beta)+hat(gamma))" where "hat(alpha)xx(hat(beta)xxhat(gamma))=(hat(alpha).hat(gamma))hat(beta)-(hat(alpha).hat(beta))hat(gamma). If hat(beta)" is not parallel to "hat(gamma)," then the angle between "hat(alpha)andhat(beta) is | 
                            
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