5.1 a) 3*4*sin(pi*3) b) 7*5*sin(arccos(-21/(7*5))) c) 3*6*sin(0) 5.2 CrossProduct[{2,-3,1},{5,1,-2}] CrossProduct[3*{2,-3,1}-2*{5,1,-2},{2,-3,1}+5*{5,1,-2}] 5.3 a) CrossProduct[{2,2,11},{-2,2,5}] b) CrossProduct[{1,-3,2},{-3,-1,-4}] 5.4 1/2*(3*0-4*0+(2+6)*6*6*sin(pi/4)) 5.5 |-3*0-2*0+(1-6)*5*4*sin(pi/6)| 5.6 {1,2}.{2,-1} ||{1,2}|| - ||{2,-1}|| CrossProduct[1/sqrt(5)*{1,2, 0},{2,-1, 0}] 5.7 CrossProduct[{2,3,-1},{1,-1,3}] *(-1) 5.8 CrossProduct[-1/(25*sqrt(5))*{11,10,2},{4,0,3}] 5.9 a) CrossProduct[{1,0,0},{1,-5,-2}] b) CrossProduct[{0,0,1},{2,5,7}] 5.10 a) CrossProduct[{1,4,1},{3,-2,1}] -(0+4*0+0) b) CrossProduct[{2,1,1},{-4,-3,-1}] -(-1-7-(-6)) c) CrossProduct[{1,0,-3},{-1,1,0}] -(2*3+0*3+2*1) 5.11 solve 5x-z+3=0, 2x-y-4z+5=0, 3y+2z-1=0 5.12 -(1*1-2*(-2)+3*1)