QNO.1) Prove that i*(a*i)+j*(a*j)+k*(a*k)=2a where i,j,k are mutually perpendicular unit vectors along coordinate axes. QNO.2) If a,b,c be 3 unit vectors such that a*(b*c)=b/2. Find the angles which a makes with b and c, where b and c are being non parallel vectors. QNO.3)Show that the vectors a*(b*c), b*(c*a) and c*(a*b) are coplanar.





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