Question

Express a1 and a2 in terms of I can and j cap using the vectors I j k cap along lie x y z axis respectively.!!!!!

Answer 1

A=i+j,therefore, |A|=(2)^1/2

B=2j+2k, therefore,|B|=(2^2+2^2)^1/2=(8)^1/2.

Then, |A||B|=(2X8)^1/2=4

Now, if angle between A and B is (theta), then

Cos(theta)=(A.B)/(|A||B|)=(i+j).(2j+2k)/(4)=(2)/(4)=1/2

Therefore, (theta)=cos^-1(1/2)=60 degree.