If `vec(a)=6hat(i)+8hat(j)" and "vec(b)=3hat(j)+4hat(k)`, then determine the vector component of `vec(a)` along `vec(b)`.

If veca=6hati+8hatj and vecb=3hatj+4hatk then determine the vector component of veca along vecb .

Write the direction cosines of the vector hat(j) .

If A (1,2,3), B (-1,2, -3), C (1 , -2, 3) and D (-1, -2, -3) are points in space, then find the angle between the directed lines vec(AB) and vec(CD).

If A = {1, 2, 3, 4, 5} and A' uu B = {3, 4, 5, 6, 7, 8, 9, 10) then determine the universal set.

If bar E = (3 hati +6 hat j+4 hat k)N/C ,calculate the elctric flux through a surface area 20cm^2 in Y-X plane .