I)Find the angle between (I+j )and (j+k)?
II)Find the angle between (I+j) and (j-k)?

PLEASE ANSWER.I NEED IT URGENTLY...

I did that in maths, using the dot product formula;

ab.cb = |ab||cb|cos A

Let ab be your vector i+j and cb your vector j+k. Their vectors are:

\( 1 \\ 1 \\ 0 \) and \(0 \\ 1\\ 1\)

Now, the dot product, multiply the similar vectors (i direction with i direction, j with j, and k with k)and add them;

(1\times 0) + (1 \times 1) + (0 \times 1) = |\sqrt{1^2 + 1^2 + 0^2}||\sqrt{0^2 + 1^2 + 1^2}| cos A

Solve for A, which is your angle. (you should have 30 degrees)

Do the same for the other one.

Hope it helped! :)