Consider the two vectors A = 3 î - ĵ and B = - î - 2 ĵ.

(a) Calculate A + B

(b) Calculate A - B

(a) A+B = 2i-3j

(B) A-B = 4i + j

Explanation:

We have given two vectors A = 3i-j and B = - 1-2j

We have to find the two vectors that is A+B and A-B

(A) In first art we have calculate A+B for this we have to add simply vector A and v ector B

So A+B = 3i-j-i-2j = 2i-3j

(B) In this part we have to find A-B for this we have to simply subtract B from A so A-B = 3i-j - (-i-2j) = 3i-j+i+2j = 4i+j