Suppose the resultant of vectors A and B makes an angle with A and an angle with B . It follows that

Step-by-step solution

Let be the angle between vectors A and B . The resultant vector is given by R = A + B . Using the sine rule in the triangle formed by vector addition: A = B = R (180^ - ) = B A If A > B , then B A This implies Since + = 180^ , we get Thus, the resultant is always inclined closer to the vector with the larger magnitude.