Problem 9CQ

Suppose you add two vectors A and B. What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction between them produces the resultant with the smallest magnitude? What is the minimum magnitude?

Solution 9CQ

If two vectors A and B are in the same direction then the resultant will have the greatest magnitude.

The maximum magnitude is the sum of magnitudes of vector A and B. = +

If two vectors A and B are in the opposite direction...