Answer :
Explanation:
Let's break it down:
- Vector A has a magnitude of 10 units and is directed due east.
- -10A would be a vector with the same direction as A (due east) but with a magnitude of 10 x 10 = 100 units. Since it's negative, it would be directed due west. So, the magnitude is 100 units, and the direction is due west.
- Vector A + 10A would be a vector with the same direction as A (due east) and a magnitude of 10 + 10 x 10 = 110 units. So, the magnitude is 110 units, and the direction is due east.
- The magnitude of A - A would be 10 - 10 = 0 units, and the direction would be undefined (since it's a zero vector).
So, to summarize:
- -10A: magnitude = 100 units, direction = due west
- A + 10A: magnitude = 110 units, direction = due east
- A - A: magnitude = 0 units, direction = undefined