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Solution

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A + B = 6,123 units at angle 112,5 degrees.

A - B = 14,782 units at angle 22,5 degrees.

Explanation:

For vector addition, we resolve each vector into horizontal and vertical components and then add each direction separately. The overall magnitude is ten found from Pythagoras, and the direction from a trig ratio. (Details in sketch)

For vector subtraction, simply add the negative of the second vector and repeat the process.

Explanation:

For vector addition, we resolve each vector into horizontal and vertical components and then add each direction separately. The overall magnitude is ten found from Pythagoras, and the direction from a trig ratio. (Details in sketch)

For vector subtraction, simply add the negative of the second vector and repeat the process.

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