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Consider vectors A⃗  = 2.0 ι^ + 3.0j^ and B⃗  = -4.0ι^ + 5.0 j^. 1. Calculate A⃗  +...

Consider vectors A⃗  = 2.0 ι^ + 3.0j^ and B⃗  = -4.0ι^ + 5.0 j^.

1. Calculate A⃗  + B⃗ . Express your answer as xι^+yj^.

2. Calculate A⃗  - B⃗ . Express your answer as xι^+yj^.

3. If the direction (but not the magnitude) of B⃗  is allowed to change by any amount you like, how large can |A⃗  + B⃗ | be?

4. If the direction (but not the magnitude) of B⃗  is allowed to change by any amount you like, how small can |A⃗  + B⃗ | be?

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