Consider the two vectors A(with arrow above)=5i-3j and B(with arrow above)=-i-2j

1. Calculate A (with arrow above) + B (with arrow above)
2. Calculate A (with arrow above) - B (with arrow above)
3. Calculate absolute value of A (with arrow above) + B (with arrow above)
4. Calculate absolute value of A (with arrow above) - B (with arrow above)
5. Calculate the directions of A (with arrow above) + B (with arrow above) and A (with arrow above) - B (with arrow above).
(answers are counterclockwise from the +xaxis) ...?

Respuesta :


A= 5 i − 3 J and B = −i − 6 j 

A+ B 
=5 i − 3 j −i − 6 j = 4 i - 9 j ---answer 

A - B 
= 5 i − 3 j + i + 6 j = 6 i + 3j ---answer 

|A+B| 
= sq root [ 16 + 81] = 9.848 ---answer 

|A - B| 
= sq root [ 36 + 9] = 6.708 ---answer 

directions of A+ B 
= tan (-1) -9 /4 = - 66 deg --answer 

direction of A- B 
= tan (-1) 3 /6 = 26.56 deg --answer