Question

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) ...?

Answer 1

9j-

Step-by-step explanation:

Answer 2

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