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) ... ?

Question

Todd Molina

Physics

2 January, 12:56

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) ... ?

+2

Answers (1)

Know the Answer?

Aurora · Answer 1

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