Consider the vectors A with arrow = 4.00 î + 5.00 and B with arrow = 4.00 î 5.00
ID: 1523262 • Letter: C
Question
Consider the vectors A with arrow = 4.00 î + 5.00 and B with arrow = 4.00 î 5.00 . Find the vector sum C with arrow = A with arrow + B with arrow and the vector difference Darrowbold = A with arrow B with arrow
(a) Calculate C with arrow and D with arrow in terms of unit vectors. C with arrow = î + Darrowbold = î +
(b)Calculate C with arrow and D with arrow in terms of polar coordinates, with angles measured with respect to the positive x axis. vector C with arrow magnitude direction ° counterclockwise from the +x axis vector D with arrow magnitude direction ° counterclockwise from the +x axis
Explanation / Answer
a)C=A+B
=(4.00 î + 5.00 )+(4.00 î 5.00 )
=8î+0
D=A-B
=(4.00 î + 5.00 )-(4.00 î 5.00 )
=0î+10
b) C= 4 direction 0 degrees
D=10 direction 90 degrees