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someone help please I need help not yet redoomed an acoes cods for this class or

ID: 1636531 • Letter: S

Question


someone help please I need help

not yet redoomed an acoes cods for this class or purchosed access online. Th 0O AMMDT. Alter that date you will no longer be able to see your WebAssign ass What angle does this electric field make with the positive x axis? (counterclockwise from the + x axis) 12586- v Show My Work (optional) For the two vectors A and B in Figure 3-31, find the following A2 m 45" 2 m Figure 3-31. (a) A + B (b) A -B (c) 2A + B (d) 2B - A x mi+ 2 Show My Work (optional) a 5. 5.88/5.88235 points 1 Previous Answers Extra Credit for Physics 211G ONLY

Explanation / Answer

For this, we need to write the two vectors in component form. accordingly, A can be written

A= 2 cos 45 i + 2 sin 45 j = 1.414 i + 1.414 j

here 2 cos 45 is the x- component and 2 sin 45 is the y-component for A.

Similarly vector B can be written as:

B= 2 cos 30 i - 2 sin 30 j = 1.732 i - 1 j

i. A + B

=  (1.414 i + 1.414 j) + (1.732 i - 1 j)

= (1.414 +1.732) i + (1.414-1)j

= 3.146 i + 0.414 j

ii. A-B

=  (1.414 i + 1.414 j) - (1.732 i - 1 j)

= (1.414 -1.732) i + (1.414 +1)j

= -0.318 i + 2.414 j

iii. 2A + B

=2 x (1.414 i + 1.414 j) + (1.732 i - 1 j)

= (2 x1.414 +1.732) i + (2x1.414-1)j

= 4.56 i + 1.828 j

iv. 2B - A

= 2 x (1.732 i - 1 j)-(1.414 i + 1.414 j)

= ( 2 x 1.732 -1.414)i + ( 2 x (-1)-1.414)j

= 2.05 i - 3.414 j

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