Header Ads

Determine the magnitude of E =-A-B+C

July 28, 2018 0

A with rightwards arrow on top equals space 3 i space plus 3 j A with rightwards arrow on top subscript x equals space 3 i space comma space space space space space space stack A subscript y with rightwards arrow on top equals space 3 j B with rightwards arrow on top space equals i minus 4 j B with rightwards arrow on top subscript x space equals i comma space space space space space space stack B subscript y with rightwards arrow on top space equals negative 4 j stack C space with rightwards arrow on top equals negative 2 i plus 5 j stack C subscript x space with rightwards arrow on top equals negative 2 i comma space space space space space stack C subscript y space with rightwards arrow on top equals 5 j E with rightwards arrow on top equals negative A with rightwards arrow on top minus B with rightwards arrow on top space plus stack C space with rightwards arrow on top stack E subscript x with rightwards arrow on top equals negative stack A subscript x with rightwards arrow on top minus B with rightwards arrow on top subscript x space plus stack C subscript x space with rightwards arrow on top stack E subscript x with rightwards arrow on top equals negative 3 i minus i plus left parenthesis negative 2 i right parenthesis equals negative 6 i stack E subscript y with rightwards arrow on top equals negative stack A subscript y with rightwards arrow on top minus B with rightwards arrow on top subscript y space plus stack C subscript y space with rightwards arrow on top stack E subscript y with rightwards arrow on top equals negative 3 j minus left parenthesis negative 4 j right parenthesis plus 5 j stack E subscript y with rightwards arrow on top equals negative 3 j plus 4 j plus 5 j equals 6 j vertical line E vertical line equals square root of vertical line E subscript x vertical line squared plus vertical line E subscript y vertical line squared end root equals square root of left parenthesis negative 6 right parenthesis squared plus left parenthesis 6 right parenthesis squared end root equals 6 square root of 2 a n g l e space equals tan to the power of negative 1 end exponent E subscript y over E subscript x equals tan to the power of negative 1 end exponent fraction numerator negative 6 over denominator 6 end fraction equals tan to the power of negative 1 end exponent left parenthesis negative 1 right parenthesis equals negative 45 left parenthesis c l o c k space w i s e space w i t h space plus v e space x space a x i s right parenthesis 6 square root of 2 space 45 left parenthesis c l o c k space w i s e space w i t h space plus v e space x space a x i s right parenthesis o p t i o n space 2 space i s space c o r r e c t space
Tags:

No comments

Subscribe to: Post Comments ( Atom )
Powered by Blogger.