Additon of Vectors help

Mathematics
Tutor: None Selected Time limit: 1 Day

The vectors A=352, (Theta)A=174 degrees, B=279, (Theta)B=338 degrees added together is? Please round your answer to one decimal point

Nov 20th, 2014

Vector A can be written as the addition of XA and YA, where

XA=352cos174, YA=352sin174

Similarly, Vector B can be written as 

XB=279cos338, YB=279sin338

So to add vector A and vector B together, you first add XA and XB as well as YA and YB together.

XC=XA+XB=352cos174 + 279cos338 = -350.1 + 258.7 = -91.4

YC=YA+YB=352sin174 + 279sin338 = 36.8 -104.5 = -67.7

So the length of the new vector C is

( (-91.4)^2+ (-67.7)^2)^0.5 = 113.7

Then to get the angle of vector C:

sin (Theta C)=-67.7/113.7=-0.60

cos (Theta C)=-91.4/113.7=-0.80

So (Theta) C= 217 degrees


Nov 20th, 2014

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