so I\'m quite sure this is very basic stuff but I\'ve nevertaken physics before

Question

so I'm quite sure this is very basic stuff but I've nevertaken physics before and vectors are something entirely new tome I have vector A= 120 grams @ q= 40 degrees           vectorB= 275 grams @ q=100 degrees
and I have that the x and y components of vector Ais Ax=91.925 and Ay= 77.134 and for vector B I have Bx=-47.753 and By=270.822 and the resulting vector being R so Rx=44.172 andRy=347.956 and the angle being 82.764. Then I needed to calculate the magnitude and direction of theequilibrant E so I got the magnitude of E is 350.749 and the angleis 269.836. Now I need to use the dot product using 2 methods 1 )|A| |B| cos and 2) AxBx +AyBy So for 1 I need to find the magnitude of A soAx^2+Ay^2 and the same for B with the cos being theangle between them so that's 70 degrees? And then I justmultiply everything together? Method 2 seems okay to me, Ithink I get that one, it seems to be like I'm just plugging inthose components from the vectors right? but both of myanswers for the first method and the second method should be thesame? Then I'm suppose to calculate using the cross product but Iguess that's another post... so I'm quite sure this is very basic stuff but I've nevertaken physics before and vectors are something entirely new tome I have vector A= 120 grams @ q= 40 degrees           vectorB= 275 grams @ q=100 degrees
and I have that the x and y components of vector Ais Ax=91.925 and Ay= 77.134 and for vector B I have Bx=-47.753 and By=270.822 and the resulting vector being R so Rx=44.172 andRy=347.956 and the angle being 82.764. Then I needed to calculate the magnitude and direction of theequilibrant E so I got the magnitude of E is 350.749 and the angleis 269.836. Now I need to use the dot product using 2 methods 1 )|A| |B| cos and 2) AxBx +AyBy So for 1 I need to find the magnitude of A soAx^2+Ay^2 and the same for B with the cos being theangle between them so that's 70 degrees? And then I justmultiply everything together? Method 2 seems okay to me, Ithink I get that one, it seems to be like I'm just plugging inthose components from the vectors right? but both of myanswers for the first method and the second method should be thesame? Then I'm suppose to calculate using the cross product but Iguess that's another post...

Explanation / Answer

I need to use the dot product using 2 methods 1 ) |A||B| cos and 2) AxBx +AyBy So for 1 I need to find the magnitude of A soAx^2+Ay^2 and the same for B with the cos being theangle between them so that's 70 degrees? And then I justmultiply everything together? Method 2 seems okay to me, Ithink I get that one, it seems to be like I'm just plugging inthose components from the vectors right? but both of myanswers for the first method and the second method should be thesame?
yes you should get the same answer since the procedure you arefollowing is correct.

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