Question

Magnitude and vectors?

Thanks all

Answer 1

See the answer below...

Explanation:

• We have a rule that if two vectors are `color(red)u` and `color(red)v` and the angle between them is `color(red)theta` ,then the resultant of these two vectors or, the mod value of the sum of the two vectors is `R=color(red)(sqrt(|u|^2+|v|^2+2|u||v|costheta`
  [Let the resultant's mod value is R]
• The angle of the resultant with a given vector is `color(red)(tan^-1((bsintheta)/(a+bcostheta))`

Hence,the magnitude of the resultant is `color(red)sqrt(11^2+15^2+2cdot11cdot15cdotcos65^@)=22.03("approx")`

and the angle is `color(red)(tan^-1((15sin65^@)/(11+15cos65^@))=20.08^@`

Hope the answer helps...
Thank you...