Asked by John
The vector x and y are the lenght of 3units(they both have a magnitude of 3). If the magnitude of( vectorx + vector y)= root 17, determine the magnitude of (vector x- vector y)
Answers
Answered by
Reiny
Did you make a diagram?
Draw vectors x and y, with Ø as the angle between them.
so we have a triangle with sides 3,3, and √17 with Ø contained between the two equal sides
17 = 9 + 9 - 2(3)(3)cosØ
cosØ =1/18
Ø = 86.81
now draw -vector y
then |x-y| is opposite the angle 180-86.81
let its magnitude be m
m^2 = 9+9-2(3)(3)cos93.185
= 19
m = √19
Draw vectors x and y, with Ø as the angle between them.
so we have a triangle with sides 3,3, and √17 with Ø contained between the two equal sides
17 = 9 + 9 - 2(3)(3)cosØ
cosØ =1/18
Ø = 86.81
now draw -vector y
then |x-y| is opposite the angle 180-86.81
let its magnitude be m
m^2 = 9+9-2(3)(3)cos93.185
= 19
m = √19
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.