Question

A vector in x-y plane makes an angle 30" with x-axis. If x component is 10root 5, then magnitude of vector is​

Answer 1

Step-by-step explanation:

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Answer 2

Given : A vector in x-y plane makes an angle 30" with x-axis.  x component is 10root 5

To find: magnitude of vector

Solution:

Let say Magnitude of Vector  = M

vector in x-y plane makes an angle 30° with x-axis

=> x Component = M Cos 30°

x Component = 10√5

Equating x Component

=> M Cos 30° = 10√5

Cos 30° = √3 / 2

=> M √3 / 2 = 10√5

=>  M = 20√5 / √3  

magnitude of vector is​   20√5 / √3

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