Question

a vector in x-y plane makes an angle 30 with x axis . if x component is 10 root 3 then magnitude of vector is

Answer 1

Answer:

20

Explanation:

here let the x component be Vx and vector be V

then as in the question Vx should be equals to Vcos30 then V = Vx/cos 30 = 10root 3 / root 3/2

=20

Answer 2

Given : A vector in x-y plane makes an angle 30" with x-axis.  x component is 10root 3

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√3

Equating x Component

=> M Cos 30° = 10√5

Cos 30° = √3 / 2

=> M √3 / 2 = 10√3

=>  M = 20

magnitude of vector is​   20  

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