Question

HEY. Mates:-

Q:- X-component of vector is 3 units, if it makes 30° with positive x-axis than other component is...

A)3

B)√3

C) 1/√3

D)3√3..

please details must be provided ☺​

Answer 1

A) 3 ............................................

Answer 2

The answer is 1✓3

Means option b) ✓3 because let have a example:-

Question:- The x and y components of a vector are 4√3m and 4m respectively. What angle does the vector make with a positive x axis?

Answer:-

x component = 4√3 î

y component = 4 j

So the vector = 4√3 î + 4 j

Magnitude = √((4√3)^2 + 4^2) = 8

And x-axis = 1 î

Therefore dot product = (4√3 î + 4 j)•(1 î + 0 j)

= (4√3)

And dot product is =

magnitude × cos (angle between vectors)

Therefore 4√3 =8 × cos (angle)

which implies cos (angle) = √3/2

Angle = 30° or 330° but since vector lies in 1st quadrant angle is 30°.

By this example hope you understand Mark as brainliest please