Question

a vector has a magnitude of 12. when its tail is at the origin it lies between the positive x axis and the negative y axis and makes on angle of 30 degree with the x axis . its y component is ....................

Answer 1

$- 6 \sqrt{3}$

Answer 2

The magnitude of y component of the vector is equals to 6√3

Explanation:

Given that the magnitude of the vector (say V) is equals to 12 and which makes an angle of 30 degrees with x axis.

Now we need to find the value of y component of the vector.

For this we plot the diagram on x-y axis for the 4th quadrant.

In the attached image we see that the y component comes out to be equals to V sin60

Now we know that the value of sin60=√3/2

⇒y component = 12*((√3)/2)

⇒The magnitude of the y component = 6√3

Hence the answer is 6√3.