Question

there are 2 questions into 1
The displacement vector from your house to the library is 670 m long, pointing 25 ∘ north of east. What are the x-component (x-axis is directed from west to east) of this displacement vector?
Express your answer using two significant figures and include the appropriate units.

question 2
What are the y-component (y-axis is directed from south to north) of this displacement vector?
Express your answer using two significant figures and include the appropriate units.

Answer 1

As we know that magnitude of the vector is 670 m

and it is inclined 25 degree with x axis

now we know that component of vector along x direction is given as

$x = L cos\theta$

$x = 670 cos25$

$x = 610 m$

Part 2)

In order to find the other component of the vector we can use

$y = L sin\theta$

$y = 670 sin25$

$y = 280 m$