Question

A vector with magnitude 5 points in a direction 340 degrees counterclockwise from the positive x axis. Write the vector in component form. Vector = Give each value accurate to at least 1 decimal place

Answer 1

we get the x and y component as ,

$x=|v|\cos \theta=5\cos 340\degree\approx 4.7$

$y=|v|\sin \theta=5\sin 340\degree\approx -1.7$

so we write the vector as

$v=<x,y>=\boldsymbol{<4.7,-1.7>\ or \ (4.7,-1.7)}$