Let a be the vector of length 125 that when drawn in standard position makes a 144° angle with the positive x-axis. let b be the vector of length 39 that when drawn in standard position makes a 302° angle with the positive x-axis. find the length of v = a + b and the angle θ that v makes with the positive x-axis when drawn in standard position. round your approximations to three decimal places.

The length is 90.033 and the angle that v makes with the positive x-axis is 153.339°

Step-by-step explanation:

Firstly we will have to convert our given vectors to their rectangular Cartesian vector form as follow,

Now that we have these, we can add them to obtain v as follows,

Now that we have the Cartesian vector form we can calculate its length and its direction with respect to the positive x-axis as follows(In fact we usually refer the angles from the positive x-axis),

So the length of the vector is 90.033 and the angle it makes with the positive x-axis is 153.339°.

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without