- #1

Jtechguy21

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## Homework Statement

Hello, I just started my summer class "Applied Linear Algebra I"

Last math class of my under-grad and its been 1 year since I've last taken Calc3, so I'm trying my best to get back into the groove...anyways.

Our first topic we are discussing in class is vectors.

[1]

This is all the information give to me.

Consider the Vector v = [x y] or <x, y > (which ever notation you prefer)

Find the components of the vector obtained by rotating v about the origin counter clockwise through an angle of 30 degrees.

## Homework Equations

## The Attempt at a Solution

Vector v lives in Quadrant 1, and therefore all I know is that x, and y are positive.So I rotate vector v by 30 degrees counter clock wise.

(Attached rough sketch)

I'm not sure what to do next but this is what I believe.

cos 30 = (square root of (3) )/ 2

sin 30 = 1/2

cos 30 = x / 1 (CAH)

sin 30 = y /1 (SOH)

Answer 1]

Components of vector v = <x,y>

Answer 2]

Components of vector v = < cos30, sin30 >

Can someone please tell me if I am on the right track.

thanks any guidance towards the right direction is greatly appreciated. I am here to learn.