Help with math questions

Test Preparation
1

<p>Okay we are covering some pre-cal in my act prep class and I am having trouble with these questions </p>

<ol>
<li><p>Given u= <3,2,1> & v= <3,-1,2> & w= <7,-1,2> find vector z where z= 3u-v+3w
A) what is the z component:________ And linear form of the standard unit of z:______</p>

<ol>
<li>Calculate the angle between u=2i-j+k and v=-3i+2j+2k
Angle between u and v is _____ degrees </li>
</ol></li>
<li><p>Identify if the pair if vectors is orthogonal, parallel or neither
A) u=i+2j+3k V=-i+2j-k
B) u=4i-2j+12k v=6i-3j+18k </p></li>
<li><p>Find the area of a parallelogram that has the vectors as adjacent sides u=2i-4j-3k and v=-i+2j+2k</p>

<ol>
<li>Find the volume of the prism formed by three vectors: u=3i-j+2k v=2i+j+5k and w=i-2j-2k </li>
</ol></li>
<li><p>Find the equation of the plane that passes through the points (2,1,-4)
(-3,1,3) and (-2,-1,0) and how would you test the point?</p>

<ol>
<li>Calculate the distance between the points (2,-1,-2) and plane 2x-3y+z=2 </li>
</ol></li>
<li><p>Find The angle between the two planes 4x-y+z=0 and 2x+y+3z=0 </p></li>
</ol>

<p>Thanks in advance!!</p>

2

<p>I don’t think we are allowed to give help here.</p>

3

<p>It’s not hw or anything that will be turned in for a grade… I’m just having trouble with the concepts.
Bummmmppp please</p>

4

<p>It seems like you just don’t understand what vectors are at all. Google is your friend.</p>

<p>Whenever you do math with vectors and they give you the separate components (i.e. i, j, k) then all you need to do is deal with like components. e.g. <1,2,0> + <1,2,0> = <2,4,0></p>

<p>If you have to find the non-vector form, Pythagorean theorem.</p>

5

<p>I’ve taken two ACTs and numerous practice tests. Vectors have never been on there.</p>