SOLUTION: I have no clue how to do these problems. Please help me understand Find the expression. 1.) u = (-3,-2), v = (-8, -11) Find u-v choices: a.) (-5,-19) b.) (-1,3) c.) (5,9) d.)

Question 867456: I have no clue how to do these problems. Please help me understand
Find the expression.
1.) u = (-3,-2), v = (-8, -11) Find u-v
choices: a.) (-5,-19) b.) (-1,3) c.) (5,9) d.) (-11,-13)
2.) w = (-1,3) and v = (0,1) Find ||-4w -v||
choices: a.) 185 b.)sqrt 185 c.) sqrt 155 d.) 155
3.) u = 4i - 6j and v = -5i - 21j; Find ||v-u||
choices: a.) sqrt 34 b.) -2 sqrt 34 c.) 3 sqrt 35 d.) 3 sqrt 34
4.) if v = 3i + j and w = -10i + j; Find ||v + w||
choices: a.) sqrt 130 b.) 13 c.) sqrt 53 d.) sqrt 111

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the expression.
1.) u = (-3,-2), v = (-8, -11) Find u-v
Ans: (-3--8,-2--11) = (5,9
--------------------------------------
choices: a.) (-5,-19) b.) (-1,3) c.) (5,9) d.) (-11,-13)
---------------------------------------------------------------
2.) w = (-1,3) and v = (0,1) Find ||-4w -v||
||-4(-1,3)-(0,1)|| = ||(4,-12)-(0,1)|| = ||(4,-13|| = sqrt[4^2+13^2||
= sqrt(185)
choices: a.) 185 b.)sqrt 185 c.) sqrt 155 d.) 155
--------------------------------------------------------------
3.) u = 4i - 6j and v = -5i - 21j; Find ||v-u||
||v-u|| = ||-9i - 15j|| = sqrt(9^2+15^2) = sqrt(306) = 3sqrt(34)
choices: a.) sqrt 34 b.) -2 sqrt 34 c.) 3 sqrt 35 d.) 3 sqrt 34
===================================================================
4.) if v = 3i + j and w = -10i + j; Find ||v + w||
choices: a.) sqrt 130 b.) 13 c.) sqrt 53 d.) sqrt 111
I'll leave #4 to you.
Cheers,
Stan H.
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