Find Angle Between Vectors

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  • Thread starter brinlin
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  • #1
brinlin
13
0
Find the angle between the vectors \(\displaystyle v=-5\sqrt{3}i+5j\) and \(\displaystyle w=5i\)
 

Answers and Replies

  • #2
skeeter
1,104
1
I'd use the dot product formula ...

$\cos{\theta} = \dfrac{\vec{v} \cdot \vec{w}}{|v| \, |w|}$
 
  • #3
brinlin
13
0
when we use the dot product formula. What would we plug in for v and w.
 
  • #4
skeeter
1,104
1
to calculate the dot product of two vectors given in component form …

$(a \vec{i} + b \vec{j}) \cdot (c \vec{i} + d \vec{j}) = ac + bd$

… note the dot product is a scalar quantity
 
  • #5
HOI
923
2
when we use the dot product formula. What would we plug in for v and w.
? YOU said, in your first post that
$v= -5\sqrt{3}i+ 5j$
$w= 5i$.
 

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