- #1

brinlin

- 13

- 0

Find the angle between the vectors \(\displaystyle v=-5\sqrt{3}i+5j\) and \(\displaystyle w=5i\)

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- MHB
- Thread starter brinlin
- Start date

- #1

brinlin

- 13

- 0

Find the angle between the vectors \(\displaystyle v=-5\sqrt{3}i+5j\) and \(\displaystyle w=5i\)

- #2

skeeter

- 1,104

- 1

I'd use the dot product formula ...

$\cos{\theta} = \dfrac{\vec{v} \cdot \vec{w}}{|v| \, |w|}$

$\cos{\theta} = \dfrac{\vec{v} \cdot \vec{w}}{|v| \, |w|}$

- #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

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

… note the dot product is a scalar quantity

- #5

HOI

- 923

- 2

? YOU said, in your first post thatwhen we use the dot product formula. What would we plug in for v and w.

$v= -5\sqrt{3}i+ 5j$

$w= 5i$.

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