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133 - FML 3 - 18.1W e.g. 47

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Wize University Linear Algebra Textbook > Products of Vectors

Angle Between Vectors

6 Activities

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Mark Yourself Question
  1. Grab a piece of paper and try this problem yourself.
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Given u⃗=<1,0,1>\bcb{\vec{u} = \left< 1, 0, 1\right>} and v⃗=<1,0,0>\bcb{\vec{v} = \left< 1, 0, 0\right>}, compute the acute angle between u⃗\bcb{\vec{u}} and v⃗\bcb{\vec{v}}.




More Angle Between Vectors Questions:
Consider three vectors A⃗=2i^+j^,  B⃗=i^−2j^\vec{A}=2\hat{i}+\hat{j},\,\,\vec{B}=\hat{i}-2\hat{j}, and C⃗=−2i^+j^\vec{C}=-2\hat{i}+\hat{j}. The angle between C⃗\vec{C} and A⃗×B⃗\vec{A}\times\vec{B} is?
Find the value of cos 𝜃 where 𝜃 is the acute angle between 𝑢⃗=(1,−2)𝑢⃗=(1,−2) and 𝑣⃗=(3,1).\vec𝑣 = (3,1).
Additional practice problems--vector products
Additional Practice Problems--Vector Products
1. If u⃗=(−2,3,−1),  v⃗=(−1,−2,3)\vec{u}=\left(-2,3,-1\right),\ \ \vec{v}=\left(-1,-2,3\right), find
a) u⃗ ∙ v⃗\vec{u}\ \bullet\ \vec{v}