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anonymous
 one year ago
Suppose that u and v are orthogonal vectors in R^n. Find the value of the expression <3uv. 3u+v>.
anonymous
 one year ago
Suppose that u and v are orthogonal vectors in R^n. Find the value of the expression <3uv. 3u+v>.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The notation used here "<x,y>" is the way they represent the dot product of vector x and vector y in my current textbook

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1you can distribute in the dot product so use FOIL and then bear in mind that \(\mathbf u \bullet \mathbf v = 0 \) and vice versa

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1if that worries you, start with this idea and expand it out to 4 vectors \[ \mathbf A \cdot ( \mathbf B + \mathbf C ) = \mathbf A \cdot \mathbf B + \mathbf A \cdot \mathbf C .\] now let \(\mathbf A = \mathbf D + \mathbf E \)
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