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Given the vectors U=(2,1,4) and V=(3,1,2) Find all the vectors which are perpendicular on U and V using:
a) The dot product
b) The cross product
 one year ago
 one year ago
Given the vectors U=(2,1,4) and V=(3,1,2) Find all the vectors which are perpendicular on U and V using: a) The dot product b) The cross product
 one year ago
 one year ago

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klimenkovBest ResponseYou've already chosen the best response.3
1) For dot product there is a system. X is a vector we need to find: \(\overrightarrow u \cdot \overrightarrow x=0\) \(\overrightarrow v\cdot \overrightarrow x=0\) Here you have 2 equations and 3 variables (components of X). 2) Every vector that is perpendicular on any two vectors has the same direction as the cross product of these two vectors. So: \(\overrightarrow x=\alpha (\overrightarrow u\times\overrightarrow v) \)
 one year ago

klimenkovBest ResponseYou've already chosen the best response.3
All you have to know to solve your problem is to know formulas for dot and cross products and read above.
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
\[\rm \langle a_1,a_2\cdots\rangle \mathbf{\Large \cdot }\langle b_1, b_2\cdots\rangle = a_1b_1+a_2b_2\cdots\]
 one year ago

tonykart44Best ResponseYou've already chosen the best response.0
Ok so for the dot product I will get a parametric equation?
 one year ago

tonykart44Best ResponseYou've already chosen the best response.0
And a cartesian equation for the cross product right?
 one year ago

klimenkovBest ResponseYou've already chosen the best response.3
Yes. If your vectors are in the cartesian coordinate system.
 one year ago

tonykart44Best ResponseYou've already chosen the best response.0
Alright, thank you very much. I just want to say that you guys and this site are awesome. Honestly I really didn't expect an answer this fast. Thank you very much.
 one year ago
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