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Using Inner Product Properties to Solve Vector Problems
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[QUOTE="Blackbear38, post: 6544790, member: 694521"] [B]Summary::[/B] I need to solve a problem for an assignment but just couldn't find the right approach. I fail to eliminate b or c to get only the magnitude of a. Let a, b and c be unit vectors such that a⋅b=1/4, b⋅c=1/7 and a⋅c=1/8. Evaluate (write in the exact form): - ||4a|| - 3a.5b - a.(b-c) - (a+b+c).(a-b) What I first did was ab.ac = a^(2).bc then substitute values of ab, ac, and bc, but I cannot confirm that this is the correct approach. Hence, I found: ab.ac = a^(2).bc (1/4)(1/8)=a^(2)(1/7) a^(2) = 7/32 Hence, ||a|| = sqrt(14)/8 I really hope that this doubt can be clarified for all the parts of my question. Thanks! [COLOR=rgb(41, 105, 176)][B][Moderator's note: moved from a technical forum.][/B][/COLOR] [/QUOTE]
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Using Inner Product Properties to Solve Vector Problems
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