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The vector <4  -7>is orthogonal to the vector <3  k>. The vector <2  m> is orthogonal to the vector <3  k>. Find m.

 May 4, 2019
 #1
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The dot product of orthogonal vectors   = 0

 

So

 

4*3 + -7*k  = 0

12 - 7k  = 0

12 = 7k

k  = 12/7

 

And

 

2*3 +  (12/7)* m  = 0

6 + (12/7)m  = 0

 

(12/7)m  = - 6

m = -6(7/12)   =  - 7/2

 

 

 

cool cool cool

 May 4, 2019

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