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a bird moves from point (1,-2,3) to (4,2,3). if the speed of the bird is 10m/s, then the velocity vector of the bird is what?

Asked by jaychandran1967 1st December 2017, 7:54 PM
Answered by Expert
Answer:
initial position vector A=i-2j+3k
final position vector B= 4i+2j+3k
 
displacement vector= B-A = 4i+2j+3k -(i-2j+3k)=3i+4j
 
unit displacement vector
 
 
equals fraction numerator B minus A over denominator open vertical bar B minus A close vertical bar end fraction equals fraction numerator 3 i plus 4 j over denominator open vertical bar 3 i plus 4 j close vertical bar end fraction equals fraction numerator 3 i plus 4 j over denominator 5 end fraction  m a g n i t u d e space o f space v e l o c i t y space equals 10 space m divided by s  v e l o c i t y space v e c t o r equals space m a g n i t u d e space x space u n i t space v e c t o r equals space 10 space x space fraction numerator 3 i plus 4 j over denominator 5 end fraction equals space 6 i plus 8 j space space m divided by s
 
 
 
 
Answered by Expert 3rd December 2017, 10:20 PM
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