dere3988 dere3988
  • 17-02-2018
  • Mathematics
contestada

Find the angle between the vectors. (first find an exact expression and then approximate to the nearest degree.) a = 5, −1, 7 , b = −2, 4, 3

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CastleRook
CastleRook CastleRook
  • 26-02-2018
a.b=lallbl cos t
a.b=(-2*5)+(-1*4)+(3*7)
a.b=7

lal=√(25+1+49)=5√3
lbl=√(4+16+9)=√29
therefore:
7=5√3×√29 cost
cost=0.1501
t=arccos 0.1501=81.37°
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