jtcarreno5424 jtcarreno5424
  • 03-09-2017
  • Mathematics
contestada

Find a ·
b. |a| = 60, |b| = 30, the angle between a and b is 3π/4.

Respuesta :

meerkat18
meerkat18 meerkat18
  • 15-09-2017
The dot product is used to determine the magnitude of the resultant vector of two component vectors. It is expressed as a·b. It does not literally mean that you multiply their values. Instead, you multiply their matrices. However, since we cannot find matrices, let's just find the resultant vector through theorems involving triangles. By cosine law:

R = √[a² + b² - 2abcos(3π/4)]
R = √[60² + 30² - 2*60*30*cos(3π/4)]
R = 83.94

Thus, a·b = 83.94
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