Homework Help: Physics

Posted by nelly on Monday, September 6, 2010 at 3:17pm.

Vector ~A has a magnitude of 7 and points in the positive x-direction. Vector ~B has a magnitude of 21 and makes an angle of 30◦ with the positive x-axis.
What is the magnitude of ~A − ~B ?

Physics - Henry, Tuesday, September 7, 2010 at 6:54pm
X = 7 + 21Cos(30) = 7 + 18.19 = 25.19,
Y = 21Sin(30) = 10.5,
Z^2 = X^2 + Y^2 = (25.19)^2 + (10.5)^2 = 634.54 + 110.25 = 744.8,
Z = sqrt(744.8) = 27.3 = Magnitude.

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