If vectors a,b and c have …
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Shweta Gulati 8 years, 5 months ago
m(A) = 12, m(B) = 5, m(C) = 13, where m(X) stands for magnitude of X.
A + B = C
squaring both sides,
A.A+ B.B + 2 A.B = C.C
note 'dot’ product i.e. A.A is equal to m(A)ˆ2.
=> m(A)ˆ2 + m(B)ˆ2 + 2 m(A)m(B)cos(ab) = m(C)ˆ2 , where ab is the angle between A and B.
Substituting the values in the above equation,
=> 144 + 25 + 60cos(ab) = 169
=> 169 + 60cos(ab) = 169
=> 60cos(ab) = 0
=> cos(ab) = 0
=> cos(ab) = cos(pi/2) or cos(90deg)
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