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class 11th physics
a=2i-3j+7k & b=-4i + 2j-4k. find the dot product a.b. of these two vectors if they are separated by q=60.
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Explanation:
a=2i+3j+7k and b= -4i+2j-4k
a.b= |a| |b| cosФ
a.b= (i1) (i2) + (j1) (j2) + (k1) (k2)
a.b= [ 2*(-4) ] + [3*2] + [7* (-4)]
a.b= -8 + 6 - 28
a.b= -2 - 28
a.b= -30
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