Question

If vector a and b are unit vector then what is angle between vector a and b √2a-b is a unit vector

Answer 1

Answer:

π/3

Step-by-step explanation:

$|\sqrt{2} a-b|=1\\|\sqrt{2} a-b|^{2} =1\\2a^{2} +b^{2} -2\sqrt{2} a.b=1\\    {|a|=1 , |b|=1 , a.b=|a||b|cos\alpha \\2+1-2\sqrt{2} cos\alpha =1\\cos\alpha =1/\sqrt{2} \\\alpha =\pi /3$

Answer 2

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