If a=i + 2j -3K and b= 3i-2j+2k then show that a+b and a-b are perpendicular to each other
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a=i + 2j -3K
b= 3i-2j+2k
a+b = 4i - k
a - b = - 2i+4j-5k
So
(a+b).(a-b) = - 8 + 0 +5 = - 3 # 0
So
a+b and a-b are not perpendicular to each other
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