if vectors are A= i+j+k and vector B = -i-j-k,then find the angle between vector (A - B) and A.

A  = i + j + kB = -i - j - kLet C = A - B = 2i + 2j + 2kMagnitude of A = A = 1+1+1 3C = 4+4+4 = 23dot product between A and CA.C = AC cos θwhere θ is angle between (A-B) and A.2+2+2 = 3.23 cos θ cos θ = 1θ = 0o

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