Find a - b - ifi a -2- b -5 and a - b -8ii a -3- b -4 and a - b -1iii a -2- b -3 and a - b -4

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Difference of Two Sets

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Question

Find $|\vec{a} - \vec{b}|$ if
(i) $|\vec{a}| = 2, |\vec{b}| = 5 and \vec{a} \cdot \vec{b} = 8$

(ii) $|\vec{a}| = 3, |\vec{b}| = 4 and \vec{a} \cdot \vec{b} = 1$

(iii) $|\vec{a}| = 2, |\vec{b}| = 3 and \vec{a} \cdot \vec{b} = 4$

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\vec{a} and \vec{b}

|\vec{a}| = \sqrt{3}, |\vec{b}| = 2 and \vec{a} \cdot \vec{b} = \sqrt{6}

|\vec{a}| = 3, |\vec{b}| = 3 and \vec{a} \cdot \vec{b} = 1

Let A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}. Find A - B and B - A.

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\frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} - \sqrt{3}} = a + b \sqrt{15}

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