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Class-12-science»Maths

if a=b+c a and c are 3i+j+2k and 2i-2j+2k then mod a+b

a 3 b 2 c 6 d 1 e 4

$\vec{a} = \vec{b} + \vec{c} \Rightarrow \vec{b} = \vec{a} - \vec{c} = (3 \hat{i} + \hat{j} + 2 \hat{k}) - (2 \hat{i} - 2 \hat{j} + 2 \hat{k}) = \hat{i} + 3 \hat{j} | \vec{a} + \vec{b} | = | (3 \hat{i} + \hat{j} + 2 \hat{k}) + (\hat{i} + 3 \hat{j}) | = | 4 \hat{i} + 4 \hat{j} + 2 \hat{k} | = \sqrt{4^{2} + 4^{2} + 2^{2}} = 6$

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