For given vectors, a=2i^−j^+2k^ and b=−i^+j^−k^ find the unit vector in the direction of the vector a+b.

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For given vectors, {{a}}={2}{{i}}-{{j}}+{2}{{k}} and {{b}}=-{{

Question

For given vectors, $a = 2 \hat{i} - \hat{j} + 2 \hat{k}$ and $b = - \hat{i} + \hat{j} - \hat{k}$ find the unit vector in the direction of the vector $a + b$ .

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Harper Discussed

For given vectors,

a = 2 \hat{i} - \hat{j} + 2 \hat{k}

and

b = - \hat{i} + \hat{j} - \hat{k}

find the unit vector in the direction of the vector

a + b

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Question Text

For given vectors,

a = 2 \hat{i} - \hat{j} + 2 \hat{k}

and

b = - \hat{i} + \hat{j} - \hat{k}

find the unit vector in the direction of the vector

a + b