If $a = \hat{i} + \hat{j} + \hat{k}, b = 4 \hat{i} - 2 \hat{j} + 3 \hat{k}$ and $c = \hat{i} - 2 \hat{j} + \hat{k},$ find a vector of magnitude 6 units which is parallel to the vector $2 a - b + 3 c$ .

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a = \hat{i} + \hat{j} + \hat{k}, b = 4 \hat{i} - 2 \hat{j} + 3 \hat{k}

and

c = \hat{i} - 2 \hat{j} + \hat{k},

find a vector of magnitude 6 units which is parallel to the vector

2 a - b + 3 c

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Question Text

a = \hat{i} + \hat{j} + \hat{k}, b = 4 \hat{i} - 2 \hat{j} + 3 \hat{k}

and

c = \hat{i} - 2 \hat{j} + \hat{k},

find a vector of magnitude 6 units which is parallel to the vector

2 a - b + 3 c

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