The position vectors of PandQ are 5i^+4j^+ak^ and −i^+2j^−2k^ , respectively. If the distance between them is 7, then find the value of a˙

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The position vectors of {P}{a}{n}{d}{Q} are 5{{i}}+{4}{{j}}+{a

Question

The position vectors of $P a n d Q$ are 5 $\hat{i} + 4 \hat{j} + a \hat{k}$ and $- \hat{i} + 2 \hat{j} - 2 \hat{k}$ , respectively. If the distance between them is 7, then find the value of $a ˙$

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Levi Discussed

The position vectors of

P a n d Q

are 5

\hat{i} + 4 \hat{j} + a \hat{k}

and

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

, respectively. If the distance between them is 7, then find the value of

a ˙

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Question Text

The position vectors of

P a n d Q

are 5

\hat{i} + 4 \hat{j} + a \hat{k}

and

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

, respectively. If the distance between them is 7, then find the value of

a ˙