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Question: Answered & Verified by Expert
What is the value of $P$ for which the vector $p(2 \hat{i}-\hat{j}+2 \hat{k})$ is of 3 units length ?
MathematicsVector AlgebraNDANDA 2013 (Phase 2)
Options:
  • A 1
  • B 2
  • C 3
  • D 6
Solution:
1811 Upvotes Verified Answer
The correct answer is: 1
$|\mathrm{P}(2 \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}})|=3$
$\mathrm{P}\left|\sqrt{2^{2}+(-1)^{2}+2^{2}}\right|=3$
$3 \mathrm{P}=3 \Rightarrow \mathrm{P}=1$

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