Question:medium

If \( 3\hat{i} + 2\hat{j} - 5\hat{k} = x(2\hat{i} - \hat{j} + \hat{k}) + y(\hat{i} + 3\hat{j} - 2\hat{k}) + z(-2\hat{i} + \hat{j} - 3\hat{k}) \), then

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Always equate components when vectors are equal.
Updated On: May 1, 2026
  • \( x=1,y=2,z=3 \)
  • \( x=2,y=3,z=1 \)
  • \( x=3,y=1,z=2 \)
  • \( x=1,y=3,z=2 \)
  • \( x=2,y=2,z=3 \)
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The Correct Option is D

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