Question:

Given vecP = 2hati - 3hatj + 4hatk and vecQ = hatj - 2hatk. The magnitude of their resultant is:

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Always add vectors component-wise before finding magnitude.
Updated On: Mar 20, 2026
  • \( \sqrt{3} \)
  • \( 2\sqrt{3} \)
  • \( 3\sqrt{3} \)
  • 4√(3)
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The Correct Option is C

Solution and Explanation


Step 1:
Resultant vector: vecR = vecP + vecQ = 2hati -2hatj +2hatk
Step 2:
Magnitude: |vecR| = √(2² + (-2)² + 2²) = √(12) = 3√(3)
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