Question:

\((\vec{i}-\vec{j}+\vec{k})\cdot(7\vec{i}-8\vec{j}+9\vec{k})=\) ?

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Write vectors as triples and use \(a_1a_2+b_1b_2+c_1c_2\).
  • \(22\)
  • \(23\)
  • \(24\)
  • \(25\)
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The Correct Option is C

Solution and Explanation

Dot product: multiply components and add: \[ 1\cdot7+(-1)\cdot(-8)+1\cdot9=7+8+9=24. \]
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