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What is the relationship between the original vector โƒ—๐‘ƒ and the new vector โƒ—๐‘„ = sโƒ—๐‘ƒ when s = -2?

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Question

What is the relationship between the original vector \[\vec P\] and the new vector \[\vec Q\] = s\[\vec P\] when s = -2?

Options

  • Same direction, 2 × magnitude

  • Opposite direction, 2 × magnitude

  • Remains Same as \[\vec P\]

  • Turns into a number

MCQ
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Solution

Opposite direction, 2 × magnitude

Explanation:

Multiplying a vector by –2 flips its direction and doubles its length.

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