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What happen, when we multiply a vector by -2?
  • a)
    Direction reverses and unit changes
  • b)
    Direction reverses and magnitude is doubled
  • c)
    Direction remains unchanged but unit changes
  • d)
    Neither direction reverses not unit changes but magnitude is doubled
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What happen, when we multiply a vector by -2?a) ...
When a vector is xplied by -2 its magnitude is douled but direction is reversed
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What happen, when we multiply a vector by -2?a) ...
Understanding Vector Multiplication by -2
When you multiply a vector by a scalar, such as -2, both the direction and magnitude of the vector are affected. Let’s break down what happens:

Magnitude Change
- The magnitude of the vector is multiplied by the absolute value of the scalar.
- In this case, multiplying by -2 doubles the original magnitude.
- If the original vector had a magnitude of 'a', the new magnitude becomes '2a'.

Direction Change
- Multiplying by a negative scalar reverses the direction of the vector.
- If the original vector points in one direction, the resulting vector will point in the exact opposite direction.

Conclusion
- Putting it all together, when you multiply a vector by -2:
- The **magnitude** is **doubled** (from 'a' to '2a').
- The **direction** is **reversed** (from one direction to the opposite).
Thus, the correct answer is option **B: Direction reverses and magnitude is doubled**. This is a fundamental property of vector operations and is crucial in understanding vector behavior in physics and mathematics, especially in contexts like NEET.
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What happen, when we multiply a vector by -2?a) Direction reverses and unit changes b) Direction reverses and magnitude is doubled c) Direction remains unchanged but unit changes d) Neither direction reverses not unit changes but magnitude is doubled Correct answer is option 'B'. Can you explain this answer?
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