Multiplying or dividing vectors by scalars results in
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Multiplying or dividing vectors by scalars results in vector only.
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Multiplying vectors by scalars can accomplish two things changing the length and/or reversing the direction of the vector.
- First, we will amendment the magnitude or length of the vector. If you have got 5 vectors that every have a length of 1 meter, you'll write this as a multiplication.
- 5×1mx = 5mx If you multiply by variety larger than one, the vector can become larger. If you multiply by variety but one, the vector can become shorter. Division is handled identical means.
Multiplying Vectors by Scalars to Reverse Direction
- If you multiply a vector by negative one, the length stays identical, however the direction is reversed.
- If you multiply a vector by a negative variety aside from one, you reverse its direction and alter its length.
- You can think about this vector as inform within the negative direction.
- When a vector is increased by a scalar amount, the magnitude of the vector changes in proportion to the scalar magnitude, however the direction of the vector stays identical.
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