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Which one of the following operations is valid?
- a)Vector multiplied by scalar
- b)Vector added to scalar
- c)Vector subtracted from scalar
- d)Vector divided by vector
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which one of the following operations is valid?a)Vector multiplied by ...
Only operations valid for vector with scalars are multiplication and division. A vector can be multiplied or divided by a scalar. Other operations like addition and subtraction are not valid for vectors with scalars.
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Which one of the following operations is valid?a)Vector multiplied by ...
Vector multiplied by scalar
Vectors can be multiplied by scalars, which results in a new vector. This operation involves multiplying each component of the vector by the scalar. The resulting vector has the same direction as the original vector but its magnitude is scaled by the scalar. This operation is commonly used in physics and mathematics to scale vectors by a certain factor.
For example, if we have a vector v = (2, 4, 6) and we multiply it by a scalar k = 3, the resulting vector would be kv = (2*3, 4*3, 6*3) = (6, 12, 18).
This operation is valid and commonly used in various applications such as physics, engineering, and computer graphics. It allows us to scale vectors to represent different quantities or magnitudes.
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Which one of the following operations is valid?a)Vector multiplied by scalarb)Vector added to scalarc)Vector subtracted from scalard)Vector divided by vectorCorrect answer is option 'A'. Can you explain this answer?
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