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No, a vector quantity has both magnitude and direction, while a scalar quantity has only magnitude. Examples of vector quantities include force and velocity, which need both the size and direction to describe them accurately. Scalars like mass or temperature only have a magnitude.
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Is a vector quantity is always the same as a scalar quantity?
No, a vector quantity and a scalar quantity are different. A vector has both magnitude and direction, while a scalar has only magnitude. Velocity and force are examples of vector quantities, while speed and temperature are examples of scalar quantities.
Can you multiply a vector and a scalar?
Yes, you can multiply a vector by a scalar. The scalar will multiply each component of the vector by the same value, resulting in a new vector with each component scaled by that value.
Is vector quantity always the same as a scalar quantity true or false?
False. Vector quantities have both magnitude and direction (such as velocity and force) while scalar quantities only have magnitude (such as speed and mass).
Is it possible to multiply a vector quantity to a scalar quantity?
The product of scalar and vector quantity is scalar.
Why is it impossible to add a scalar to a vector?
It is not impossible to add a scalar to a vector. e.g. e^ix = cos(x) + isin(x) when x is 0 the answer is a scalar, when x=90 degrees the answer is a vector, when x is not a multiple of 90 degrees the answer is the sum of a scalar and a vector. So it is only impossible to add a scalar to a vector when x is a multiple of 90 degrees, all other angles add a scalar to a vector.
Is a vector quantity is always the same as a scalar quantity?
No, a vector quantity and a scalar quantity are different. A vector has both magnitude and direction, while a scalar has only magnitude. Velocity and force are examples of vector quantities, while speed and temperature are examples of scalar quantities.
Can you multiply a vector and a scalar?
Yes, you can multiply a vector by a scalar. The scalar will multiply each component of the vector by the same value, resulting in a new vector with each component scaled by that value.
When a vector is multiplied by a scalar physical quantitythen what will be dimensions of resulting vector?
The same as the original vector. The scalar will change the numbers, but not the dimensions.
Is vector quantity always the same as a scalar quantity true or false?
False. Vector quantities have both magnitude and direction (such as velocity and force) while scalar quantities only have magnitude (such as speed and mass).
What is a scalar multiplied by a vector?
A scalar multiplied by a vector involves multiplying each component of the vector by the scalar value. This operation scales the vector's magnitude while retaining its direction if the scalar is positive, or reversing its direction if the scalar is negative. The result is a new vector that has the same direction as the original (or the opposite direction if the scalar is negative) but a different magnitude.
What is the result of multiplying vector components by a scalar?
If the scalar is > 1 the resultant vector will be larger and in the same direction. = 1 the resultant vector will be the same as the original vector. between 0 and 1 the resultant vector will be smaller and in the same direction. = 0 the resultant vector will be null. If the scalar is less than 0, then the pattern will be the same as above except that the direction of the resultant will be reversed.
Is it possible to multiply a vector quantity to a scalar quantity?
The product of scalar and vector quantity is scalar.
Why is it impossible to add a scalar to a vector?
It is not impossible to add a scalar to a vector. e.g. e^ix = cos(x) + isin(x) when x is 0 the answer is a scalar, when x=90 degrees the answer is a vector, when x is not a multiple of 90 degrees the answer is the sum of a scalar and a vector. So it is only impossible to add a scalar to a vector when x is a multiple of 90 degrees, all other angles add a scalar to a vector.
What is scalar addition?
Scalar addition involves adding a scalar quantity to each element of a vector. This is done by adding the scalar to the magnitude of the vector without changing its direction. The result is a new vector that represents the original vector displaced by the magnitude of the scalar in the same direction.
Is momentum a vector?
Momentum is a vector quantity because the definition of momentum is that it is an object's mass multiplied by velocity. Velocity is a vector quantity that has direction and the mass is scalar. When you multiply a vector by a scalar, it will result in a vector quantity.
What is the product of vector and scalar?
The product of a vector and a scalar is a new vector whose magnitude is the product of the magnitude of the original vector and the scalar, and whose direction remains the same as the original vector if the scalar is positive or in the opposite direction if the scalar is negative.
Can Scalar and vector quantities be added by the same method?
No, scalar can be added together directly, whereas vectors can only add their separate components together.
