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What is a scalar times a vector?
A scalar times a vector is a vector.
Is time a scalar or a vector?
Scalar
What is time vector or scalar?
Time is scalar
Is 55 mph a scalar or vector?
No it is not a vector
A vector of components ( and minus3 and minus2) is multiplied by the scalar value of -6. What is the magnitude and direction of the resultant vector?
To find the resultant vector when multiplying the vector components (3, -3, -2) by the scalar -6, we perform the scalar multiplication: (-6)(3, -3, -2) = (-18, 18, 12). The magnitude can be calculated using the formula ( \sqrt{(-18)^2 + (18)^2 + (12)^2} ), which equals ( \sqrt{1080} ) or approximately 32.8. The direction of the resultant vector is opposite to the original vector due to the negative scalar, meaning it points in the direction of the vector (-3, 3, 2).
How will you multiply a vector by positive number?
A positive scalar multiplied by a vector, will only change the vector's magnitude, not the direction. A negative scalar multiplied by the vector will reverse the direction by 180°.
Can vector quantity be divided and multiplied?
Vector quantities can be added and subtracted using vector addition, but they cannot be divided like scalar quantities. However, vectors can be multiplied in two ways: by scalar multiplication, where a scalar quantity is multiplied by the vector to change its magnitude, or by vector multiplication, which includes dot product and cross product operations that result in a scalar or vector output.
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.
Multiplying or dividing vectors by scalars results in what?
When multiplying a vector by a scalar, each component of the vector is multiplied by the scalar. This operation changes the magnitude of the vector but not its direction. Similarly, dividing a vector by a scalar involves dividing each component of the vector by the scalar.
Can a scalar quantity be the product of 2 vector quantities?
No, a scalar quantity cannot be the product of two vector quantities. Scalar quantities have only magnitude, while vector quantities have both magnitude and direction. When two vectors are multiplied, the result is a vector, not a scalar.
What is the significance of the divergence of a scalar times a vector in the context of vector calculus?
The significance of the divergence of a scalar times a vector in vector calculus is that it simplifies to the scalar multiplied by the divergence of the vector. This property is important in understanding how scalar fields interact with vector fields and helps in analyzing the flow and behavior of physical quantities in various fields of science and engineering.
When does a vector remain unchanged?
A vector remains unchanged when it is multiplied by a scalar of 1. This is because multiplying a vector by a scalar of 1 effectively scales the vector without changing its direction.
Is the cross product vector or scalar?
The cross product is a vector. It results in a new vector that is perpendicular to the two original vectors being multiplied.
What is a scalar times a vector?
A scalar times a vector is a vector.
Is inertia is a scalar or vector?
vector
What is it called when a scalar and a vector are multiplied together?
When a scalar quantity(if it has positive magnitude) is multiplies by a vector quantity the product is another vector quantity with the magnitude as the product of two vectors and the direction and dimensions same as the multiplied vector quantity e.g. MOMENTUM
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.
