If up is well defined - as in directly above, rather that somewhere up there, on the next storey up - it is a vector.
A scalar times a vector is a vector.
A scalar has distance but no direction. A vector has distance and direction. "12 feet up" has distance (12 feet) and direction (up), so is a vector.
Scalar
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.
Time is scalar
A scalar times a vector is a vector.
vector
A scalar has distance but no direction. A vector has distance and direction. "12 feet up" has distance (12 feet) and direction (up), so is a vector.
Yes, you can add a scalar to a vector by adding the scalar value to each component of the vector.
Scalar
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.
An earthquake is neither a scalar nor a vector. It is an event.
vector
vector
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 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
scalar