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.
The measurement of 12 feet up is a scalar measurement. Scalars have magnitude but no direction. In this case, the magnitude is 12 feet, indicating the distance or height, but there is no direction specified.
scalar
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
scalar
Vector
The measurement of 12 feet up is a scalar measurement. Scalars have magnitude but no direction. In this case, the magnitude is 12 feet, indicating the distance or height, but there is no direction specified.
scalar
Vector
A vector has magnitude and direction, so since it is up it is vector.
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in 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.
Scalar
scalar
scalar
The measurement of 30 minutes is a measurement of time.
vector
Vector