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Does addition of two vectors give you scalar of vector quantity?
Wiki User
∙ 14y ago
Vectors have the magnitude and direction, scalars have only magnitude. Addition of vectors A and B will produce a vector C. Such that C=A+B. C is a vector because it will have magnitude and the direction.
For an example consider a moving sidewalk such as those in the airports. If such a sidewalk is moving South at 2 miles per hour, its velocity is vector A. If a person walking on that sidewalk at 3 miles per hour also South, that persons velocity is vector B. However, that person will be moving at 2+3=5 miles per hour in relation to a stationary observer or in other words with the velocity of vector C.
Further, consider A+B1=C1.
If that person is walking North, or the opposite direction of treadmill's (if he or she got on the wrong sidewalk :) ), that person's velocity will be -3 miles per hour that will be vector B1. Thus in relation to a stationary observer that person is moving 2+(-3)=(-1) miles per hour towards South, the velocity of vector C1. That is the person is moving North at 1 mile per hour.
Wiki User
∙ 14y ago
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Is it possible to multiply a vector quantity to a scalar quantity?
The product of scalar and vector quantity is scalar.
Do vectors have direction?
Yes, vectors must have the direction. Without direction, it is simply a scalar quantity.
What does it mean to say that momentum is a vector quantity and that energy is a scalar quantity?
In a vector quantity, it is important to specify a direction. In a scalar quantity, it isn't. Vectors (such as force) have a magnitude (size) and a direction (such as North). Scalars have only a magnitude.
Is resultant a vector quantity?
The resultant of two vectors cannot be a scalar quantity.
Why can't you add a vector quantity to a scalar quantity?
You can add a vector quantity to a scalar quantity. A complex number is just such an addition, z= a + bi. the first term 'a' is a scalar and the second term 'bi' is a vector quantity. The complex quantity z is the sum of a scalar and a vector. z is a different quantity than 'a' or 'bi', it contains both a scalar and a vector z=(a,bi). The Universe is made up of such additions called Quaternions: Q= a + bi + cj + kd , 'a' is a scalar and i, j and k are vectors making bi + cj +dk a three dimensional vector. Quaternions are four dimensional, one scalar dimension and three vector dimensions. Complex Numbers, z, a 2 dimensional number, are a subset of Quaternions.
Is it possible to multiply a vector quantity to a scalar quantity?
The product of scalar and vector quantity is scalar.
Do vectors have direction?
Yes, vectors must have the direction. Without direction, it is simply a scalar quantity.
What does it mean to say that momentum is a vector quantity and that energy is a scalar quantity?
In a vector quantity, it is important to specify a direction. In a scalar quantity, it isn't. Vectors (such as force) have a magnitude (size) and a direction (such as North). Scalars have only a magnitude.
Is resultant a vector quantity?
The resultant of two vectors cannot be a scalar quantity.
Why isn't the sum of two vectors a scalar?
A vector has direction, where as a scalar does not. When you add two vectors, it is like you are moving one vector to the end of the other vector, and closing off the triangle with a vector for the third side. That third vector is the addition of the first two vectors. The new vector points in a specific direction, so it cannot be a scalar.
Why can't you add a vector quantity to a scalar quantity?
You can add a vector quantity to a scalar quantity. A complex number is just such an addition, z= a + bi. the first term 'a' is a scalar and the second term 'bi' is a vector quantity. The complex quantity z is the sum of a scalar and a vector. z is a different quantity than 'a' or 'bi', it contains both a scalar and a vector z=(a,bi). The Universe is made up of such additions called Quaternions: Q= a + bi + cj + kd , 'a' is a scalar and i, j and k are vectors making bi + cj +dk a three dimensional vector. Quaternions are four dimensional, one scalar dimension and three vector dimensions. Complex Numbers, z, a 2 dimensional number, are a subset of Quaternions.
Velocity is a measure of both an object's speed and its what?
Direction. Velocity is a vector quantity. Vectors have a scalar size and a vector direction.
What are the major concepts of a scalar and vector quantity in physics?
That vectors are just scalars WITH a direction. (for example 50 miles is a scalar distance, but 50 miles north is a vector)
Is torque is a scalar or a vector quantity?
Since torque is a force, and as such has a direction, it is a vector.
Why the product of two vectors is sometime scalar and sometime vector?
Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
Is Moment Arm a scalar or vector quantity?
vector
Is the distance a vector or scalar quantity?
scalar direction is a vector quantity
