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A vector represented in Cartesian plane. For eg velocity of particle moving on road taking into account length and breadth of road. An ant moving on a floo
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WHAT POSITION VECTOR?
That's a vector that describes the position of an object.
Is the position scalar or vector quantity?
Vector-it has both magnitude and direction
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.
Vector method to find out the acceleration of a particle is -wwrwhere angular velocity is w?
1) The position vector of a particle is r= (a cosώt) i+ (a sinώt) j. The velocity of the particle is and find the parallel position vector.
Is scalar quantiy is added with vector quantity?
A scalar quantity added to a vector quantity is a complex quantity. An example is a complex number z = a + ib, a is the scalar and ib is the vector quantity.If the vector quantity is 3 dimensional, ib + jc + kd, then the scalar and vector forms a quaternion quantity.
In 2 dimensional kinematics can the x component of a vector be great than the vector itself?
No.
Which describes a grid motion transformation in geometry?
In 2 dimensional space it is a translation vector which is a 2x1 column vector.
What does the modulus of a vector equal?
The modulus of a vector is its absolute value. It is the [positive] size or magnitude of the vector, ignoring its direction.In two dimensional space, and using Pythagoras,the modulus of the vector (x,y) is sqrt(x^2 + y^2)In 3-dimensional space, the modulus of the vector (x, y, z) is sqrt(x^2 + y^2 + z^2)The concept can be extended to higher dimensions analogously.
Is position scalar or vector?
Position is a vector quantity.
WHAT POSITION VECTOR?
That's a vector that describes the position of an object.
What is position vector in physics?
A position vector tells us the position of an object with reference to the origin
How a vector represented?
A vector is represented graphically as an arrow. The direction indicates the direction, the length is proportional to the magnitude of the vector. Note that it is difficult to accurately represent vectors of 3 or more dimensions on a 2-dimensional sheet of paper.
Can a vector have a component equal to zero and still have a nonzero magnitude?
Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1 A vector only has zero magnitude when all its components are 0.
Is position a vector quantities?
Yes, it is a vector quantity.
What is the difference between zero and vector zero?
The zero vector occurs in any dimensional space and acts as the vector additive identity element. It in one dimensional space it can be <0>, and in two dimensional space it would be<0,0>, and in n- dimensional space it would be <0,0,0,0,0,....n of these> The number 0 is a scalar. It is the additive identity for scalars. The zero vector has length zero. Scalars don't really have length. ( they can represent length of course, such as the norm of a vector) We can look at the distance from the origin, but then aren't we thinking of them as vectors? So the zero vector, even <0>, tells us something about direction since it is a vector and the zero scalar does not. Now I think and example will help. Add the vectors <2,2> and <-2,-2> and you have the zero vector. That is because we are adding two vectors of the same magnitude that point in opposite direction. The zero vector and be considered to point in any direction. So in summary we have to state the obvious, the zero vector is a vector and the number zero is a scalar.
What is vector in math?
Simply put, a vector is 2 dimensional. Think of speed - it is only one dimensional. It is not a vector, it is a scalar. It is measured in a scale, most commonly noticed when inside a vehicle. You are travelling at 100km/h (60mph) Vectors are 2 dimensional, they have a magnitude and a direction. Think of velocity, as an arrow - imagine you are travelling at 60 mph in a northerly direction, your arrow would be pointing to the notth, with a magnitude of 60mph, If you were travelling at 60mph in a southerly direction, your velocity vector would be pointing towards the south, the exact opposite of your vector if you were travelling in a northerly direction. However the speed in these two scenario's, speed not being a vector, remains exactly the same, 60mph.
Is the position scalar or vector quantity?
Vector-it has both magnitude and direction
