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How do you find the normal vector of a ball or sphere?
The normal vector to the surface is a radius at the point of interest.
What has the author Jean Schmets written?
Jean Schmets has written: 'Spaces of vector-valued continuous functions' -- subject(s): Continuous Functions, Locally convex spaces, Vector valued functions
What is gradient of a vector field?
It is the rate of change in the vector for a unit change in the direction under consideration. It may be calculated as the derivative of the vector in the relevant direction.
Is a vector necessarily changed if it is rotated through a angle?
yes vector change with change in magnitude or direction
What is the quantities of a vector?
The square of a vector quantity is the vector magnitude times itself without a change in the orientation.
How do you find a normal vector?
A normal vector is a vector that is perpendicular or orthogonal to another vector. That means the angle between them is 90 degrees which also means their dot product if zero. I will denote (a,b) to mean the vector from (0,0) to (a,b) So let' look at the case of a vector in R2 first. To make it general, call the vector, V=(a,b) and to find a vector perpendicular to v, i.e a normal vector, which we call (c,d) we need ac+bd=0 So say (a,b)=(1,0), then (c,d) could equal (0,1) since their dot product is 0 Now say (a,b)=(1,1) we need c=-d so there are an infinite number of vectors that work, say (2,-2) In fact when we had (1,0) we could have pick the vector (0,100) and it is also normal So there is always an infinite number of vectors normal to any other vector. We use the term normal because the vector is perpendicular to a surface. so now we could find a vector in Rn normal to any other. There is another way to do this using the cross product. Given two vectors in a plane, their cross product is a vector normal to that plane. Which one to use? Depends on the context and sometimes both can be used!
What has the author Ice Risteski written?
Ice Risteski has written: 'Complex vector functional equations' -- subject(s): Functional equations, Vector fields, Vector valued functions
What is meant by the phrase normal to the surface?
Normal to the surface is a vector which is perpendicular to that surface
What is a vector which is orthogonal to the other vectors and is coplanar with the other vectors called?
In a plane, each vector has only one orthogonal vector (well, two, if you count the negative of one of them). Are you sure you don't mean the normal vector which is orthogonal but outside the plane (in fact, orthogonal to the plane itself)?
What are the tangential and normal components of acceleration?
Well if you are familiar with calculus the projection of acceleration vector a(t)on to the Tangent unit vector T(t), that is tangential acceleration. While the projection of acceleration vector a(t) on to the normal vector is the normal acceleration vector. Therefore we know that acceleration is on the same plane as T(t) and N(t). So component of acceleration for tangent vector is (v dot a)/ magnitude of v component of acceleration for normal vector is sqrt((magnitude of acceleration)^2 - (component of acceleration for tangent vector)^2) sorry i can't explain it to you more cause I don't have mathematical symbols to work with
What is the square of a vector quantity?
The square of a vector quantity is the vector magnitude times itself without a change in the orientation.
What has the author Vaithilingam Jeyakumar written?
Vaithilingam Jeyakumar has written: 'Nonsmooth vector functions and continuous optimization' -- subject(s): Nonsmooth optimization, Mathematical optimization, Vektorfunktion, Vector valued functions, Nichtglatte Optimierung
