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What does gradient mean in math terms?
A vector having coordinate components that are the derived during the solving of a function.
What is the physical significance of null vectors?
Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector. It is important to note that we cannot take the above result to be a number, the result has to be a vector and here lies the importance of the zero or null vector. The physical meaning of can be understood from the following examples. The position vector of the origin of the coordinate axes is a zero vector. The displacement of a stationary particle from time t to time tl is zero. The displacement of a ball thrown up and received back by the thrower is a zero vector. The velocity vector of a stationary body is a zero vector. The acceleration vector of a body in uniform motion is a zero vector. When a zero vector is added to another vector , the result is the vector only. Similarly, when a zero vector is subtracted from a vector , the result is the vector . When a zero vector is multiplied by a non-zero scalar, the result is a zero vector.
Direction of vector in space is specified by?
It is an integral part of the vector and so is specified by the vector.
What is the resultant of a 3 unit vector and 4 unit vector at right angles to each other?
The multiplicative resultant is a three unit vector composed of a vector parallel to the 3 unit vector and a vector parallel to the product of the 3 unit and 4 unit vectors. R = (w4 + v4)(0 +v3) = (w40 - v4.v3) + (w4v3 + 0v4 + v4xv3) R = (0 - 0) + w4v3 + v4xv3 as v4.v3 =0 ( right angles or perpendicular)
What is the cross product of a vector itself?
0 is a cross product of a vector itself
What are the components of a vector?
The components of a vector are magnitude and direction.
What is resolution of vector?
Spliting up of vector into its rectangular components is called resolution of vector
When will be the vector projection and vector components are same?
Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .
How do vector components compare in size to the vector from which they came?
That all depends on the angles between the vector and the components. The only things you can say for sure are: -- none of the components can be greater than the size of the vector -- the sum of the squares of the components is equal to the square of the size of the vector
Can a vector have a zero magnitude if all of its components are zero?
If all the components of a vector are zero, the magnitude of the vector will always be zero.
What are vector components?
prrpendicular projections of a vector called component of vector
Is it possible for a vector to be zero if its one of the components is zero?
NO, a vector will not be zero if one of its components will be zero.
How many components can a vector have?
A vector can have as many components as you like, depending on how may dimensions it operates in.
How do you find vector components when given the vectors are parallel and the magnitude of each vector is equal to 1?
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
The process of breaking a vector into its components is sometimes called?
The process of breaking a vector into its components is sometimes called vector resolution. This involves determining the horizontal and vertical components of a vector using trigonometry or other mathematical techniques.
If all the components of a vector are equal to 1 then that vector is a unit vector?
False.
Do the vector components double if the vector doubles with the same direction?
Yes, if a vector doubles in magnitude with the same direction, then its components will also double in value. This is because the components of a vector are directly proportional to its magnitude in the same direction.
