0
When will be the vector projection and vector components are same?
Wiki User
∙ 13y ago
Ans :
The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
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 is the result of multiplying vector components by a scalar?
If the scalar is > 1 the resultant vector will be larger and in the same direction. = 1 the resultant vector will be the same as the original vector. between 0 and 1 the resultant vector will be smaller and in the same direction. = 0 the resultant vector will be null. If the scalar is less than 0, then the pattern will be the same as above except that the direction of the resultant will be reversed.
What is resolution of vector?
decomposition of a vector into its components is called resolution of vector
How do you calculate the projection of a vector onto another vector?
If A and B are two vectors, the projection (C) of A on B is the vector that has the same slope as B with the length:To calculate C use the following property of the dot product:Using the above equation:Multiply and divide by | B | at the same time:In the resulting fraction, the top term is the same as the dot product, hence:To find the length of | C | with an unknown θ, and unknown direction, multiply it with the unit vector B:giving the final formula:taken from: http://en.wikipedia.org/wiki/Vector_projection
The components of a vector will be the same no matter what coordinate system is used to express that vector?
No. The components of a vector will change based on what coordinate system is used to express that vector.
Do the vector components double if the vector doubles with the same direction?
Yes.
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
The components of a vector or what?
The components of a vector are magnitude and direction.
What are the components of a vector?
The components of a vector are magnitude and direction.
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
What are the projections of a vector along the axes of a coordinate system?
A tangent of the vector is the projection of a vector along the axes of a coordinate system.
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 is the result of multiplying vector components by a scalar?
If the scalar is > 1 the resultant vector will be larger and in the same direction. = 1 the resultant vector will be the same as the original vector. between 0 and 1 the resultant vector will be smaller and in the same direction. = 0 the resultant vector will be null. If the scalar is less than 0, then the pattern will be the same as above except that the direction of the resultant will be reversed.
What are vector components?
prrpendicular projections of a vector called component of vector
What is resolution of vector?
decomposition of a vector into its components is called resolution of vector
How do you calculate the projection of a vector onto another vector?
If A and B are two vectors, the projection (C) of A on B is the vector that has the same slope as B with the length:To calculate C use the following property of the dot product:Using the above equation:Multiply and divide by | B | at the same time:In the resulting fraction, the top term is the same as the dot product, hence:To find the length of | C | with an unknown θ, and unknown direction, multiply it with the unit vector B:giving the final formula:taken from: http://en.wikipedia.org/wiki/Vector_projection
