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Q: What are physical examples of vectors which are perpendicular to their derivatives?
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When sum and difference vector of two vectors are perpendicular .are the vectors too perpendicular?

Yes.


Is the sum and difference of two perpendicular vectors have same lengyhs and also perpendicular to each other?

The sum and difference of two perpendicular vectors are the same in length, but are not perpendicular unless the vectors are the same size. If they are the same size they are perpendicular, other wise they are not perpendicular.


A vedtor which is perpendicular to every vector?

The zero vector is not perpendicular to all vectors, but it is orthogonal to all vectors.


When are vectors said to be perpendicular?

Perpendicular means that the angle between the two vectors is 90 degrees - a right angle. If you have the vectors as components, just take the dot product - if the dot product is zero, that means either that the vectors are perpendicular, or that one of the vectors has a magnitude of zero.


What is the difference between orthogonal and orthonormal vectors?

All vectors that are perpendicular (their dot product is zero) are orthogonal vectors.Orthonormal vectors are orthogonal unit vectors. Vectors are only orthonormal if they are both perpendicular have have a length of 1.


If two vectors are perpendicular to each other then the resultant what?

The direction after adding two equal and opposite vectors is the "Direction" of the two vectors. V=aDirection and Opposite V = OV = - aDirection. Adding the two gives, V + OV= (a-a)Direction = 0 Direction.


Dot product of two perpendicular vectors?

Zero.


Real life example of two perpendicular vectors?

Dropping a bullet and shooting a bullet at the same time. They will touch the ground at the same time because they are perpendicular vectors.


What is the dot product of two perpendicular vectors?

zero is the answer


What is the condition when two vectors are addition and subtraction are same magnitude?

The condition is the two vectors are perpendicular to each other.


Show that the sum and difference of two prependicular vectors of equal length are also perpendicular of same length?

yes ithape ens only if the two vectors are perpendicular to eachothe we can equate their squares


What is the dot product of two perpendicular vectors vector a and vector b respectively?

The dot product of two perpendicular vectors is 0. a⋅b = |ab|cos θ where: |a| = length of vector a |b| = length of vector b θ = the angle between the vectors. If the vectors are perpendicular, θ = π/2 radians → cos θ = cos(π/2) = 0 → a⋅b = |a| × |b| × 0 = 0 ----------------------------------------------------------------------------- The dot product can also be calculated for vectors of n dimensions as the sum of the products of the corresponding elements: a = (a1, a2, ..., an) b = (b1, b2, ..., bn) a⋅b = Σ ar × br for r = 1, 2 , ..., n With perpendicular vectors this sum is zero,