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Q: How do you determine that two vectors are perpendicular?
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Is the sum and difference of two perpendicular vectors have same lengyhs and also perpendicular to each other?

Yes, the sum of two perpendicular vectors has the same length as the original vectors, and they are also perpendicular to each other. However, the difference of two perpendicular vectors may not have the same length as the original vectors, but they will still be perpendicular to each other.


When sum and difference vector of two vectors are perpendicular .are the vectors too perpendicular?

Yes.


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.


Dot product of two perpendicular vectors?

Zero.


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.


What is the dot product of two perpendicular vectors?

zero is the answer


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

If two vectors are perpendicular to each other, their dot product is zero. This means that the resultant of the two vectors is the magnitude of one of the vectors, as the angle between them is 90 degrees, resulting in a right triangle.


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


How do you determine that two vectors are orthogonal?

'Orthogonal' just means 'perpendicular'. You can establish that if neither vector has a component in the direction of the other one, or the sum of the squares of their magnitudes is equal to the square of the magnitude of their sum. If you have the algebraic equations for the vectors in space or on a graph, then they're perpendicular if their slopes are negative reciprocals.


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.


A vedtor which is perpendicular to every vector?

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


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.