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Yes.
Zero.
The condition is the two vectors are perpendicular to each other.
zero is the answer
yes ithape ens only if the two vectors are perpendicular to eachothe we can equate their squares
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.
Yes.
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.
Zero.
The condition is the two vectors are perpendicular to each other.
zero is the answer
Oh, isn't that just lovely? When two vectors are perpendicular to each other, it means they form a right angle. The resultant of these vectors will be the sum of the two vectors, creating a new vector that represents their combined effect. Just like when we blend different colors on our palette to create a beautiful painting, these vectors come together to create something special.
yes ithape ens only if the two vectors are perpendicular to eachothe we can equate their squares
'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.
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.
The zero vector is not perpendicular to all vectors, but it is orthogonal to all 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.