When the vector product of two nonzero vectors is zero What is it?

only when they are perpendicular.

Can the dot product of two nonzero vectors be 0?

Equivalently, it is the product of their magnitudes, times the cosine of the angle between them. The dot product of a vector with the zero vector is zero. Two nonzero vectors are perpendicular, or orthogonal, if and only if their dot product is equal to zero.

Is the dot product of two vectors is zero then the vectors are?

We have a special buzz-word for when the dot product is zero. Two nonzero vectors are called orthogonal if the the dot product of these vectors is zero.

What is the vector product of two non zero vectors when they are antiparallel?

Cross product of two paralle or antiparallel vectors is a null vector.

When two non zero vectors A and B are perpendicular to each other?

When to non-zero vectors a and b are perpendicular to each other their magnitude of resultant is R. When they are opposte to each other their resultant is of magnitude R/√2.

Why is the dot product 0?

Two vectors are orthogonal if the angle between them is 90 degrees. Thus, using (**) we see that the dot product of two orthogonal vectors is zero. Conversely, the only way the dot product can be zero is if the angle between the two vectors is 90 degrees (or trivially if one or both of the vectors is the zero vector).

When two non zero vectors are perpendicular to each other?

If two vectors are perpendicular to each other, then their dot product is equal to zero.

What is the vector product of two non-zero vectors when they are antiparallel?

When two non-zero vectors A and B are perpendicular to each other?

Can the dot product of two non zero vectors be zero?

The dot product of two non zero vectors can only be zero when they are perpendicular to each other and in such a case their cross product becomes maximum or in other words their cross product is equal to the product of their magnitudes. If the dot product is 0 that means they are perpendicular (90 degree angle).

When are two non-zero vectors orthogonal?

Two non-zero vectors are said to be orthogonal when (if and only if) their dot product is zero. Ok. But why did we define the orthogonality this way? The dot product of two vectors is defined algebraically: Yet, there is also a geometric definition of the dot product:

What is the magnitude of the cross product of normalized vectors?

If their magnitude is non-zero, then the magnitude of their cross product vector is the magnitude of the cross product of the normalized vectors times their magnitudes, in analogy to the dot product. But really, for what it is trying to measure, the dot product being a number as opposed to being a vector is not a problem.

Is the dot product of two vectors perpendicular to their differences?

The vector sum of two forces is perpendicular to their vector differences. In that case, the forces The dot product of two vectors involves cosine of the angle between the two vectors. Given P = 3 i ^ − 4 j ^ ​ , Which of the following is perpendicular to P?