What does it mean if the product of two vectors is 0?

If the cross product of two vectors is zero it means both are parallel to each other. Answer: If the cross product of two vectors is 0, it implies that the vectors are parallel to each other. So one of the vectors would be a scalar multiple of the other one.

Why a vector into a vector is equal to zero?

The magnitude of the cross product is given by the product of the magnitudes of the two vectors times the sine of the angle between them. In either case, the sine of the angle is 0, so the magnitude of the cross product is 0, making it the zero vector.

What is the vector product of two same vectors?

The vector product of two vectors is a vector perpendicular to both of them. Its magnitude is obtained by multiplying their magnitudes by the sine of the angle between them. The direction of the vector product can be determined by the corkscrew right-hand rule.

Why is the dot product of two perpendicular vectors zero?

Generally, whenever any two vectors are perpendicular to each other their scalar product is zero because the angle between the vectors is 90◦ and cos 90◦ = 0. The scalar product of perpendicular vectors is zero.

Why is the cross product 0?

Originally Answered: why cross product is zero if two vectors are in same direction? Since both the vectors are in same direction,the angle between them is 0. Therefore,the cross product is zero.

Can two non zero vectors give zero resultant when they multiply each other?

Yes, when two non-zero vectors multiply with each other they can give zero resultant.

Is the vector product of two non zero vector is zero then the vectors must be?

If the vector product of two non-zero vectors is zero, the vectors must be parallel.

When two similar vectors are multiplied then their cross product will be?

When two vectors are multiplied with each other and the product of the vectors is also a vector quantity, then the resultant vector is called the cross product of two vectors or the vector product. The resultant vector is perpendicular to the plane containing the two given vectors.

Is orthogonal and perpendicular the same thing?

You can say two vectors are at right angles to each other, or orthogonal, or perpendicular, and it all means the same thing. Sometimes people say one vector is normal to another, and that means the same thing, too.

Can the dot product of two vectors be 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). Thus, two non-zero vectors have dot product zero if and only if they are orthogonal. Furthermore, what does it mean when the dot product equals 1?

Why is the cross product of two vectors equal to 0?

Because Cross Product= AB sin theta (where A and B are the magnitudes of the given vectors and theta is the angle between them). Since the vectors are in the same direction that means the angle between them is 0. Therefore sin theta= 0. So the cross product is also 0.

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 happens when two vectors are in the same line?

When 2 vectors are in same line they make zero degree angle with each other and as a×b= |a||b|sin (angle between vectors) , sin comes 0 so does cross product. 25 insanely cool gadgets selling out quickly in 2021.