# When two vectors are perpendicular their cross product is zero?

## When two vectors are perpendicular their cross product is zero?

The cross-vector product of the vector always equals the vector. Perpendicular is the line and that will make the angle of 900with one another line. Therefore, when two given vectors are perpendicular then their cross product is not zero but the dot product is zero.

Why a vector cross a vector is equal to zero?

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. 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.

What happens when cross product 0?

Answer: 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.

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### What is the cross product of a vector with zero?

Finally, the cross product of any vector with itself is the zero vector (a×a=0). In particular, the cross product of any standard unit vector with itself is the zero vector.

What does it mean if two vectors cross product is zero?

If two vectors have the same direction or have the exact opposite direction from each other (that is, they are not linearly independent), or if either one has zero length, then their cross product is zero. …

When is the cross product of two vectors zero?

The cross product of two vectors are zero vectors if both the vectors are parallel or opposite to each other. Conversely, if two vectors are parallel or opposite to each other, then their product is a zero vector. Two vectors have the same sense of direction.

#### What is a cross product in math?

What is a Cross Product? Cross product is a binary operation on two vectors in three-dimensional space. It results in a vector that is perpendicular to both vectors. The Vector product of two vectors, a and b, is denoted by a × b.

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What is the vector product of two vectors called?

Cross Product of Two Vectors The vector product or cross product of two vectors A and B is denoted by A × B, and its resultant vector is perpendicular to the vectors A and B.

What is the direction of cross product of a parallelogram?

The direction of the cross-product is the perpendicular [a.k.a. “normal\\ to that parallelogram, using the right-hand rule. So, with a pair of parallel vectors, its parallelogram has zero area.