# Do you do cross product first or dot product?

### Table of Contents

- Do you do cross product first or dot product?
- Which vector goes first in cross product?
- How do you know the direction of the cross product?
- Does the cross product commute?
- What does cross product tell you?
- Why is cross product Anticommutative?
- What does it mean if cross product is zero?
- How to calculate the cross product of a vector?
- When to use the dot product or the cross product?
- Which is the direction of the cross product?
- Can a ⋅ b × c be written after a cross product?

### Do you do cross product first or dot product?

In short, **yes**. Remember that based on the definitions: (1) the dot product of two vectors returns a scalar, and (2) the cross product of two vectors returns a vector.

### Which vector goes first in cross product?

The cross product follows the **right-hand rule** By convention, we choose the first because it conforms to the right-hand rule.

### How do you know the direction of the cross product?

1:443:42How to determine the direction of a cross product - YouTubeYouTubeStart of suggested clipEnd of suggested clipProduct here that resultant vector is always always always perpendicular. To the two constituentMoreProduct here that resultant vector is always always always perpendicular. To the two constituent vectors that went into the problem. So try to remember that that's just the way the cross.

### Does the cross product commute?

The **cross product does not follow** the commutative property because the direction of the unit vector becomes opposite when the vector product occurs in a reverse manner. Hence, both the cross products of both the vectors in both the possible ways.

### What does cross product tell you?

The cross product a × b is defined as a **vector c that is perpendicular (orthogonal) to both a and b**, with a direction given by the right-hand rule and a magnitude equal to the area of the parallelogram that the vectors span.

### Why is cross product Anticommutative?

In fact, it is anticommutative, meaning the statement below. The anticommutative property of the cross product demonstrates that and differ only by a sign. These **vectors have the same magnitude but point in opposite directions**. ... The direction of the cross product is given by the right-hand rule.

### What does it mean if 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. ...

### How to calculate the cross product of a vector?

We can calculate the Cross Product this way: 1 a | is the magnitude (length) of vector a 2 | b | is the magnitude (length) of vector b 3 θ is the angle between a and b 4 n is the unit vector at right angles to both a and b

### When to use the dot product or the cross product?

1 Answer 1. The cross product would have to occur first. If not, then you can not use the operation because after you do the dot product, you would have a scalar and a vector, not two vectors.

### Which is the direction of the cross product?

The cross product could point in the completely opposite direction and still be at right angles to the two other vectors, so we have the: With your right-hand, point your index finger along vector a, and point your middle finger along vector b: the cross product goes in the direction of your thumb. Dot Product.

### Can a ⋅ b × c be written after a cross product?

I would however say that A ⋅ B × C is simply something devoided of meaning and shouldn't be written. – Git Gud Nov 11 '14 at 18:01 The cross product would have to occur first. If not, then you can not use the operation because after you do the dot product, you would have a scalar and a vector, not two vectors. You are correct in thinking so!