Cross Product

Question

The cross product î × ĵ equals

RankGuru · Accepted Answer

1. **Cyclic Rule**: For Right-Handed Coordinate Systems:
   - $\hat{i} 	imes \hat{j} = \hat{k}$
   - $\hat{j} 	imes \hat{k} = \hat{i}$
   - $\hat{k} 	imes \hat{i} = \hat{j}$
2. **Anti-cyclical**: Reversing the order flips the sign (e.g., $\hat{j} 	imes \hat{i} = -\hat{k}$).
3. **Geometry**: The unit vector $\hat{k}$ is perpendicular to the $xy$-plane containing $\hat{i}$ and $\hat{j}$.

Rank Guru

Cross Product

Select the correct option:

Solution

🔒 Solution Hidden from View

More cross product Practice Questions

If two vectors are parallel, their cross product is

The magnitude of cross product of two vectors $a$ and $b$ is

About This Question

Solution

Cross Product

Select the correct option:

Solution

🔒 Solution Hidden from View

More cross product Practice Questions

If two vectors are parallel, their cross product is

The magnitude of cross product of two vectors a and b is

About This Question

Solution

The magnitude of cross product of two vectors $a$ and $b$ is