Define the vector product of two vectors.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The vector product (or cross product) of two vectors $\vec{A}$ and $\vec{B}$ is defined as a vector $\vec{C}$ such that $\vec{C} = \vec{A} \times \vec{B} = AB \sin \theta \hat{n}$.
Here,$A$ and $B$ are the magnitudes of vectors $\vec{A}$ and $\vec{B}$ respectively,$\theta$ is the angle between the two vectors $(0^\circ \le \theta \le 180^\circ)$,and $\hat{n}$ is a unit vector perpendicular to the plane containing both $\vec{A}$ and $\vec{B}$.
The direction of $\hat{n}$ is determined by the right-hand rule.

Explore More

Similar Questions

The angle between the vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ is $\theta$. The value of the triple product $\overrightarrow{A} \cdot (\overrightarrow{B} \times \overrightarrow{A})$ is

Obtain the scalar product of unit vectors in the Cartesian coordinate system.

The projection of vector $\vec A$ on vector $\vec B$ is:

The modulus of the vector product of two vectors is $\frac{1}{\sqrt{3}}$ times their scalar product. The angle between the vectors is

If $\vec A = 2\hat i + \hat j - \hat k$,$\vec B = \hat i + 2\hat j + 3\hat k$ and $\vec C = 6\hat i - 2\hat j - 6\hat k$,then the angle between $(\vec A + \vec B)$ and $\vec C$ will be ....... $^o$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo