(B) The cross product of two vectors is defined as $\vec{A} \times \vec{B} = |A||B| \sin \theta \hat{n}$,where $\theta$ is the angle between the vecto

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(B) The cross product of two vectors is defined as $\vec{A} \times \vec{B} = |A||B| \sin \theta \hat{n}$,where $\theta$ is the angle between the vectors.Given $\vec{A} \times \vec{B} = 0$,it implies that $|A||B| \sin \theta = 0$.Since the vectors are non-zero,$\sin \theta = 0$,which means $\theta = 0^\circ$ or $\theta = 180^\circ$.Therefore,the vectors are parallel to each other.

Class 11 Physics 3-1.Vectors Multiplication of Vectors

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If for two vectors $\vec{A}$ and $\vec{B}$,$\vec{A} \times \vec{B} = 0$,then the vectors:

A
Are perpendicular to each other
B
Are parallel to each other
C
Act at an angle of $60^\circ$
D
Act at an angle of $30^\circ$

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3-1.Vectors

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Multiplication of Vectors

Find the angle between the vectors $A=2 \hat{i}+4 \hat{j}+4 \hat{k}$ and $B=4 \hat{i}+2 \hat{j}-4 \hat{k}$. (in $^{\circ}$)

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The angle between the vectors $(\hat{i} + \hat{j})$ and $(\hat{j} + \hat{k})$ is ....... $^\circ$.

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$A$ vector $\vec{A}$ points towards North and vector $\vec{B}$ points upwards,then $\vec{A} \times \vec{B}$ points towards ...........

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Vector $\vec{F_1}$ is in the direction of the positive $X$-axis. If its cross product with another vector $\vec{F_2}$ is zero,what could be the vector $\vec{F_2}$?

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Given two vectors $\vec{A} = 3\hat{i} + \hat{j}$ and $\vec{B} = \hat{j} + 2\hat{k}$. Find the unit vector perpendicular to both $\vec{A}$ and $\vec{B}$.

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If for two vectors $\vec{A}$ and $\vec{B}$,$\vec{A} \times \vec{B} = 0$,then the vectors:

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Find the angle between the vectors $A=2 \hat{i}+4 \hat{j}+4 \hat{k}$ and $B=4 \hat{i}+2 \hat{j}-4 \hat{k}$. (in $^{\circ}$)

The angle between the vectors $(\hat{i} + \hat{j})$ and $(\hat{j} + \hat{k})$ is ....... $^\circ$.

$A$ vector $\vec{A}$ points towards North and vector $\vec{B}$ points upwards,then $\vec{A} \times \vec{B}$ points towards ...........

Vector $\vec{F_1}$ is in the direction of the positive $X$-axis. If its cross product with another vector $\vec{F_2}$ is zero,what could be the vector $\vec{F_2}$?

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