$|\vec{A} \times \vec{B}|=\frac{A B}{2}$ $\Rightarrow \mathrm{AB} \sin \theta=\frac{\mathrm{AB}}{2} \Rightarrow \sin \theta=\frac{1}{2} \Rightarrow

$|\vec{A} \times \vec{B}|=\frac{A B}{2}$ $\Rightarrow \mathrm{AB} \sin \theta=\frac{\mathrm{AB}}{2} \Rightarrow \sin \theta=\frac{1}{2} \Rightarrow \theta=30^{\circ}=\frac{\pi}{6}$

English

3-1.VectorsMedium

What is the angle between $\vec A\,\,$ and $\vec B\,\,$ if $\vec A\,\,$ and $\vec B\,\,$ are the adjacent sides of a parallelogran drawn from a common point and the area of the parallelogram is $\frac {AB}{2}$

A
$\frac {\pi }{3}$
B
$\frac {\pi }{6}$
C
$\frac {\pi }{2}$
D
$\pi $

Std 11
Physics

Find unit vector perpendicular to $\vec A$ and $\vec B$ where $\vec A = \hat i - 2\hat j + \hat k$ and $\vec B = \hat i + 2\hat j$

Medium

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What is the product of two vectors if they are parallel or antiparallel ?

Easy

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The angle between $(\overrightarrow A - \overrightarrow B )$ and $(\overrightarrow A \times \overrightarrow B )$ is $(\overrightarrow{ A } \neq \overrightarrow{ B })$

Easy

[NEET 2017]

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For component of a vector $A =(3 \hat{ i }+4 \hat{ j }-5 \hat{ k })$, match the following colum.

Colum $I$ Colum $II$

$(A)$ $x-$axis $(p)$ $5\,unit$

$(B)$ Along another vector $(2 \hat{ i }+\hat{ j }+2 \hat{ k })$ $(q)$ $4\,unit$

$(C)$ Along $(6 \hat{ i }+8 \hat{ j }-10 \hat{ k })$ $(r)$ $0$

$(D)$ Along another vector $(-3 \hat{ i }-4 \hat{ j }+5 \hat{ k })$ $(s)$ None

Medium

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The area of the parallelogram represented by the vectors $\overrightarrow A = 2\hat i + 3\hat j$ and $\overrightarrow B = \hat i + 4\hat j$ is.......$units$

Easy

View Solution

JEE Main

Colum $I$	Colum $II$
$(A)$ $x-$axis	$(p)$ $5\,unit$
$(B)$ Along another vector $(2 \hat{ i }+\hat{ j }+2 \hat{ k })$	$(q)$ $4\,unit$
$(C)$ Along $(6 \hat{ i }+8 \hat{ j }-10 \hat{ k })$	$(r)$ $0$
$(D)$ Along another vector $(-3 \hat{ i }-4 \hat{ j }+5 \hat{ k })$	$(s)$ None

What is the angle between $\vec A\,\,$ and $\vec B\,\,$ if $\vec A\,\,$ and $\vec B\,\,$ are the adjacent sides of a parallelogran drawn from a common point and the area of the parallelogram is $\frac {AB}{2}$

Similar Questions

Find unit vector perpendicular to $\vec A$ and $\vec B$ where $\vec A = \hat i - 2\hat j + \hat k$ and $\vec B = \hat i + 2\hat j$

What is the product of two vectors if they are parallel or antiparallel ?

The angle between $(\overrightarrow A - \overrightarrow B )$ and $(\overrightarrow A \times \overrightarrow B )$ is $(\overrightarrow{ A } \neq \overrightarrow{ B })$

The area of the parallelogram represented by the vectors $\overrightarrow A = 2\hat i + 3\hat j$ and $\overrightarrow B = \hat i + 4\hat j$ is.......$units$