Given : vec A, = ,2hat{i}, + ,phat{j}, + qhat{k} and vec B, = ,5hat{i}, + ,7hat{j}, + 3h

English

Gujarati

Hindi

3-1.Vectors

medium

Given : $\vec A\, = \,2\hat i\, + \,p\hat j\, + q\hat k$ and $\vec B\, = \,5\hat i\, + \,7\hat j\, + 3\hat k,$ if $\vec A\,||\,\vec B,$ then the values of $p$ and $q$ are, respectively

A$\frac {14}{5}$ and $\frac {6}{5}$

B$\frac {14}{3}$ and $\frac {6}{5}$

C$\frac {6}{5}$ and $\frac {1}{3}$

D$\frac {3}{4}$ and $\frac {1}{4}$

Solution

$\frac{2}{5}=\frac{p}{7}=\frac{q}{3}$
$\Rightarrow P=14 / 5 \, \&\, q=6 / 5$

Standard 11

Physics

Share

Similar Questions

The value of $\hat{ i } \times(\hat{ i } \times a )+\hat{ j } \times(\hat{ j } \times a )+\hat{ k } \times(\hat{ k } \times a )$ is

medium

$\vec A$ and $\vec B$ are two vectors and $\theta$ is the angle between them, if $|\vec A \times \vec B|=\sqrt 3(\vec A \cdot \vec B) $ the value of $\theta$ is ……… $^o$

medium

(AIPMT-2007)

The angle made by the vector $\left( {\hat i\,\, + \;\,\hat j} \right)$ with $x-$ axis and $y$ axis is

easy

Let $\overrightarrow A = \hat iA\,\cos \theta + \hat jA\,\sin \theta $ be any vector. Another vector $\overrightarrow B $ which is normal to $\overrightarrow A$ is

medium

Show that the scalar product of two vectors obeys the law of commutative.

medium