32-Vectors

Vectors

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Let $\vec{a}, \vec{b}, \vec{c}$ be three vectors each of magnitude $\sqrt{3}$ and the angle between each pair of them is $\frac{\pi}{3}$. If ...
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Abhineet
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D
Let $\quad \overrightarrow{r_1}=\sqrt{2} \cos \theta \hat{i}+\sqrt{3} \sin \theta \hat{j}$
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Amodini
Amodini
Arnav
Let the unit vectors $\vec{a}, \vec{b}, \vec{c}$ be the position vectors of the vertices of a triangle ABC . If $\vec{F}$ is the position vector of...
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solution.livedoubt
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Prove that: f = r*f is conservative and obtain the scalar potential associated with it
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solution.livedoubt
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The value of $|(\bar{r}\cdot\bar{a})(\bar{b}\times\bar{c})+(\bar{r}\cdot\bar{b})(\bar{c}\times\bar{a})+(\bar{r}\cdot\bar{c})(\bar{a} \times\bar{b})|$
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solution.livedoubt
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\[\text{ If A =}\left(5xy-6x^2\right)i+(2y-4x)j\]Evaluate \( \int_{C} A \cdot d x \) where \(C\) is the curve \( y=x^{3} \) in any plane from the...
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solution.livedoubt
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L
$A B C D$ is a quadrilateral and $E$ the point of intersection of the lines joining the middle points of opposite sides.
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Math.LiveDoubtClearing
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M
The direction cosines of a line satisfy the relations \( \lambda(l+m)=n \) and \( m n+n l+l m=0\). The value of \( \lambda \), for which the two lines
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Math.LiveDoubtClearing
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M
Let $\vec{a}=a_1 \hat{i}+a_2 \hat{j}+a_3 \hat{k}$ and $\vec{b}=b_1 \hat{i}+b_2 \hat{j}+b_3 \hat{k}$ be two vectors such that ...
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Math.LiveDoubtClearing
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L
Let $\vec{a}, \vec{b}, \vec{c}$ be three vectors each of magnitude $\sqrt{3}$ and the angle between each pair of them is $\frac{\pi}{3}$.
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1
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1K
Math.LiveDoubtClearing
M
L
Let $A B C$ be a triangle such that $\overrightarrow{B C}=\vec{a}, \overrightarrow{C A}=\vec{b}, \overrightarrow{A B}=\vec{c},|\vec{a}|=6 \sqrt{2},$
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329
Math.LiveDoubtClearing
M
L
Let a vector $\vec{a}$ has a magnitude 9 . Let a vector $\vec{b}$ be such that for every $(\mathrm{x}, \mathrm{y}) \in \mathrm{R} \times \mathrm{R}$
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253
Math.LiveDoubtClearing
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If a variable line in two adjacent positions has direction cosines $l, m, n$ and $l+\delta l$, $m+\delta m, n+\delta n$, show that the small angle
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Math.LiveDoubtClearing
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M
If \( \vec{a} \) satisfies \( \vec{a} \times(\hat{i}+2 \hat{j}+\hat{k})=\hat{i}-\hat{k} \), then \( \vec{a} \) is equal to
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148
Math.LiveDoubtClearing
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A
One vertex of a rectangular parallelopiped is at the origin $O$ and the lengths of its edges along $x, y$ and $z$ axes are 3,4 and 5 units ...
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LiveDoubtClearing
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aryan
Let the vectors $\vec{a}=(1+t) \hat{i}+(1-t) \hat{j}+\hat{k}, \vec{b}=(1-t) \hat{i}+(1+t) \hat{j}+2 \hat{k}$ and $\vec{c}=t \hat{i}-t \hat{j}+\hat{k}$
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LiveDoubtClearing
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aryan
Let $S$ be the set of all $a \in R$ for which the angle between the vectors $\vec{u}=a\left(\log _e b\right) \hat{i}-6 \hat{j}+3 \hat{k}$ and ...
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324
LiveDoubtClearing
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aryan
The vector $\vec{a}=-\hat{i}+2 \hat{j}+\hat{k}$ is rotated through a right angle, passing through the $y$-axis in its way and the resulting vector is
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246
LiveDoubtClearing
L
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In the isosceles triangle $A B C,|\overrightarrow{A B}|=|\overrightarrow{B C}|=8$, a point $E$ divides $A B$ internally in the ratio $1 ; 3$, then the
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210
Math.LiveDoubtClearing
M
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Find the resultant of two vectors of 50N and 80N acting at a point of an angle of 60°?
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anisingh259
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