Aspire Faculty ID #17300 · Topic: CUET UG 2022 Applied Mathematics · Just now
CUET UG 2022 Applied Mathematics

If $x(\mathbf{i}+\mathbf{j}+\mathbf{k})$ is a unit vector then value of $x$ is:

Solution

Vector $\vec v = x(\mathbf{i}+\mathbf{j}+\mathbf{k})$ Magnitude of unit vector $|\vec v|=1$ $|x(\mathbf{i}+\mathbf{j}+\mathbf{k})| =|x|\sqrt{1^2+1^2+1^2}$ $=|x|\sqrt{3}$ Since magnitude is 1 $|x|\sqrt{3}=1$ $|x|=\frac{1}{\sqrt{3}}$ Therefore $x=\pm\frac{1}{\sqrt{3}}$
← Previous Next →

Previous 10 Questions — CUET UG 2022 Applied Mathematics

Nearest first
1
The area of the parallelogram whose adjacent sides are $(\mathbf{i}+\mathbf{k})$ and $(2\mathbf{i}+\mathbf{j}+\mathbf{…
Topic: CUET UG 2022 Applied Mathematics
 2
The corner points of the feasible region for an L.P.P are$(2,0),(7,0),(4,5),(0,3)$and$z=2x+3y$is the objective function…
Topic: CUET UG 2022 Applied Mathematics
 3
The value of$\mathbf{i}\cdot(\mathbf{j}\times\mathbf{k})+\mathbf{j}\cdot(\mathbf{i}\times\mathbf{k})+\mathbf{k}\cdot(\m…
Topic: CUET UG 2022 Applied Mathematics
 4
If $\cos\alpha,\cos\beta,\cos\gamma$ are the direction cosines of vector $\vec a$, then value of $\cos 2\alpha + \cos …
Topic: CUET UG 2022 Applied Mathematics
 5
$\int \tan x(\sec x - \tan x)\,dx =$
Topic: CUET UG 2022 Applied Mathematics
 6
$\frac{d}{dx}\left[\int_{0}^{2a} f(\sin 2x)\,dx\right] =$
Topic: CUET UG 2022 Applied Mathematics
 7
The order of the differential equation whose general solution is  $y = e^x (a\cos x + b\sin x)$, where $a$ an…
Topic: CUET UG 2022 Applied Mathematics
 8
Match List I with List II List I List II A. $\int \frac{1}{x+\sqrt{x}}\,dx$I. $2\sqrt{x}+C$  B…
Topic: CUET UG 2022 Applied Mathematics
 9
If $y = e^{\log(\sin^{-1}(x))} + e^{\log(\cos^{-1}(x))},\; 0 < x < 1$ then
Topic: CUET UG 2022 Applied Mathematics
 10
If $y=\log(\sec e^{x^2})$, then $\frac{dy}{dx}=$
Topic: CUET UG 2022 Applied Mathematics

Next 10 Questions — CUET UG 2022 Applied Mathematics

Ascending by ID
1
The point of intersection of the lines $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and $\frac{x-4}{5}=\frac{y-1}{2}=…
Topic: CUET UG 2022 Applied Mathematics
 2
The distance between the point $(3,4,5)$ and the point where the line $\frac{x-3}{1}=\frac{y-4}{2}=\frac{z-5}{2}$ mee…
Topic: CUET UG 2022 Applied Mathematics
 3
If events $A$ and $B$ are independent, then identify the correct statements(A) $A$ and $B$ must be mutually exclusive&n…
Topic: CUET UG 2022 Applied Mathematics
 4
The equation of plane passing through the point $(0,7,-7)$ and containing the line$\frac{x+1}{-3}=\frac{y-3}{2}=\frac{z…
Topic: CUET UG 2022 Applied Mathematics
 5
If $A$ and $B$ are two independent events with&nbsp;&nbsp;$P(A)=\frac{3}{5}$ and $P(B)=\frac{4}{9}$, then$P(A' \cap B')…
Topic: CUET UG 2022 Applied Mathematics
 6
A line$\frac{x-2}{1}=\frac{y-3}{2}=\frac{z-1}{-1}$is perpendicular to a plane $(P)$ which passes through the point $(4,…
Topic: CUET UG 2022 Applied Mathematics
 7
A biased dice is thrown once. If $X$ denotes the number appearing on it and the probability distribution is&nbsp;$x:$1&…
Topic: CUET UG 2022 Applied Mathematics
 8
In a school, an auditorium was used for its cultural activities. The shape of the floor of the auditorium is rectangu…
Topic: CUET UG 2022 Applied Mathematics
 9
In a school, an auditorium was used for its cultural activities. The shape of the floor of the auditorium is rectangu…
Topic: CUET UG 2022 Applied Mathematics
 10
In a school, an auditorium was used for its cultural activities.&nbsp;&nbsp;The shape of the floor of the auditorium is…
Topic: CUET UG 2022 Applied Mathematics
Ask Your Question or Put Your Review.

loading...