If a is a nonzero vector of magnitude ' a ' and a nonzero scalar,… - Vidyadip

MCQ

If $\vec{a}$ is a nonzero vector of magnitude ' $a$ ' and $\lambda$ a nonzero scalar, then $\lambda \vec{a}$ is unit vector if :

A
$\lambda=1$
B
$\lambda=-1$
C
$a=|\lambda|$
✓
$a=\frac{1}{|\lambda|}$

✓

Answer

Correct option: D.

$a=\frac{1}{|\lambda|}$

(D) $a=\frac{1}{|\lambda|}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Vector Algebra→Vector Algebra — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If $\int_0^\pi {xf(\sin x)dx = A} \int_0^{\pi /2} {f(\sin x)dx} $, then $A$ is

$\int\limits^\frac{\pi}{2}_0\frac{\sin\text{x}}{\sin\text{x}+\cos\text{x}}\text{ dx}$ equals to :

If $A$ and $B$ are two matrices such that $AB = A$ and $BA = B,$ then $B^2$ is equal to :

Let $f$ be a function defined on the set of all positive integers such that $f(x y)=f(x)+f(y)$ for all positive integers $x, y$. If $f(12)=24$ and $f(8)=15$. The value of $f(48)$ is

If $\text{f}(\text{x})=\frac{1}{4\text{x}^{2}+2\text{x}+1}$, then its maximum value is :

If $\text{f(x)}=\begin{cases}\frac{1-\sin\text{x}}{(\pi-2\text{x}^2)}\times\frac{\log\sin\text{x}}{\log(1+\pi^2-4\pi\text{x}+4\text{x}^2)},&\text{x}\neq\frac{\pi}{2}\\\text{k},&\text{x}=\frac{\pi}{2}\end{cases}$ is continuous at $\text{x}=\frac{\pi}{2},$ then $k =$

$\int {\frac{{\sin \,\frac{{5x}}{2}}}{{\sin \,\frac{x}{2}}}} dx$ is equal to (where $c$ is a constant of integration).

$\int_0^1 {{{\sin }^{ - 1}}\left( {\frac{{2x}}{{1 + {x^2}}}} \right)\,dx = } $

Let $m, n$ be two distinct integers chosen randomly from the set $\{0,1,2, \ldots, 99\}$. Then, the probability that $4^m+4^n+3$ is divisible by $5$ lies in the interval

If a line makes angles $\alpha,\beta,\gamma,\delta$ with four diagonals of a cube, then $\cos^2\alpha+\cos^2\beta+\cos^2\gamma+\cos^2\delta$ is equal to: