If i, ,j, ,k are the unit vectors and mutually perpendicular, the… - Vidyadip

MCQ

If $i,\,j,\,k$ are the unit vectors and mutually perpendicular, then $[i\,k\,j]$ is equal to

A
$0$
✓
$-1$
C
$1$
D
None of these

✓

Answer

Correct option: B.

$-1$

b
(b) $|i\,k\,j|\, = i\,.\,(k \times j) = i\,.\,( - i) = - 1.$

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 10. vector algebra→10. 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

The corner points of the feasible region determined by the system of linear constraints are (0, 10), (5, 5), (15, 15), (0, 20). Let Z = px + qy, where p, q > 0. Condition on p and q so that the maximum of Z occurs at both the points (15, 15) and (0, 20) is:

For any real numbers $\alpha$ and $\beta$, let $y_{\alpha, \beta}(x), x \in R$, be the solution of the differential equation

$\frac{d y}{d x}+\alpha y=x e^{\beta x}, y(1)=1$

Let $S=\left\{y_{\alpha \beta}(x): \alpha, \beta \in R \right\}$. Then which of the following functions belong(s) to the set $S$ ?

$(A)$ $f( x )=\frac{ x ^2}{2} e ^{- x }+\left( e -\frac{1}{2}\right) e ^{- x }$

$(B)$ $f( x )=-\frac{ x ^2}{2} e ^{- x }+\left( e +\frac{1}{2}\right) e ^{- x }$

$(C)$ $f( x )=\frac{ e ^{ x }}{2}\left( x -\frac{1}{2}\right)+\left( e -\frac{ e ^2}{4}\right) e ^{- x }$

$(D)$ $f( x )=\frac{ e ^{ x }}{2}\left(\frac{1}{2}- x \right)+\left( e +\frac{ e ^2}{4}\right) e ^{- x }$

${\tan ^{ - 1}}1 + {\tan ^{ - 1}}2 + {\tan ^{ - 1}}3 = $

If $y = a\cos \,(\log x) + b\sin \,(\log x)$ where $a,\,b$ are parameters then ${x^2}y''\, + \,xy'\, = $

The value(s) of $\int_0^1 \frac{x^4(1-x)^4}{1+x^2} d x$ is (are)

The equation of the curve passing through the origin and satisfying the differential equation $\left( {1 + {x^2}} \right)\,\frac{{dy}}{{dx}} + 2xy = 4{x^2}$ is

If $f(x)$ is a non-zero polynomial of degree four, having local extreme points at $x = -1, 0, 1;$ then the set $S = \{x \in R; f(x) = f(0)\}$ contains exactly

What is the value of the integral $I = \int {\frac{{dx}}{{(1 + {e^x})\,\,(1 + {e^{ - x}})}}} $

The points $(3, 2, 0), (5, 3, 2)$ and $(-9, 6, -3)$, are the vertices of a triangle $ABC$. $AD$ is the internal bisector of $\angle BAC$ which meets $BC$ at $D$, then the co-ordinates of $D$, are

$\int_{\,\pi /6}^{\,\pi /3} {\,\frac{{dx}}{{1 + \sqrt {\cot x} }}} $ is