If \( \hat{i}, \hat{j} \) and \( \hat{k} \) are unit vectors along \( X, Y \) and \( Z \) axis r...
If \( \hat{i}, \hat{j} \) and \( \hat{k} \) are unit vectors along \( X, Y \) and \( Z \) axis respectively, then tick the wrong statement
(a) \( \hat{i} . \hat{i}=1 \)
(b) \( \hat{i} \times \hat{j}=\hat{k} \)
(c) \( \hat{i} . \hat{j}=0 \)
(d) \( \hat{i} \times \hat{k}=-\hat{i} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2023-06-19 | An aeroplane flies from \( P(-4 \mathrm{~m},-5 \mathrm{~m},+8 \mathrm{~m}) \) to \( Q \) \( (7 \... |
2023-06-19 | Can the resultant of two vectors be zero
(a) Yes, when the 2-vectors are same in magnitude and d... |
2023-06-19 | If \( \vec{A}=(2 \hat{i}+3 \hat{j}-\hat{k}) m \) and \( \vec{B}=(\hat{i}+2 \hat{j}+2 \hat{k}) m ... |
2023-06-19 | Which of the following relations is true for two unit vector \( \hat{A} \) and \( \hat{B} \) mak... |
2023-06-19 | A force \( \vec{F}=(\hat{i}+2 \hat{j}+3 \hat{k}) N \) acts at a point \( (4 \hat{i}+3 \hat{j}-\h... |
2023-06-19 | \[ \int_{-\pi / 2}^{+\pi / 2}(\operatorname{Sin} x+\cos x) d x \] (a) 24 (b) 2 (c) -2 (d) -4 |
2023-06-19 | \[
\int \tan x d x
\]
(a) \( \log _{e} \sec x(b) \log _{e} \cot x(c) \log _{e} \sin x(d) \log _{... |
2023-06-19 | If \( f(x)=3 x^{2}-1 \), find \( \int f(x) d x \) for limits between \( x=0 \) to \( x=3 \)
(a) ... |
2023-06-19 | \[
\int \frac{\sin 2 x}{\sin x} d x
\]
(a) \( 2 \sin x \)
(b) \( 4 \sin x \)
(c) \( 2 \cos x \)
... |
2023-06-19 | \[
\int \frac{x}{3 x^{2}-1} d x
\]
(a) \( \frac{1}{3} \log e\left(3 x^{2}-1\right) \)
(b) \( \fr... |
2023-06-19 | If \( \hat{i}, \hat{j} \) and \( \hat{k} \) are unit vectors along \( X, Y \) and \( Z \) axis r... |
2023-06-19 | If \( \vec{A}=\hat{i}+2 \hat{j}+3 \hat{k}, \vec{B}=-\hat{i}+\hat{j}+4 \hat{k}, \vec{C}=3 \hat{i}... |
2023-06-19 | A body is moving in circular path with constant speed \( v \) and \( A \) and \( B \), describin... |
2023-06-19 | Consider a Vernier calipers in which each \( 1 \mathrm{~cm} \) on the main scale is divided into... |
2023-06-19 | \[
\int_{-2}^{+2}\left(t^{2}-1\right) d t
\]
(a) \( \frac{3}{4} \)
(b) \( \frac{4}{3} \)
(c) \( ... |
2023-06-19 | \( y=\sin u, x=\cos u \). Find \( \frac{d y}{d x} \)
(a) \( -\cot u \)
(b) \( \tan u \)
(c) \( -... |
2023-06-19 | Plancks constant \( h \), speed of light \( c \) and gravitational constant \( G \) are used to ... |
2023-06-19 | \[
y=3 t^{2}-1, x=2 t \text { Find } \frac{d y}{d x} \text {. }
\]
(a) \( 5 t \)
(b) \( -5 t \)
... |
2023-06-19 | Find a unit vector perpendicular to both the vectors \( (2 \hat{i}+3 \hat{j}+\hat{k}) \) and \( ... |
2023-06-19 | In a Vernier Calliper, 10 divisions of Vernier scale is equal to the 9 divisions of main scale. ... |
2023-06-19 | If \( \sqrt{3}|\vec{A} \times \vec{B}|=\vec{A} \cdot \vec{B} \), then find the angle between \( ... |