If \( \Delta=\left|\begin{array}{ccc}\cos \alpha & \sin \alpha \cos...
If \( \Delta=\left|\begin{array}{ccc}\cos \alpha & \sin \alpha \cos \beta & \sin \alpha \sin \beta \\ -\sin \alpha & \cos \alpha \cos \beta & \cos \alpha \sin \beta \\ 0 & -\sin \beta & \cos \beta\end{array}\right| \)
then \( \Delta \) is independent of
(a) \( \alpha \)
(b) \( \beta \)
(c) \( \gamma \)
(d) none of these
\( \mathrm{P} \)
W
π² PW App Link - https://bit.ly/YTAI_PWAP
π PW Website - https://www.pw.live/
Other Videos By PW Solutions
2023-02-25 | A set of vector \( \left\{\left(a_{1}, a_{2}, a_{3}\right),\left(b_... |
2023-02-25 | Each question in this section has four choices (a), (b), (c) and (d... |
2023-02-25 | Each question in this section has four choices (a), (b), (c) and (d... |
2023-02-25 | A set of vector \( \left\{\left(a_{1}, a_{2}, a_{3}\right),\left(b_... |
2023-02-25 | A set of vector \( \left\{\left(a_{1}, a_{2}, a_{3}\right),\left(b_... |
2023-02-25 | Factors of
\( \Delta=\left|\begin{array}{ccc}x^{3} & y^{3} & z^{3} ... |
2023-02-25 | Each question in this section has four choices (a), (b), (c) and (d... |
2023-02-25 | Let \( A, B \) and \( C \) be \( 2 \times 2 \) matrices with entrie... |
2023-02-25 | Each question in this section has four choices (a), (b), (c) and (d... |
2023-02-25 | The determinant \( \left|\begin{array}{lll}\sin ^{2} \alpha & \sin ... |
2023-02-25 | If \( \Delta=\left|\begin{array}{ccc}\cos \alpha & \sin \alpha \cos... |
2023-02-25 | If \( a, b, c \in \boldsymbol{R} \) and \( a^{2}+b^{2}-a b-a-b+1 \l... |
2023-02-25 | If \( a_{i}, b_{i} \in \mathbf{N} \) for \( i=1,2,3 \) then the coe... |
2023-02-25 | If \( \phi \in \mathbf{R} \) then \( \Delta(\phi)= \)
\[
\left|\beg... |
2023-02-25 | If \( a b c \neq 0 \), then
\[
\Delta(x)=\left|\begin{array}{ccc}
a... |
2023-02-25 | If \( \Delta=\left|\begin{array}{ccc}\sin \alpha & \cos \alpha & \s... |
2023-02-25 | If \( a^{2}+b^{2}+c^{2}=1 \), then
\[
\left|\begin{array}{cc}
a^{2}... |
2023-02-25 | If \( a_{i}, b_{i}, c_{i} \in \mathbf{R}(i=1,2,3) \) and \( x \in \... |
2023-02-25 | Let \( a, b, c, d \) be four real numbers and let
\[
\Delta=\left|\... |
2023-02-25 | If \( a \neq b \), the equation \( \left|\begin{array}{ccc}x & a & ... |
2023-02-25 | Number of real values of \( \lambda \) for which the system of equa... |