In a quadrilateral \( A B C D \) it is given that \( A B \| C D \) and the diagonals \( A C \) a...

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=leJ6YSYJOy8



Duration: 10:09
5 views
0


In a quadrilateral \( A B C D \) it is given that \( A B \| C D \) and the diagonals \( A C \) and \( B D \) are perpendicular to each other, Show that \( A D \cdot B C \geq A B \cdot C D \).
šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-09Show that the p.v. of circumcentre of a tetrahedron \( O A B C \) is (where \( O \) is the ori...
2023-06-09Let a vector \( \vec{a} \) be coplanar with vectors \( \vec{b}=2 \hat{i}+\hat{j}+\hat{k} \) and ...
2023-06-09Let \( \vec{p}=2 \hat{i}+3 \hat{j}+\hat{k} \) and \( \vec{q}=\hat{i}+2 \hat{j}+\hat{k} \) be two...
2023-06-09Let \( \vec{a}, \vec{b}, \vec{c} \) be three mutually perpendicular vectors of the same magnitud...
2023-06-09Let \( \vec{a}=\alpha \hat{i}+\hat{j}-\hat{k} \) and \( \vec{b}=2 \hat{i}+\hat{j}-\alpha \hat{k}...
2023-06-09Let \( \vec{a}=\hat{i}-2 \hat{j}+3 \hat{k}, \vec{b}=\hat{i}+\hat{j}+\hat{k} \) and \( \vec{c} \)...
2023-06-09Let \( A B C \) be a triangle such that \( \overrightarrow{B C}=\vec{a}, \overrightarrow{C A}=\v...
2023-06-09Let \( \vec{a}=2 \hat{i}-\hat{j}+5 \hat{k} \) and \( \vec{b}=\alpha \hat{i}+\beta \hat{j}+2 \hat...
2023-06-09Let a vector \( \vec{a} \) has a magnitude 9. Let a vector \( \vec{b} \) be such that for every ...
2023-06-09Let \( \vec{a} \) and \( \vec{b} \) be two vectors such that \( |\vec{a}+\vec{b}|^{2}=|\vec{a}|^...
2023-06-09In a quadrilateral \( A B C D \) it is given that \( A B \| C D \) and the diagonals \( A C \) a...
2023-06-09Given four non-zero vectors \( \vec{a}, \vec{b}, \vec{c} \) and \( \vec{d} \). The vectors \( \v...
2023-06-09Find the scalars \( \alpha \) and \( \beta \) if \( \vec{a} \times(\vec{b} \times \vec{c})+(\vec...
2023-06-09Solve the following equation for the vector \( \vec{p} ; \vec{p} \times \vec{a} \) \( +(\vec{p} ...
2023-06-09Let \( \left(\begin{array}{lll}\left(a_{1}-a\right)^{2} & \left(a_{1}-b\right)^{2} & \left(a_{1}...
2023-06-09Let \( \vec{a}=\sqrt{3} \hat{i}-\hat{j} \) and \( \vec{b}=\frac{1}{2} \hat{i}+\frac{\sqrt{3}}{2}...
2023-06-09Let \( \vec{a}=3 \hat{i}+\hat{j} \) and \( \vec{b}=\hat{i}+2 \hat{j}+\hat{k} \). Let \( \vec{c} ...
2023-06-09If the vectors \( \vec{b}, \vec{c}, \vec{d} \) are not coplanar, then prove that the vector \( (...
2023-06-09\( O \) is the origin of vectors and \( A \) is a fixed point on the circle of radius \( a \) ...
2023-06-09\( \vec{a}, \vec{b}, \vec{c} \) and \( \vec{d} \) are the position vectors of the points \( A \e...
2023-06-09Prove that: \[ (\vec{a} \times \vec{b}) \times(\vec{c} \times \vec{d})+(\vec{a} \times \vec{c}) ...