If \( \vec{x} \) and \( \vec{y} \) are two non-collinear vectors and \( A B C \) is a triangle w... VIDEO
If \( \vec{x} \) and \( \vec{y} \) are two non-collinear vectors and \( A B C \) is a triangle with side lengths \( a, b \) and \( c \) satisfying \( (20 a-15 b) \vec{x}+(15 b-12 c) \vec{y}+(12 c-20 a)(\vec{x} \times \vec{y})=\overrightarrow{0} \), then triangle \( A B C \) is
(a) An acute-angled triangle
(b) An obtuse-angled triangle
(c) A right-angled triangle
(d) An isosceles triangle
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-06-09 If \( a=\frac{1}{\sqrt{10}}(3 \hat{i}+\hat{k}) \) and \( b=\frac{1}{7}(2 \hat{i}+3 \hat{j}-6 \ha... 2023-06-09 The value of \( \vec{r} \) if exist where \( \vec{r}=\vec{a}+\lambda \vec{b} \) and \( \vec{r} \... 2023-06-09 Volume of tetrahedron determined by vectors \( \vec{a}, \vec{b} \) and \( \vec{c} \) is \( \frac... 2023-06-09 Consider \( \triangle A B C \) with \( A \equiv(\vec{a}), B \equiv(\vec{b}) \) and \( c=(\vec{c}... 2023-06-09 If \( a . b \) and \( c \) are any three non-zero vectors, then the component of \( a \times(b \... 2023-06-09 Let \( a=\hat{i}+\hat{j}, b=\hat{j}+\hat{k} \) and \( c=\alpha a+\beta b \). If the vectors, \( ... 2023-06-09 Vector \( \vec{x} \) satisfying the relation \( \vec{A} \cdot \vec{x}=c \) and \( \vec{A} \times... 2023-06-09 The scalar triple product \( \left[\begin{array}{lll}\vec{a}+\vec{b}-\vec{c} & \vec{b}+\vec{c}-\... 2023-06-09 Let \( a, b, c b \) three vectors of magnitude 1,1 and 2 respectively. If \( a \times(a \times c... 2023-06-09 If \( b \) is a vector whose initial point divides the join of \( 5 \hat{i} \) and \( 5 \hat{j} ... 2023-06-09 If \( \vec{x} \) and \( \vec{y} \) are two non-collinear vectors and \( A B C \) is a triangle w... 2023-06-09 Unit vector perpendicular to the plane of the triangle \( A B C \) with position vectors of the ... 2023-06-09 \( A, B, C \) and \( D \) are four points in a plane with position vectors \( \vec{a}, \vec{b}, ... 2023-06-09 If \( \vec{r}=a(\vec{m} \times \vec{n})+b(\vec{n} \times \vec{l})+c(\vec{l} \times \vec{m}) \) a... 2023-06-09 If \( \vec{a}, \vec{b}, \vec{c} \) are unit vectors, then the value of \( |\vec{a}-2 \vec{b}|^{2... 2023-06-09 The point of intersection of lines \( L_{1}:(1+\lambda) \hat{i}+(2+2 \lambda) \hat{j}+(3+3 \lamb... 2023-06-09 If \( \vec{a}=2 \hat{i}+\lambda \hat{j}+3 \hat{k} ; \vec{b}=3 \hat{i}+3 \hat{j}+5 \hat{k} ; \vec... 2023-06-09 The angle between the two straight lines \( \vec{r}_{1}=3 \hat{i}-2 \hat{j}+4 \hat{k} \) \( +\la... 2023-06-09 If \( \vec{a}=\vec{b}+\vec{c}, \vec{b} \times \vec{d}=\overrightarrow{0} \) and \( \vec{c} \cdot... 2023-06-09 If \( \vec{a} \times[\vec{a} \times(\vec{a} \times \vec{b})]=\lambda(\vec{a} \times \vec{b})\lef... 2023-06-09 If the vectors \( 4 \hat{i}+11 \hat{j}+m \hat{k}, 7 \hat{i}+2 \hat{j}+6 \hat{k} \) and \( \hat{i...