Vector \( \vec{x} \) satisfying the relation \( \vec{A} \cdot \vec{x}=c \) and \( \vec{A} \times...
Vector \( \vec{x} \) satisfying the relation \( \vec{A} \cdot \vec{x}=c \) and \( \vec{A} \times \vec{x}=\vec{B} \) is
(a) \( \frac{c \vec{A}-(\vec{A} \times \vec{B})}{|\vec{A}|} \)
(b) \( \frac{c \vec{A}-(\vec{A} \times \vec{B})}{|\vec{A}|^{2}} \)
(c) \( \frac{c \vec{A}+(\vec{A} \times \vec{B})}{|\vec{A}|^{2}} \)
(d) \( \frac{c \vec{A}-2(\vec{A} \times \vec{B})}{|\vec{A}|^{2}} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-06-09 | If \( a=x \hat{i}+y \hat{j}+z \hat{k}, b=y \hat{i}+z \hat{j}+x \hat{k} \) and \( c=z \hat{i}+x \... |
| 2023-06-09 | If \( \vec{a}=x \hat{i}+y \hat{j}+z \hat{k}, \vec{b}=y \hat{i}+z \hat{j}+x \hat{k} \) and \( \ve... |
| 2023-06-09 | \( \vec{a}=\hat{i}-\hat{j} ; \vec{b}=\hat{j}-\hat{k}, \vec{c}=\hat{k}-\hat{i} \). If \( \vec{d} ... |
| 2023-06-09 | If \( V_{1}, V_{2}, V_{3} \) are the volumes of parallelopiped, triangular prism and tetrahedron... |
| 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... |
0