The value of \( \vec{r} \) if exist where \( \vec{r}=\vec{a}+\lambda \vec{b} \) and \( \vec{r} \...
The value of \( \vec{r} \) if exist where \( \vec{r}=\vec{a}+\lambda \vec{b} \) and \( \vec{r} \times \vec{c}=\vec{d} \) is
(a) \( \vec{a}+\left(\frac{\vec{a} \cdot \vec{d}}{\vec{b} \cdot \vec{d}}\right) \vec{b} \)
(b) \( \vec{a}-\left(\frac{\vec{a} \cdot \vec{d}}{\vec{b} \cdot \vec{d}}\right) \vec{b} \)
(c) \( \left(\frac{\vec{a} \cdot \vec{d}}{\vec{b} \cdot \vec{d}}\right) \vec{a}-\vec{b} \)
(d) \( \left(\frac{\vec{a} \cdot \vec{d}}{\vec{b} \cdot \vec{d}}\right) \vec{a}+\vec{b} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-06-09 | If \( \vec{a}, \vec{b} \) and \( \vec{c} \) are three mutually perpendicular unit vectors and \(... |
| 2023-06-09 | If \( \left|\begin{array}{lll}(x-a)^{2} & (x-b)^{2} & (x-c)^{2} \\ (y-a)^{2} & (y-b)^{2} & (y-c)... |
| 2023-06-09 | The angle \( \theta \) between two non-zero vectors \( a \) and \( b \) satisfies the relation
\... |
| 2023-06-09 | The position vector of a point \( P \) is \( \vec{r}=x \vec{i}+y \vec{j}+z \vec{k} \), where \( ... |
| 2023-06-09 | If \( a \) is real constant and \( A, B, C \) are variable angles and \( \sqrt{a^{2}-4} \tan A... |
| 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 ... |
0