Let \( \vec{a}, \vec{b} \) and \( \vec{c} \) be three unit vectors ...
Let \( \vec{a}, \vec{b} \) and \( \vec{c} \) be three unit vectors such that
P
W \( \overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{c}}=\overrightarrow{0} \). If \( \lambda=\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{b}} \cdot \overrightarrow{\mathrm{c}}+\overrightarrow{\mathrm{c}} \cdot \overrightarrow{\mathrm{a}} \quad \) and \( \overrightarrow{\mathrm{d}}=\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}}+\overrightarrow{\mathrm{c}} \times \overrightarrow{\mathrm{a}} \) then the ordered pair, \( (\lambda, \overrightarrow{\mathrm{d}}) \) is equal to:
(1) \( \left(\frac{3}{2}, 3 \overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{c}}\right) \)
(2) \( \left(-\frac{3}{2}, 3 \overrightarrow{\mathrm{c}} \times \overrightarrow{\mathrm{b}}\right) \)
(3) \( \left(-\frac{3}{2}, 3 \vec{a} \times \vec{b}\right) \)
(4) \( \left(\frac{3}{2}, 3 \overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}}\right) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-04-06 | If the area of the parallelogram with \( \vec{a} \) and \( \vec{b} ... |
| 2023-04-06 | For any vector \( a \), the value of \( (a \times i)^{2}+(a \times ... |
| 2023-04-06 | The vectors from origin to the points \( \mathrm{A} \) and \( \math... |
| 2023-04-06 | Three vectors \( \vec{a}, \vec{b}, \vec{c} \) are such that \( \vec... |
| 2023-04-06 | \( (\vec{a} \cdot \hat{i})(\vec{a} \times \hat{i})+(\vec{a} \cdot \... |
| 2023-04-06 | A unit vector perpendicular to the plane of
\( \mathrm{P} \) \( \ve... |
| 2023-04-06 | Let \( \vec{a}=3 \hat{i}+2 \hat{j}+2 \hat{k} \) and \( \vec{b}=\hat... |
| 2023-04-06 | Let \( \vec{a}=3 \hat{i}+2 \hat{j}+x \hat{k} \) and \( \vec{b}=\hat... |
| 2023-04-06 | If \( \vec{a}, \vec{b} \) and \( \vec{c} \) are unit vectors such t... |
| 2023-04-06 | Let \( \vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{c}=\hat{j}-\hat{k} \) ... |
| 2023-04-06 | Let \( \vec{a}, \vec{b} \) and \( \vec{c} \) be three unit vectors ... |
| 2023-04-06 | If \( \vec{x} \) and \( \vec{y} \) are two non-collinear vectors an... |
| 2023-04-06 | Let \( \vec{a}, \vec{b}, c \) be three unit vectors such that angle... |
| 2023-04-06 | If two out of the three vectors \( \vec{a}, \vec{b}, \vec{c} \) are... |
| 2023-04-06 | If \( \vec{a}, \vec{b} \) are unit vectors such that \( |\vec{a}+\v... |
| 2023-04-06 | Let \( \vec{a} \) and \( \vec{b} \) be two unit vectors and \( \alp... |
| 2023-04-06 | If \( \vec{a} \) and \( \vec{b} \) are unit vector, then the greate... |
| 2023-04-06 | Statement I: If \( \mathrm{u} \) and \( \mathrm{v} \) are unit vect... |
| 2023-04-06 | If \( \vec{a}, \vec{b} \) and \( \vec{c} \) are unit vector satisfy... |
| 2023-04-06 | If the sum of two unit vector is a unit vector, then
\( \mathrm{P} ... |
| 2023-04-06 | If \( \vec{a} \) of magnitude 50 is collinear with the vector
P \( ... |
0