Let the position vectors of points ' \(A\) ' and 'B' be \(\hat{i}+\hat{j}+\hat{k}\) and \(2 \hat....

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=pWeS8jQhQIo



Duration: 7:15
2 views
0


Let the position vectors of points ' \(A\) ' and 'B' be \(\hat{i}+\hat{j}+\hat{k}\) and \(2 \hat{i}+\hat{j}+3 \hat{k}\), respectively. A point ' \(\mathrm{P}\) ' divides the line segment \(A B\) internally in the ratio \(\lambda: 1(\lambda>0)\). If \(\mathrm{O}\) is the origin and \(\overrightarrow{\mathrm{OB}} \cdot \overrightarrow{\mathrm{OP}}-3|\overrightarrow{\mathrm{OA}} \times \overrightarrow{\mathrm{OP}}|^2=6\), then \(\lambda\) is equal to________ 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-07-29A wire of length \(20 \mathrm{~m}\) is to be cut into two pieces one of the pieces is to be made....
2024-07-29Let \(S\) be the set of all the natural numbers, for which the line \(\frac{x}{a}+\frac{y}{b}=2\....
2024-07-29Let \(\vec{a}=2 \hat{i}-\hat{j}+2 \hat{k}\) and \(\vec{b}=\hat{i}+2 \hat{j}-\hat{k}\). Let a vec....
2024-07-29Consider a cuboid of sides \(2 x, 4 x\), and \(5 x\) and a closed hemisphere of radius \(r\). If....
2024-07-29\(S_1\) and \(S_1\) are two identical sound sources of frequency \(656 \mathrm{~Hz}\). The sourc....
2024-07-29If the points \(P\) and \(Q\) are respectively the circumcentre and the orthocentre of a \(\tria....
2024-07-29The width of fringe is \(2 mm\) on the screen in a double slits experiment for the light of wave....
2024-07-29For a specific wavelength \(670 \mathrm{~nm}\) of light coming from a galaxy moving with velocit....
2024-07-29Let \(\vec{a}=\alpha \hat{i}+\hat{j}+\beta \hat{k}\) and \(\vec{b}=3 \hat{i}+5 \hat{j}+4 \hat{k}....
2024-07-29If \(\vec{a} \cdot \vec{b}=1, \vec{b} \cdot \vec{c}=2, \vec{c} \cdot \vec{a}=3\), then the value....
2024-07-29Let the position vectors of points ' \(A\) ' and 'B' be \(\hat{i}+\hat{j}+\hat{k}\) and \(2 \hat....
2024-07-29Let \(\vec{a}\) and \(\vec{b}\) be two vector such that \(|\vec{a}|=\sqrt{14},|\vec{b}|=\sqrt{6}....
2024-07-29Let \(\vec{a}=3 \hat{i}+\hat{j}-\hat{k}\) and \(\vec{c}=2 \hat{i}-3 \hat{j}+3 \hat{k}\). If \(\v....
2024-07-29Let \(P Q R\) be a triangle. The points \(A, B\) and \(C\) are on the sides \(Q R, R P\) and \(P....
2024-07-29Let \(S=\left\{\theta \in(0,2 \pi): 7 \cos ^2 \theta-3 \sin ^2 \theta-2 \cos ^2 2 \theta=2\right....
2024-07-29Let \(\vec{a}=2 \hat{i}+\hat{j}-\hat{k}\) and \(\vec{b}=\hat{i}+2 \hat{j}+\hat{k}\) be two vecto....
2024-07-29Let \(a, b\), and \(c\) be distinct positive numbers. If the vectors \(a \hat{i}+a \hat{j}+c \ha....
2024-07-29Let \(\hat{\imath}, \hat{\jmath}\) and \(\hat{k}\) be the unit vectors along the three positive ....
2024-07-29If \(\vec{a}=2 \hat{i}+\hat{j}+3 \hat{k}, \vec{b}=3 \hat{i}+3 \hat{j}+\hat{k}\) and \(\vec{c}=c_....
2024-07-29Let the position vectors of the points \(P, Q, R\) and \(S\) be \(\vec{a}=\hat{i}+2 \hat{j}-5 \h....
2024-07-29Let \(f(\theta)=3\left(\sin ^4\left(\frac{3 \pi}{2}-\theta\right)+\sin ^4(3 \pi+\theta)\right)-2....