The position vectors of the points \( \mathrm{A} \) and \( \mathrm{B} \) with respect to \( \mat....

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=wxm2Q6JFmtw



Duration: 0:51
0 views
0


The position vectors of the points \( \mathrm{A} \) and \( \mathrm{B} \) with respect to \( \mathrm{O} \) are \( 2 \hat{i}+2 \hat{j}+\hat{k} \) and \( 2 \hat{i}+4 \hat{j}+4 \hat{k} \), then
\( \mathrm{P} \)
\( \frac{1}{2}[(\overrightarrow{O A}) \cdot(\overrightarrow{O B})] \) is
(1) 9
(2) 7
(3) 8
(4) None


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-01-22Match the statements/expressions in Column-I with the values given in Column II: \begin{tabular}....
2024-01-22The number of complex numbers \( z \) such that \( (1+i) z \) \( =i|z| \)....
2024-01-22If a line makes angles \( \alpha, \beta \) and \( \gamma \) with the coordinate axes, then \( \c....
2024-01-22Match the following lists. \begin{tabular}{|c|c|c|c|} \hline & List-I & & List -II \\ \hline (A)....
2024-01-22\( \vec{a} \) and \( \vec{c} \) are unit vectors and \( |\vec{b}|=4 \) with \( \vec{a} \times \v....
2024-01-22The vectors \( a, b \) and \( c \) are equal in length and taken pairwise, make equal angles. If....
2024-01-22Let the unit vectors \( a \) and \( b \) be perpendicular and the unit vector \( c \) be incline....
2024-01-22Match the entries of Column-I with those of Column-II. \begin{tabular}{|l|l|l|l|} \hline \multic....
2024-01-22If a vector \( \vec{r} \) satisfies the equation \( \vec{r} \times(\hat{i}+2 \hat{j}+\hat{k})=\h....
2024-01-22The position vectors of the points \( \mathrm{A} \) and \( \mathrm{B} \) with respect to \( \mat....
2024-01-22The position vectors of the points \( \mathrm{A} \) and \( \mathrm{B} \) with respect to \( \mat....
2024-01-22The volume of the tetrahedron whose vertices are the points with position vectors \( i-6 j+10 k,....
2024-01-22Match the items of Column-I with those in Column II. \begin{tabular}{|l|l|l|l|} \hline \multicol....
2024-01-22If the vector \( 2 i-3 j+7 k \) is inclined at angles \( \alpha, \beta, \gamma \) with the coord....
2024-01-22\( P(0,5,6), Q(1,4,7) . R(2,3,7) \) and \( S(3,4,6) \) are four points in the space. The point f....
2024-01-22For non-coplanar vectors \( a, b \) and \( c,|(a \times b) . \mathrm{c}|=|a| \) \( |b||c| \) hol....
2024-01-22The points \( (0,7,10),(-1,6,6) \) and \( (-4,9,6) \) are the vertices of....
2024-01-22\( \left(x^{2}+y^{2}\right) d y=x y d x \). If \( y\left(x_{0}\right)=e, y(1)=1 \), then value o....
2024-01-22If \( \alpha, \beta, \gamma \) are the angles which a line makes with the coordinate axes, then....
2024-01-22\( P(1,1,1) \) and \( Q(\lambda, \lambda, \lambda) \) are two points in the space such that \( P....
2024-01-22The vectors \( A B=3 i-2 j+2 k \) and \( B C=-i-2 k \) are the adjacent sides of a parallelogram....